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12 pages, 2868 KiB  
Article
Numerical Simulation of Flow and Flame Dynamics of a Pool Fire Under Combined Effects of Wind and Slope
by Yujia Sun, Lin Jiang and Yue Chen
Fire 2024, 7(11), 421; https://doi.org/10.3390/fire7110421 (registering DOI) - 20 Nov 2024
Abstract
Wind has a significant effect on pool fire behavior, which is relevant to many fire conditions, such as wildfires, building fires, and oil transportation fires. Although fire behavior and morphology changes have received considerable attention and been widely researched, there are few works [...] Read more.
Wind has a significant effect on pool fire behavior, which is relevant to many fire conditions, such as wildfires, building fires, and oil transportation fires. Although fire behavior and morphology changes have received considerable attention and been widely researched, there are few works concerning the flow and flam dynamics of pool fire. A large eddy simulation model is adopted to investigate the flow and flame dynamics of a rectangular pool fire considering the combined effects of wind and slope. The results show that, with a wind speed of 0.5 m/s, a flame develops immediately downstream of the fire source and sustains two flanks of plume. Further downstream, the plume starts to rise due to buoyant force. Temperature, velocity, and vorticity distributions show significantly different shapes at different streamwise locations. Near the fire source, the flame is confined to a small region around the fire source. The air circulation downstream shows a cylindrical spiring pattern. When the wind speed increases, the temperature and velocity become more parallel to the surface and their maximum values increase. On the contrary, the temperature fluctuations and turbulent kinetic energy decrease with the wind speed, and they are more frequent near the flame tails. Full article
(This article belongs to the Special Issue Pool Fire Behavior in Wind)
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Figure 1
<p>Schematic of the physical model and meshes.</p>
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<p>Transient temperature and Q-criterion contours for U<sub>ref</sub> = 0.5 m/s. The dark-colored region on the slope is the fire source. The Q-criterion is rendered for values larger than 20 s<sup>−1</sup>, and its color represents the magnitude of velocity.</p>
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<p>The CH<sub>4</sub>, temperature, velocity magnitude, and x component of vorticity distributions along spanwise cross-sections at two streamwise locations: X = 0.9 m and X = 1.5 m (looking in the x-positive direction).</p>
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<p>Tangential velocity vectors near the slope at X = 1.5 m.</p>
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<p>Effect of wind speed on the time-averaged temperature field at the streamwise middle cross-section.</p>
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<p>Effect of wind speed on the time-averaged temperature fluctuations at the streamwise middle cross-section.</p>
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<p>Effect of wind speed on the time-averaged velocity magnitude at the streamwise middle cross-section.</p>
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<p>Effect of wind speed on the turbulent kinetic energy at the streamwise middle cross-section.</p>
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25 pages, 5046 KiB  
Article
Retrograde Condensation in Gas Reservoirs from Microporous to Field-Scale Simulation
by Manoela Dutra Canova, Marcos Vitor Barbosa Machado and Marcio da Silveira Carvalho
Gases 2024, 4(4), 421-445; https://doi.org/10.3390/gases4040022 (registering DOI) - 20 Nov 2024
Abstract
Hydrocarbon fields that contain non-associated gas, such as gas condensate, are highly valuable in terms of production. They yield significant amounts of condensate alongside the gas, but their unique behavior presents challenges. These reservoirs experience constant changes in composition and phases during production, [...] Read more.
Hydrocarbon fields that contain non-associated gas, such as gas condensate, are highly valuable in terms of production. They yield significant amounts of condensate alongside the gas, but their unique behavior presents challenges. These reservoirs experience constant changes in composition and phases during production, which can lead to condensate blockage near wells. This blockage forms condensate bridges that hinder flow and potentially decrease gas production. To address these challenges, engineers rely on numerical simulation as a crucial tool to determine the most effective project management strategy for producing these reservoirs. In particular, relative permeability curves are used in these simulations to represent the physical phenomenon of interest. However, the representativeness of these curves in industry laboratory tests has limitations. To obtain more accurate inputs, simulations at the pore network level are performed. These simulations incorporate models that consider alterations in interfacial tension and flow velocity throughout the reservoir. The validation process involves reproducing a pore network flow simulation as close as possible to a commercial finite difference simulation. A scale-up methodology is then proposed, utilizing an optimization process to ensure fidelity to the original relative permeability curve at a microporous scale. This curve is obtained by simulating the condensation process in the reservoir phenomenologically, using a model that captures the dependence on velocity. To evaluate the effectiveness of the proposed methodology, three relative permeability curves are compared based on field-scale productivities and the evolution of condensate saturation near the wells. The results demonstrate that the methodology accurately captures the influence of condensation on well productivity compared to the relative permeability curve generated from laboratory tests, which assumes greater condensate mobility. This highlights the importance of incorporating more realistic inputs into numerical simulations to improve decision-making in project management strategies for reservoir development. Full article
(This article belongs to the Section Natural Gas)
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Figure 1
<p>Representation of flow paths (in blue lines) in the carbonate plug [<a href="#B14-gases-04-00022" class="html-bibr">14</a>].</p>
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<p>P-T diagram for the modeled fluid.</p>
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<p>Ternary representation of the distribution of the phase saturations (S<sub>g</sub>, S<sub>o</sub>, and S<sub>w</sub>) at the end of the simulation.</p>
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<p>Simulation results for the five simulated gridblock dimensions. (<b>a</b>) The graph shows the final average gas saturation for the lower layer. (<b>b</b>) The graph on the right shows the simulation time necessary to reach the steady state. In yellow, we have the simulation results with gridblock side 2.1284 mm and flow rate 0.0002 m<sup>3</sup>/d; in orange, the simulation results with gridblock side 2.1284 cm and flow rate 0.2 m<sup>3</sup>/d; in green, the simulation results with gridblock side 2.1284 dm and flow rate 200 m<sup>3</sup>/d; in blue, the simulation results with gridblock side 2.1284 m and flow rate 200 × 10<sup>3</sup> m<sup>3</sup>/d; and in brown, the simulation results with gridblock side 2.1284 dam and flow rate 200 × 10<sup>6</sup> m<sup>3</sup>/d.</p>
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<p>Variation in gas and oil (condensate) residual saturation values with trapping number.</p>
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<p>Variation in relative permeability values of gas and oil (condensate) endpoint with trapping number.</p>
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<p>Variation in relative permeability exponent values (Brooks–Corey) of gas and oil (condensate) with trapping number.</p>
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<p>Final relative permeability curve after upscaling.</p>
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<p>Relative permeability curve of the Brooks–Corey original-adjustment microscale for a low trapping number.</p>
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<p>Typical normalized curve obtained from the laboratory gas–oil relative permeability test.</p>
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<p>Gas net pay (in meters) distribution in a 3D mesh for field-scale simulation.</p>
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<p>(<b>a</b>) Graph of productivity values concerning gas for simulations with three different relative permeability curves—well P09. (<b>b</b>) Graph of productivity values in relation to gas for simulations with three different relative permeability curves—well P18. Blue curves are overlapped by the green curves.</p>
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<p>(<b>a</b>) Graph of productivity values concerning oil for simulations with three different relative permeability curves—well P09. (<b>b</b>) Graph of productivity values in relation to oil for simulations with three different relative permeability curves—well P18.</p>
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<p>Regions of interest close to the wells for evaluating condensate saturation, showing the values at the end of the simulation schedule.</p>
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<p>(<b>a</b>) Evolution of average oil saturation in the Well09 region. (<b>b</b>) Evolution of average oil saturation in the Well18 regions.</p>
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11 pages, 4964 KiB  
Article
Impact of Four Weeks of TOGU Training on Neuromuscular Control and Golf Swing Performance
by Mohan Li, Caixian Ruan and Lin Zhang
J. Funct. Morphol. Kinesiol. 2024, 9(4), 243; https://doi.org/10.3390/jfmk9040243 (registering DOI) - 19 Nov 2024
Abstract
Purpose: To assess the impact of a four-week training program combining TOGU (a functional training system and equipment) Balanza and Dynair® Ballkissen equipment on core strength, balance ability, and golf swing performance in golf athletes. Methods: The TOGU group participated in TOGU [...] Read more.
Purpose: To assess the impact of a four-week training program combining TOGU (a functional training system and equipment) Balanza and Dynair® Ballkissen equipment on core strength, balance ability, and golf swing performance in golf athletes. Methods: The TOGU group participated in TOGU training three times weekly and regular golf skill training over four weeks. The control group only participated in regular golf skill training. The functional movement screening (FMS) assessment system modified the Clinical Test of Sensory Interaction on Balance (mCTSIB), and Unilateral Stance Tests (USTs) were used to assess neuromuscular control. Data are expressed as mean ± standard deviation (SD) and utilized the independent samples t-test and the paired t-test for statistical analysis. Results: (1) Following the four-week training, there was significant improvement of the TOGU group in the total score of FMS, notably in squats and in-line lunges (p < 0.05). (2) Significant reductions in COG sway velocity were observed: Foam-EO (−30.9%, p < 0.01) Firm-EC (−35.18%, p < 0.05) and Foam-EC (−36.78%, p < 0.005). UST also improved: L-EO (−34.39%, p < 0.005), L-EC (−29.92%, p < 0.005), R-EO (−48.67%, p < 0.01), and R-EC (−39.38%, p = 0.0857). (3) Club head speed (CHS) tests indicated significant enhancement (p < 0.01), improved ball speed (p < 0.005), driving distance (p < 0.0553), and hitting efficiency (p < 0.01). The control group showed no significant changes in all tests after four weeks of regular golf skill training. Conclusions: A TOGU-based golf core training program can significantly improve a golfers’ neuromuscular control, core stability, and coordination, and enhance their swing performance. Full article
(This article belongs to the Section Kinesiology and Biomechanics)
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<p>Experimental plan flowchart.</p>
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<p>Depiction of exercise programs. (<b>A</b>): Plank. (<b>B</b>): Russian twist. (<b>C</b>): Prone back extensions. (<b>D</b>): Kneeling universal disc plank support. (<b>E</b>): Single-leg universal disc touch support on both sides. (<b>F</b>): Standing support on both feet with a universal disc. (<b>G</b>): Standing support on both feet with a universal disc while holding a medicine ball. (<b>H</b>): Plank exercise with a universal disc. (<b>I</b>): Single-leg standing support with a universal disc while holding a ball. (<b>J</b>): Plank exercise with a balance cushion. (<b>K</b>): Push-ups with a balance cushion. (<b>L</b>): Standing body rotation with rope. (<b>M</b>): Single-leg standing support with a universal disc. (<b>N</b>): Core anti-rotation while standing on a balance cushion. (<b>O</b>): Throwing medicine ball while standing on a balance cushion. The training movements generally involved the subject performing the entire golf swing motion with the power stick—including the setup, backswing, downswing, and follow-through—repeated in sequence.</p>
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<p>mCTSIB and UST subject-testing diagrams. (<b>A</b>). Firm surface standing with eyes open. (<b>B</b>). Firm surface standing with eyes closed. (<b>C</b>). Foam surface standing. (<b>D</b>). Foam surface standing with eyes closed. (<b>E</b>). Left foot standing with eyes open. (<b>F</b>). Left foot standing with eyes closed. (<b>G</b>). Right foot standing with eyes open. (<b>H</b>). Right foot standing with eyes closed.</p>
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<p>The impact of a four-week TOGU training program on FMS scores. (<b>A</b>). Total FMS score and differential analysis. (<b>B</b>). Deep squat score and differential analysis. (<b>C</b>). Trunk stability push-up score and differential analysis. (<b>D</b>). In-line lunge score and differential analysis. (<b>E</b>). Shoulder mobility score and differential analysis. (<b>F</b>). Active straight-leg raises score and differential analysis. (<b>G</b>). Hurdle step score and differential analysis. (<b>H</b>). Rotary stability score and differential analysis. Bar charts show the mean scores before and after the training program. Error bars represent standard error. * Indicates <span class="html-italic">p</span> &lt; 0.05, *** indicates <span class="html-italic">p</span> &lt; 0.001, as determined by two-way ANOVA. Significant differences are marked with asterisks above the connecting lines.</p>
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<p>The effect of a four-week TOGU training regimen on core strength, balance ability, and golf swing performance. (<b>A</b>). mCTSIB eyes open differential analysis. (<b>B</b>). mCTSIB eyes close differential analysis. (<b>C</b>). UST eyes open differential analysis. (<b>D</b>). UST eyes close differential analysis. (<b>E</b>). Club head speed differential analysis. (<b>F</b>). Driving distance differential analysis. (<b>G</b>). Ball speed differential analysis. (<b>H</b>). Hitting efficiency differential analysis. Hitting efficiency is the ratio of ball speed to club head speed. Bar charts show the mean performance before and after the training program. Error bars represent standard error. * Indicates <span class="html-italic">p</span> &lt; 0.05, ** indicates <span class="html-italic">p</span> &lt; 0.01, *** indicates <span class="html-italic">p</span> &lt; 0.001, and **** indicates <span class="html-italic">p</span> &lt; 0.0001, as determined by two-way ANOVA. Significant differences are marked with asterisks above the connecting lines.</p>
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15 pages, 3280 KiB  
Article
Spatial and Temporal Analysis of Surface Displacements for Tailings Storage Facility Stability Assessment
by Wioletta Koperska, Paweł Stefaniak, Maria Stachowiak, Sergii Anufriiev, Ioannis Kakogiannos and Francisco Hernández-Ramírez
Appl. Sci. 2024, 14(22), 10715; https://doi.org/10.3390/app142210715 - 19 Nov 2024
Abstract
Monitoring the stability of tailings storage facilities (TSFs) is extremely important due to the catastrophic consequences of instability, which pose a threat to both the environment and human life. For this reason, numerous laboratory and field tests are carried out around dams. An [...] Read more.
Monitoring the stability of tailings storage facilities (TSFs) is extremely important due to the catastrophic consequences of instability, which pose a threat to both the environment and human life. For this reason, numerous laboratory and field tests are carried out around dams. An extensive database is collected as part of monitoring and field research. The in-depth analysis of available data can help monitor stability and predict disaster hazards. One of the important factors is displacement, including surface displacements—recorded by benchmarks as well as underground displacements—recorded by inclinometers. In this work, methods were developed to help assess the stability of the TSF in terms of surface and underground displacement based on the simulated data from geodetic benchmarks. The context of spatial correlation was investigated using hot spot analysis, which shows areas of greater risk, indicating the places of correlation of large and small displacements. The analysis of displacements versus time allowed us to indicate the growing exponential trend, thanks to which it is possible to forecast the trend of future displacements, as well as their velocity and acceleration, with the coefficient of determination of the trend matching reaching even 0.97. Additionally, the use of a geographically weighted regression model was proposed to predict the risk of shear relative to surface displacements. Full article
(This article belongs to the Special Issue Automation and Digitization in Industry: Advances and Applications)
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<p>Countries with the highest number of TSF dam failures (in the period 1915–2019).</p>
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<p>Sample Moran scatterplot.</p>
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<p>Moran scatterplot for displacement velocity (<b>a</b>) and displacement acceleration (<b>b</b>).</p>
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<p>Hot spot analysis result for velocity and acceleration of displacement for two sample simulations.</p>
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<p>Relationship between surface displacements and shear displacements for all measurement points.</p>
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<p>Relationship between surface displacements and shear displacements for the three selected locations.</p>
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<p>Shear risk at individual measuring points in three years.</p>
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<p>Trend prediction for total displacement and derivatives: velocity and acceleration for two selected (<b>a</b>,<b>b</b>) benchmarks.</p>
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18 pages, 3428 KiB  
Article
Impact of Wind-Assisted Propulsion on Fuel Savings and Propeller Efficiency: A Case Study
by Ante Čalić, Zdeslav Jurić and Marko Katalinić
J. Mar. Sci. Eng. 2024, 12(11), 2100; https://doi.org/10.3390/jmse12112100 - 19 Nov 2024
Abstract
In order to meet current and future efforts to reduce fuel consumption and gas emissions, an increasing number of ships are being retrofitted with one of the wind-assisted propulsion solutions. In this paper, the effects of retrofitted wind-assisted propulsion on the efficiency of [...] Read more.
In order to meet current and future efforts to reduce fuel consumption and gas emissions, an increasing number of ships are being retrofitted with one of the wind-assisted propulsion solutions. In this paper, the effects of retrofitted wind-assisted propulsion on the efficiency of the propeller are investigated. The installed ship propeller is usually designed to operate under specific conditions; once the thrust force from the sails is added, the operating point of the propeller changes. Taking into consideration the reduced efficiency of the propeller, which is no longer operating in its optimal regime, the actual wind-assisted propulsion contribution can be calculated. The wind-assisted contribution is calculated with a velocity prediction program as a reduction in conventional propulsion power output by maintaining the vessel’s designed speed. From the calculated variations in sail thrust force, dependent on the wind speed, the propeller efficiency is analyzed for different operating states. The propulsion efficiency of the propeller was analyzed with a performance characteristics calculation tool that has been developed and presented in this paper. From the meteorological data obtained from Copernicus Marine Services and available ship documentation, a case study was conducted for a selected route. Full article
(This article belongs to the Special Issue Green Shipping Corridors and GHG Emissions)
30 pages, 8578 KiB  
Article
Around-Body Versus On-Body Motion Sensing: A Comparison of Efficacy Across a Range of Body Movements and Scales
by Katelyn Rohrer, Luis De Anda, Camila Grubb, Zachary Hansen, Jordan Rodriguez, Greyson St Pierre, Sara Sheikhlary, Suleyman Omer, Binh Tran, Mehrail Lawendy, Farah Alqaraghuli, Chris Hedgecoke, Youssif Abdelkeder, Rebecca C. Slepian, Ethan Ross, Ryan Chung and Marvin J. Slepian
Bioengineering 2024, 11(11), 1163; https://doi.org/10.3390/bioengineering11111163 - 19 Nov 2024
Abstract
Motion is vital for life. Currently, the clinical assessment of motion abnormalities is largely qualitative. We previously developed methods to quantitatively assess motion using visual detection systems (around-body) and stretchable electronic sensors (on-body). Here we compare the efficacy of these methods across predefined [...] Read more.
Motion is vital for life. Currently, the clinical assessment of motion abnormalities is largely qualitative. We previously developed methods to quantitatively assess motion using visual detection systems (around-body) and stretchable electronic sensors (on-body). Here we compare the efficacy of these methods across predefined motions, hypothesizing that the around-body system detects motion with similar accuracy as on-body sensors. Six human volunteers performed six defined motions covering three excursion lengths, small, medium, and large, which were analyzed via both around-body visual marker detection (MoCa version 1.0) and on-body stretchable electronic sensors (BioStamp version 1.0). Data from each system was compared as to the extent of trackability and comparative efficacy between systems. Both systems successfully detected motions, allowing quantitative analysis. Angular displacement between systems had the highest agreement efficiency for the bicep curl and body lean motion, with 73.24% and 65.35%, respectively. The finger pinch motion had an agreement efficiency of 36.71% and chest abduction/adduction had 45.55%. Shoulder abduction/adduction and shoulder flexion/extension motions had the lowest agreement efficiencies with 24.49% and 26.28%, respectively. MoCa was comparable to BioStamp in terms of angular displacement, though velocity and linear speed output could benefit from additional processing. Our findings demonstrate comparable efficacy for non-contact motion detection to that of on-body sensor detection, and offers insight as to the best system selection for specific clinical uses based on the use-case of the desired motion being analyzed. Full article
(This article belongs to the Special Issue Biomechanics and Motion Analysis)
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Figure 1
<p>Outlined steps for recording the runs for both MoCa and BioStamp. The procedure covers the setting up of the area for recording the data transformation into graphs.</p>
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<p>Locations of MoCa markers per six predefined motions: (<b>a</b>) finger pinch movement, (<b>b</b>) bicep curl movement, (<b>c</b>) chest abduction/adduction movement, (<b>d</b>) shoulder abduction/adduction movement, (<b>e</b>) shoulder flexion/extension movement, and (<b>f</b>) body lean movement. Sequential images outline the complete movement excursion per motion with variously colored MoCa markers indicating marker positions.</p>
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<p>Location of BioStamp placement per motion categorized by excursion length (small, medium, and large). Small movements require two stamps: (<b>a</b>) index finger and (<b>b</b>) thumb. Medium movements require three stamps placed on (<b>c</b>) biceps, (<b>d</b>) brachioradialis, and (<b>e</b>) distal anterior forearm. Large movements require the most stamps with stamps placed on the (<b>f</b>) medial deltoid, (<b>g</b>) the cervical spine, (<b>h</b>) mid-thoracic spine, (<b>i</b>) triceps, and (<b>j</b>) biceps femoris.</p>
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<p>Complete data conversion process, from raw MoCa data to the final endpoint variables, subplots (<b>a–d</b>) representing data from the same trial. (<b>a</b>) Positional tracking of individual MoCa markers on the hand, elbow, and shoulder. (<b>b</b>) Angular displacement calculated by applying the cosine function to the angles formed by the markers. (<b>c</b>) Angular velocity derived from the original angles. (<b>d</b>) Linear speed calculated from positional data.</p>
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<p>Full data conversion steps from obtaining raw BioStamp data into the final endpoint variables subplots (<b>a</b>–<b>d</b>) are from the same trial. (<b>a</b>) Marker tracking collected along the X, Y, and Z axes in pixels. (<b>b</b>) Angular displacement obtained through further integration. (<b>c</b>) Angular velocity integrated from BioStamp’s output acceleration data. (<b>d</b>) Linear speed obtained from acceleration output using 3-dimensional Pythagorean theorem.</p>
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<p>MoCa−captured angular displacement for all six motions: (<b>a</b>) finger pinch, (<b>b</b>) bicep curl, (<b>c</b>) chest abduction/adduction, (<b>d</b>) shoulder flexion/extension, (<b>e</b>) shoulder abduction/adduction, and (<b>f</b>) body lean.</p>
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<p>BioStamp−captured angular displacement for all six motions: (<b>a</b>) finger pinch, (<b>b</b>) bicep curl, (<b>c</b>) chest abduction/adduction, (<b>d</b>) shoulder flexion/extension, (<b>e</b>) shoulder abduction/adduction, and (<b>f</b>) body lean.</p>
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<p>Average maximum angular displacement per motion categorized by motion size: (<b>a</b>) small, (<b>b</b>) medium, and (<b>c</b>) large. MoCa (blue) and BioStamp (orange) are compared side by side.</p>
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<p>Bland−Altman plots of angular displacement between MoCa and BioStamp per motion categorized by motion size: small, medium, and large. (<b>a</b>) Bland−Altman plot of finger pinch movement. (<b>b</b>) Bland−Altman plot of bicep curl movement. (<b>c</b>) Bland−Altman plot of chest abduction/adduction movement. (<b>d</b>) Bland−Altman plot of shoulder flexion/extension movement. (<b>e</b>) Bland−Altman plot of shoulder abduction/adduction movement. (<b>f</b>) Bland−Altman plot of body lean movement.</p>
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<p>Bland−Altman plots of angular velocity between MoCa and BioStamp per motion categorized by motion size: small, medium, and large. (<b>a</b>) Bland−Altman plot of finger pinch movement with the 5% percentile of differences denoted by the red line, and the 95% percentile of differences denoted by green line. (<b>b</b>) Bland−Altman plot of bicep curl movement with the 5% percentile of differences denoted by the red line, and the 95% percentile of differences denoted by green line. (<b>c</b>) Bland−Altman plot of chest abduction/adduction movement, with the linear regression shown in red, the lower limit of agreement in yellow, and the upper limit of agreement in green. (<b>d</b>) Bland−Altman plot of shoulder flexion/extension movement, with the linear regression shown in red, the lower limit of agreement in yellow, and the upper limit of agreement in green. (<b>e</b>) Bland–Altman plot of shoulder abduction/adduction movement. (<b>f</b>) Bland−Altman plot of body lean movement, with the linear regression shown in red, the lower limit of agreement in yellow, and the upper limit of agreement in green.</p>
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<p>Bland−Altman plots of between MoCa and BioStamp per motion categorized by motion size: small, medium, and large. Blue points indicate single measurement pairs between MoCa and BioStamp. The red line indicates the linear regression, with the lower limit of agreement in yellow, and the upper limit of agreement in green. (<b>a</b>) Bland–Altman plot of the finger pinch movement. (<b>b</b>) Bland–Altman plot of the bicep curl movement. (<b>c</b>) Bland–Altman plot of the chest abduction/adduction movement. (<b>d</b>) Bland–Altman plot of the shoulder flexion/extension movement. (<b>e</b>) Bland–Altman plot of the shoulder abduction/adduction movement (<b>f</b>) Bland–Altman plot of the body lean movement.</p>
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<p>Agreement efficiency (%) for each motion, grouped by motion size categories, small, medium, and large.</p>
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<p>Bland−Altman plot between MoCa and BioStamp across endpoint variables. (<b>a</b>) Bland–Altman plot of angular displacement values. (<b>b</b>) Bland−Altman plot of linear speed values. (<b>c</b>) Bland–Altman plot of angular velocity values.</p>
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<p>(<b>a</b>) Pearson correlation coefficients for angular displacement between MoCa and BioStamp across all predefined motions. (<b>b</b>) Pearson correlation coefficients for angular velocity between MoCa and BioStamp across all motions. (<b>c</b>) Pearson correlation coefficients for linear speed between MoCa and BioStamp across all motions. (<b>d</b>) Average Pearson correlation coefficients for MoCa versus BioStamp across three metrics: angular displacement, angular velocity, and linear speed.</p>
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<p>Comparison between slow (orange) and fast (teal) runs. (<b>A</b>) Average angular displacement comparison. (<b>B</b>) Average angular velocity comparison. (<b>C</b>) Average linear speed comparison. (<b>D</b>) Pearson correlation coefficients for angular displacement, angular velocity, and linear speed.</p>
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18 pages, 3240 KiB  
Article
Study on the Hydrodynamic Effects of Bridge Piers Under Velocity-Type Pulse Ground Motion Based on Different Characteristic Periods
by Gaojie Yun and Chunguang Liu
Appl. Sci. 2024, 14(22), 10709; https://doi.org/10.3390/app142210709 - 19 Nov 2024
Abstract
This study was based on a target spectrum (GB183062015) and synthesized different characteristic periods, pulse ground motions, and non-pulse ground motions utilizing EQsignal v1.2.1 software. It also investigated the dynamic behaviors of bridge piers in seismic motions with varying characteristic periods, pulse and [...] Read more.
This study was based on a target spectrum (GB183062015) and synthesized different characteristic periods, pulse ground motions, and non-pulse ground motions utilizing EQsignal v1.2.1 software. It also investigated the dynamic behaviors of bridge piers in seismic motions with varying characteristic periods, pulse and non-pulse effects, and the influence of 0 m and 10 m water depths. The findings indicated that the peak acceleration and stress behaviors vary significantly under different characteristic periods of ground motion. The maximum error in peak acceleration behavior of a bridge pier under ground motions of varying characteristic periods is 19.25%, while the maximum error in peak stress response is 11.35%. The acceleration and stress behaviors of a bridge pier under pulse ground motion action are more considerable than those under non-pulse seismic motion action. When the characteristic period is 0.40 s, the maximum error in peak acceleration of the bridge pier structure under pulse seismic motion and non-pulse seismic motion action is 86.08%, with the maximum error of the peak stress reaches 80.68%. The existence of water serves to minimize the natural frequency of the bridge pier. The pulse effects result in a maximum error of 40.49% for the peak acceleration and a maximum discrepancy of 323.08% for the peak stress of the bridge pier. The hydrodynamic effects result in a maximum error of 33.51% for the acceleration peak and 12.90% for the stress peak of the bridge pier. The effect of the pulse symptoms on the dynamic behavior of the bridge pier is considerably more pronounced than that of the hydrodynamic effects, with an intricate and complex influencing mechanism. In bridge flood protection and seismic design and optimization, it is essential to consider the impact of pulse seismic motion with varying characteristic periods. Full article
(This article belongs to the Section Civil Engineering)
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Figure 1
<p>Pier–water finite element model.</p>
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<p>Acceleration time histories of non-pulse and pulse ground motions with different characteristic periods.</p>
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<p>Acceleration response spectrum curves of non-pulse and pulse seismic waves with different characteristic periods.</p>
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<p>The acceleration and stress time histories of bridge piers with different characteristic periods in an anhydrous environment.</p>
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<p>Acceleration and stress time histories of bridge piers under different characteristic periods of pulse earthquake and non-pulse earthquake motions.</p>
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<p>The acceleration and stress frequency domain curves of bridge piers under different characteristic periods of pulse earthquake and non-pulse earthquake motions.</p>
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<p>The acceleration and stress frequency domain curves of bridge piers under different characteristic periods of pulse earthquake and non-pulse earthquake motions.</p>
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<p>Acceleration and stress time histories of different water levels under non-pulse ground motion.</p>
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<p>Acceleration and stress time histories of different water levels under pulse ground motion.</p>
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<p>Peak acceleration trend diagram of different water levels under non-pulse ground motion.</p>
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<p>Peak stress trend diagram of different water levels under non-pulse ground motion.</p>
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<p>Peak acceleration trend diagram of different water levels under pulse ground motions.</p>
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<p>Peak stress trend diagram of different water levels under pulse ground motions.</p>
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<p>Acceleration pulse effect trend diagram of different water levels.</p>
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<p>Stress pulse effect trend diagram of different water levels.</p>
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11 pages, 4326 KiB  
Article
Simulation of Small-Break Loss-of-Coolant Accident Using the RELAP5 Code with an Improved Wall Drag Partition Model for Bubbly Flow
by Young Hwan Lee, Nam Kyu Ryu and Byoung Jae Kim
Energies 2024, 17(22), 5777; https://doi.org/10.3390/en17225777 - 19 Nov 2024
Abstract
The RELAP5 code is a computational tool designed for transient simulations of light water reactor coolant systems under hypothesized accident conditions. The original wall drag partition model in the RELAP5 code has a problem in that the bubble velocity is predicted to be [...] Read more.
The RELAP5 code is a computational tool designed for transient simulations of light water reactor coolant systems under hypothesized accident conditions. The original wall drag partition model in the RELAP5 code has a problem in that the bubble velocity is predicted to be faster than the water velocity in the fully developed flow in a constant-area channel. The wall drag partition model, based on the wetted perimeter concept, proves insufficient for accurately modeling bubbly flows. In this study, the wall drag partition model was modified to account for the physical motion of fluid particles. After that, the modified RELAP5 code was applied to predict the SBLOCA of a full-scale nuclear power plant. Considering the SBLOCA scenario, the behavior change in the loop seal clearing phenomenon was clearly shown in the analysis by the model change. Upon the termination of natural circulation, the loop seals were cleared, allowing the steam trapped within the system to discharge through the break. The modified model was confirmed to have an impact at this time. It mainly affected the timing and shape of the loop seal clearing and delayed the overall progress of the accident. It was observed that the flow rate of the bubbly phase decreased as the modified model accounted for wall friction during dispersed flow in the horizontal section, impacting the two-phase flow behavior at the conclusion of the natural circulation phase. Full article
(This article belongs to the Section B4: Nuclear Energy)
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<p>Nodding diagram of the horizontal channel.</p>
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<p>Water and bubble velocities when the original wall drag model was used.</p>
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<p>Water and bubble velocities when the modified wall drag model was used.</p>
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<p>Schematic of APR1400.</p>
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<p>Reactor pressure.</p>
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<p>Break flow.</p>
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<p>Core inlet flow.</p>
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<p>Collapsed water level in the core.</p>
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<p>Loop seal steam flow rate—original.</p>
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<p>Loop seal steam flow rate—modified.</p>
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<p>Peak cladding temperature.</p>
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19 pages, 3963 KiB  
Article
Application of the Integral Energy Criterion and Neural Network Model for Helicopter Turboshaft Engines’ Vibration Characteristics Analysis
by Serhii Vladov, Maryna Bulakh, Denys Baranovskyi, Eduard Kisiliuk, Victoria Vysotska, Maksym Romanov and Jan Czyżewski
Energies 2024, 17(22), 5776; https://doi.org/10.3390/en17225776 - 19 Nov 2024
Abstract
This article presents a vibration signal analysis method to diagnose helicopter turboshaft engine defects such as bearing imbalance and wear. The scientific novelty of the article lies in the development of a comprehensive approach to diagnosing helicopter turboshaft engine defects based on the [...] Read more.
This article presents a vibration signal analysis method to diagnose helicopter turboshaft engine defects such as bearing imbalance and wear. The scientific novelty of the article lies in the development of a comprehensive approach to diagnosing helicopter turboshaft engine defects based on the vibration signals amplitude and frequency characteristics integral analysis combined with a neural network for probabilistic defect detection. Unlike existing methods, the proposed approach uses the energy criterion for the vibration characteristics. It averages the assessment of unique signal processing algorithms, which ensures reliable defect classification under flight vibration conditions. The method is based on representing vibration signals as a sum of harmonic oscillations supplemented by noise components, which helps to identify deviations from typical values. The developed method includes a state function in which the amplitudes and frequency characteristics from nominal parameters estimate deviations. When the critical threshold is exceeded, the function signals possible malfunctions. A multilayer neural network is used to classify defect types, providing high classification accuracy (from 0.985 to 0.994). Computer experiments on the developed seminaturalistic modeling stand confirm that the method can detect increased vibration levels, which is the potential failure indicator. Comparative analysis shows the proposed method’s accuracy and noise resistance superiority, emphasizing the importance of introducing modern technologies to improve aircraft operation reliability and safety. Full article
(This article belongs to the Section I2: Energy and Combustion Science)
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Figure 1
<p>Structural diagram of the proposed neural network for the helicopter TE defects diagnostics based on the developed method.</p>
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<p>Diagrams of the TV3-117 engines’ vibration velocity signalgrams obtained as a result of the Mi-8MTV helicopter flight: (<b>a</b>) Flight No. 1: <math display="inline"><semantics> <mrow> <msubsup> <mrow> <mi>V</mi> </mrow> <mrow> <mi>v</mi> <mi>i</mi> <mi>b</mi> <mi>r</mi> <mi>a</mi> <mi>t</mi> <mi>i</mi> <mi>o</mi> <mi>n</mi> <mo>_</mo> <mi mathvariant="normal">m</mi> <mi mathvariant="normal">a</mi> <mi mathvariant="normal">x</mi> </mrow> <mrow> <mi>l</mi> <mi>e</mi> <mi>f</mi> <mi>t</mi> <mo> </mo> <mi>e</mi> <mi>n</mi> <mi>g</mi> <mi>i</mi> <mi>n</mi> <mi>e</mi> </mrow> </msubsup> <mo>=</mo> <mn>20</mn> <mo> </mo> <mi mathvariant="normal">m</mi> <mi mathvariant="normal">m</mi> <mo>/</mo> <mi mathvariant="normal">s</mi> </mrow> </semantics></math>, <math display="inline"><semantics> <mrow> <msubsup> <mrow> <mi>V</mi> </mrow> <mrow> <mi>v</mi> <mi>i</mi> <mi>b</mi> <mi>r</mi> <mi>a</mi> <mi>t</mi> <mi>i</mi> <mi>o</mi> <mi>n</mi> <mo>_</mo> <mi mathvariant="normal">m</mi> <mi mathvariant="normal">a</mi> <mi mathvariant="normal">x</mi> </mrow> <mrow> <mi>r</mi> <mi>i</mi> <mi>g</mi> <mi>h</mi> <mi>t</mi> <mo> </mo> <mi>e</mi> <mi>n</mi> <mi>g</mi> <mi>i</mi> <mi>n</mi> <mi>e</mi> </mrow> </msubsup> <mo>=</mo> <mn>35</mn> <mo> </mo> <mi mathvariant="normal">m</mi> <mi mathvariant="normal">m</mi> <mo>/</mo> <mi mathvariant="normal">s</mi> </mrow> </semantics></math>. (<b>b</b>) Flight No. 2: <math display="inline"><semantics> <mrow> <msubsup> <mrow> <mi>V</mi> </mrow> <mrow> <mi>v</mi> <mi>i</mi> <mi>b</mi> <mi>r</mi> <mi>a</mi> <mi>t</mi> <mi>i</mi> <mi>o</mi> <mi>n</mi> <mo>_</mo> <mi mathvariant="normal">m</mi> <mi mathvariant="normal">a</mi> <mi mathvariant="normal">x</mi> </mrow> <mrow> <mi>l</mi> <mi>e</mi> <mi>f</mi> <mi>t</mi> <mo> </mo> <mi>e</mi> <mi>n</mi> <mi>g</mi> <mi>i</mi> <mi>n</mi> <mi>e</mi> </mrow> </msubsup> <mo>=</mo> <mn>10</mn> <mo> </mo> <mi mathvariant="normal">m</mi> <mi mathvariant="normal">m</mi> <mo>/</mo> <mi mathvariant="normal">s</mi> </mrow> </semantics></math>, <math display="inline"><semantics> <mrow> <msubsup> <mrow> <mi>V</mi> </mrow> <mrow> <mi>v</mi> <mi>i</mi> <mi>b</mi> <mi>r</mi> <mi>a</mi> <mi>t</mi> <mi>i</mi> <mi>o</mi> <mi>n</mi> <mo>_</mo> <mi mathvariant="normal">m</mi> <mi mathvariant="normal">a</mi> <mi mathvariant="normal">x</mi> </mrow> <mrow> <mi>r</mi> <mi>i</mi> <mi>g</mi> <mi>h</mi> <mi>t</mi> <mo> </mo> <mi>e</mi> <mi>n</mi> <mi>g</mi> <mi>i</mi> <mi>n</mi> <mi>e</mi> </mrow> </msubsup> <mo>=</mo> <mn>22</mn> <mo> </mo> <mi mathvariant="normal">m</mi> <mi mathvariant="normal">m</mi> <mo>/</mo> <mi mathvariant="normal">s</mi> </mrow> </semantics></math>. (<b>c</b>) Flight No. 3: <math display="inline"><semantics> <mrow> <msubsup> <mrow> <mi>V</mi> </mrow> <mrow> <mi>v</mi> <mi>i</mi> <mi>b</mi> <mi>r</mi> <mi>a</mi> <mi>t</mi> <mi>i</mi> <mi>o</mi> <mi>n</mi> <mo>_</mo> <mi mathvariant="normal">m</mi> <mi mathvariant="normal">a</mi> <mi mathvariant="normal">x</mi> </mrow> <mrow> <mi>l</mi> <mi>e</mi> <mi>f</mi> <mi>t</mi> <mo> </mo> <mi>e</mi> <mi>n</mi> <mi>g</mi> <mi>i</mi> <mi>n</mi> <mi>e</mi> </mrow> </msubsup> <mo>=</mo> <mn>17</mn> <mo> </mo> <mi mathvariant="normal">m</mi> <mi mathvariant="normal">m</mi> <mo>/</mo> <mi mathvariant="normal">s</mi> </mrow> </semantics></math>, <math display="inline"><semantics> <mrow> <msubsup> <mrow> <mi>V</mi> </mrow> <mrow> <mi>v</mi> <mi>i</mi> <mi>b</mi> <mi>r</mi> <mi>a</mi> <mi>t</mi> <mi>i</mi> <mi>o</mi> <mi>n</mi> <mo>_</mo> <mi mathvariant="normal">m</mi> <mi mathvariant="normal">a</mi> <mi mathvariant="normal">x</mi> </mrow> <mrow> <mi>r</mi> <mi>i</mi> <mi>g</mi> <mi>h</mi> <mi>t</mi> <mo> </mo> <mi>e</mi> <mi>n</mi> <mi>g</mi> <mi>i</mi> <mi>n</mi> <mi>e</mi> </mrow> </msubsup> <mo>=</mo> <mn>60</mn> <mo> </mo> <mi mathvariant="normal">m</mi> <mi mathvariant="normal">m</mi> <mo>/</mo> <mi mathvariant="normal">s</mi> </mrow> </semantics></math>. (<b>d</b>) Flight No. 4: <math display="inline"><semantics> <mrow> <msubsup> <mrow> <mi>V</mi> </mrow> <mrow> <mi>v</mi> <mi>i</mi> <mi>b</mi> <mi>r</mi> <mi>a</mi> <mi>t</mi> <mi>i</mi> <mi>o</mi> <mi>n</mi> <mo>_</mo> <mi mathvariant="normal">m</mi> <mi mathvariant="normal">a</mi> <mi mathvariant="normal">x</mi> </mrow> <mrow> <mi>l</mi> <mi>e</mi> <mi>f</mi> <mi>t</mi> <mo> </mo> <mi>e</mi> <mi>n</mi> <mi>g</mi> <mi>i</mi> <mi>n</mi> <mi>e</mi> </mrow> </msubsup> <mo>=</mo> <mn>33</mn> <mo> </mo> <mi mathvariant="normal">m</mi> <mi mathvariant="normal">m</mi> <mo>/</mo> <mi mathvariant="normal">s</mi> </mrow> </semantics></math>, <math display="inline"><semantics> <mrow> <msubsup> <mrow> <mi>V</mi> </mrow> <mrow> <mi>v</mi> <mi>i</mi> <mi>b</mi> <mi>r</mi> <mi>a</mi> <mi>t</mi> <mi>i</mi> <mi>o</mi> <mi>n</mi> <mo>_</mo> <mi mathvariant="normal">m</mi> <mi mathvariant="normal">a</mi> <mi mathvariant="normal">x</mi> </mrow> <mrow> <mi>r</mi> <mi>i</mi> <mi>g</mi> <mi>h</mi> <mi>t</mi> <mo> </mo> <mi>e</mi> <mi>n</mi> <mi>g</mi> <mi>i</mi> <mi>n</mi> <mi>e</mi> </mrow> </msubsup> <mo>=</mo> <mn>21</mn> <mo> </mo> <mi mathvariant="normal">m</mi> <mi mathvariant="normal">m</mi> <mo>/</mo> <mi mathvariant="normal">s</mi> </mrow> </semantics></math>. (<b>e</b>) Flight No. 5: <math display="inline"><semantics> <mrow> <msubsup> <mrow> <mi>V</mi> </mrow> <mrow> <mi>v</mi> <mi>i</mi> <mi>b</mi> <mi>r</mi> <mi>a</mi> <mi>t</mi> <mi>i</mi> <mi>o</mi> <mi>n</mi> <mo>_</mo> <mi mathvariant="normal">m</mi> <mi mathvariant="normal">a</mi> <mi mathvariant="normal">x</mi> </mrow> <mrow> <mi>l</mi> <mi>e</mi> <mi>f</mi> <mi>t</mi> <mo> </mo> <mi>e</mi> <mi>n</mi> <mi>g</mi> <mi>i</mi> <mi>n</mi> <mi>e</mi> </mrow> </msubsup> <mo>=</mo> <mn>28</mn> <mo> </mo> <mi mathvariant="normal">m</mi> <mi mathvariant="normal">m</mi> <mo>/</mo> <mi mathvariant="normal">s</mi> </mrow> </semantics></math>, <math display="inline"><semantics> <mrow> <msubsup> <mrow> <mi>V</mi> </mrow> <mrow> <mi>v</mi> <mi>i</mi> <mi>b</mi> <mi>r</mi> <mi>a</mi> <mi>t</mi> <mi>i</mi> <mi>o</mi> <mi>n</mi> <mo>_</mo> <mi mathvariant="normal">m</mi> <mi mathvariant="normal">a</mi> <mi mathvariant="normal">x</mi> </mrow> <mrow> <mi>r</mi> <mi>i</mi> <mi>g</mi> <mi>h</mi> <mi>t</mi> <mo> </mo> <mi>e</mi> <mi>n</mi> <mi>g</mi> <mi>i</mi> <mi>n</mi> <mi>e</mi> </mrow> </msubsup> <mo>=</mo> <mn>15</mn> <mo> </mo> <mi mathvariant="normal">m</mi> <mi mathvariant="normal">m</mi> <mo>/</mo> <mi mathvariant="normal">s</mi> </mrow> </semantics></math>. (<b>f</b>) Flight No. 6: <math display="inline"><semantics> <mrow> <msubsup> <mrow> <mi>V</mi> </mrow> <mrow> <mi>v</mi> <mi>i</mi> <mi>b</mi> <mi>r</mi> <mi>a</mi> <mi>t</mi> <mi>i</mi> <mi>o</mi> <mi>n</mi> <mo>_</mo> <mi mathvariant="normal">m</mi> <mi mathvariant="normal">a</mi> <mi mathvariant="normal">x</mi> </mrow> <mrow> <mi>l</mi> <mi>e</mi> <mi>f</mi> <mi>t</mi> <mo> </mo> <mi>e</mi> <mi>n</mi> <mi>g</mi> <mi>i</mi> <mi>n</mi> <mi>e</mi> </mrow> </msubsup> <mo>=</mo> <mn>9</mn> <mo> </mo> <mi mathvariant="normal">m</mi> <mi mathvariant="normal">m</mi> <mo>/</mo> <mi mathvariant="normal">s</mi> </mrow> </semantics></math>, <math display="inline"><semantics> <mrow> <msubsup> <mrow> <mi>V</mi> </mrow> <mrow> <mi>v</mi> <mi>i</mi> <mi>b</mi> <mi>r</mi> <mi>a</mi> <mi>t</mi> <mi>i</mi> <mi>o</mi> <mi>n</mi> <mo>_</mo> <mi mathvariant="normal">m</mi> <mi mathvariant="normal">a</mi> <mi mathvariant="normal">x</mi> </mrow> <mrow> <mi>r</mi> <mi>i</mi> <mi>g</mi> <mi>h</mi> <mi>t</mi> <mo> </mo> <mi>e</mi> <mi>n</mi> <mi>g</mi> <mi>i</mi> <mi>n</mi> <mi>e</mi> </mrow> </msubsup> <mo>=</mo> <mn>16</mn> <mo> </mo> <mi mathvariant="normal">m</mi> <mi mathvariant="normal">m</mi> <mo>/</mo> <mi mathvariant="normal">s</mi> </mrow> </semantics></math>. (<b>g</b>) Flight No. 7: <math display="inline"><semantics> <mrow> <msubsup> <mrow> <mi>V</mi> </mrow> <mrow> <mi>v</mi> <mi>i</mi> <mi>b</mi> <mi>r</mi> <mi>a</mi> <mi>t</mi> <mi>i</mi> <mi>o</mi> <mi>n</mi> <mo>_</mo> <mi mathvariant="normal">m</mi> <mi mathvariant="normal">a</mi> <mi mathvariant="normal">x</mi> </mrow> <mrow> <mi>l</mi> <mi>e</mi> <mi>f</mi> <mi>t</mi> <mo> </mo> <mi>e</mi> <mi>n</mi> <mi>g</mi> <mi>i</mi> <mi>n</mi> <mi>e</mi> </mrow> </msubsup> <mo>=</mo> <mn>29</mn> <mo> </mo> <mi mathvariant="normal">m</mi> <mi mathvariant="normal">m</mi> <mo>/</mo> <mi mathvariant="normal">s</mi> </mrow> </semantics></math>, <math display="inline"><semantics> <mrow> <msubsup> <mrow> <mi>V</mi> </mrow> <mrow> <mi>v</mi> <mi>i</mi> <mi>b</mi> <mi>r</mi> <mi>a</mi> <mi>t</mi> <mi>i</mi> <mi>o</mi> <mi>n</mi> <mo>_</mo> <mi mathvariant="normal">m</mi> <mi mathvariant="normal">a</mi> <mi mathvariant="normal">x</mi> </mrow> <mrow> <mi>r</mi> <mi>i</mi> <mi>g</mi> <mi>h</mi> <mi>t</mi> <mo> </mo> <mi>e</mi> <mi>n</mi> <mi>g</mi> <mi>i</mi> <mi>n</mi> <mi>e</mi> </mrow> </msubsup> <mo>=</mo> <mn>27</mn> <mo> </mo> <mi mathvariant="normal">m</mi> <mi mathvariant="normal">m</mi> <mo>/</mo> <mi mathvariant="normal">s</mi> </mrow> </semantics></math>. (<b>h</b>) Flight No. 8: <math display="inline"><semantics> <mrow> <msubsup> <mrow> <mi>V</mi> </mrow> <mrow> <mi>v</mi> <mi>i</mi> <mi>b</mi> <mi>r</mi> <mi>a</mi> <mi>t</mi> <mi>i</mi> <mi>o</mi> <mi>n</mi> <mo>_</mo> <mi mathvariant="normal">m</mi> <mi mathvariant="normal">a</mi> <mi mathvariant="normal">x</mi> </mrow> <mrow> <mi>l</mi> <mi>e</mi> <mi>f</mi> <mi>t</mi> <mo> </mo> <mi>e</mi> <mi>n</mi> <mi>g</mi> <mi>i</mi> <mi>n</mi> <mi>e</mi> </mrow> </msubsup> <mo>=</mo> <mn>28</mn> <mo> </mo> <mi mathvariant="normal">m</mi> <mi mathvariant="normal">m</mi> <mo>/</mo> <mi mathvariant="normal">s</mi> </mrow> </semantics></math>, <math display="inline"><semantics> <mrow> <msubsup> <mrow> <mi>V</mi> </mrow> <mrow> <mi>v</mi> <mi>i</mi> <mi>b</mi> <mi>r</mi> <mi>a</mi> <mi>t</mi> <mi>i</mi> <mi>o</mi> <mi>n</mi> <mo>_</mo> <mi mathvariant="normal">m</mi> <mi mathvariant="normal">a</mi> <mi mathvariant="normal">x</mi> </mrow> <mrow> <mi>r</mi> <mi>i</mi> <mi>g</mi> <mi>h</mi> <mi>t</mi> <mo> </mo> <mi>e</mi> <mi>n</mi> <mi>g</mi> <mi>i</mi> <mi>n</mi> <mi>e</mi> </mrow> </msubsup> <mo>=</mo> <mn>25</mn> <mo> </mo> <mi mathvariant="normal">m</mi> <mi mathvariant="normal">m</mi> <mo>/</mo> <mi mathvariant="normal">s</mi> </mrow> </semantics></math>. (<b>i</b>) Flight No. 9: <math display="inline"><semantics> <mrow> <msubsup> <mrow> <mi>V</mi> </mrow> <mrow> <mi>v</mi> <mi>i</mi> <mi>b</mi> <mi>r</mi> <mi>a</mi> <mi>t</mi> <mi>i</mi> <mi>o</mi> <mi>n</mi> <mo>_</mo> <mi mathvariant="normal">m</mi> <mi mathvariant="normal">a</mi> <mi mathvariant="normal">x</mi> </mrow> <mrow> <mi>l</mi> <mi>e</mi> <mi>f</mi> <mi>t</mi> <mo> </mo> <mi>e</mi> <mi>n</mi> <mi>g</mi> <mi>i</mi> <mi>n</mi> <mi>e</mi> </mrow> </msubsup> <mo>=</mo> <mn>22</mn> <mo> </mo> <mi mathvariant="normal">m</mi> <mi mathvariant="normal">m</mi> <mo>/</mo> <mi mathvariant="normal">s</mi> </mrow> </semantics></math>, <math display="inline"><semantics> <mrow> <msubsup> <mrow> <mi>V</mi> </mrow> <mrow> <mi>v</mi> <mi>i</mi> <mi>b</mi> <mi>r</mi> <mi>a</mi> <mi>t</mi> <mi>i</mi> <mi>o</mi> <mi>n</mi> <mo>_</mo> <mi mathvariant="normal">m</mi> <mi mathvariant="normal">a</mi> <mi mathvariant="normal">x</mi> </mrow> <mrow> <mi>r</mi> <mi>i</mi> <mi>g</mi> <mi>h</mi> <mi>t</mi> <mo> </mo> <mi>e</mi> <mi>n</mi> <mi>g</mi> <mi>i</mi> <mi>n</mi> <mi>e</mi> </mrow> </msubsup> <mo>=</mo> <mn>27</mn> <mo> </mo> <mi mathvariant="normal">m</mi> <mi mathvariant="normal">m</mi> <mo>/</mo> <mi mathvariant="normal">s</mi> </mrow> </semantics></math>. (<b>j</b>) Flight No. 10: <math display="inline"><semantics> <mrow> <msubsup> <mrow> <mi>V</mi> </mrow> <mrow> <mi>v</mi> <mi>i</mi> <mi>b</mi> <mi>r</mi> <mi>a</mi> <mi>t</mi> <mi>i</mi> <mi>o</mi> <mi>n</mi> <mo>_</mo> <mi mathvariant="normal">m</mi> <mi mathvariant="normal">a</mi> <mi mathvariant="normal">x</mi> </mrow> <mrow> <mi>l</mi> <mi>e</mi> <mi>f</mi> <mi>t</mi> <mo> </mo> <mi>e</mi> <mi>n</mi> <mi>g</mi> <mi>i</mi> <mi>n</mi> <mi>e</mi> </mrow> </msubsup> <mo>=</mo> <mn>16</mn> <mo> </mo> <mi mathvariant="normal">m</mi> <mi mathvariant="normal">m</mi> <mo>/</mo> <mi mathvariant="normal">s</mi> </mrow> </semantics></math>, <math display="inline"><semantics> <mrow> <msubsup> <mrow> <mi>V</mi> </mrow> <mrow> <mi>v</mi> <mi>i</mi> <mi>b</mi> <mi>r</mi> <mi>a</mi> <mi>t</mi> <mi>i</mi> <mi>o</mi> <mi>n</mi> <mo>_</mo> <mi mathvariant="normal">m</mi> <mi mathvariant="normal">a</mi> <mi mathvariant="normal">x</mi> </mrow> <mrow> <mi>r</mi> <mi>i</mi> <mi>g</mi> <mi>h</mi> <mi>t</mi> <mo> </mo> <mi>e</mi> <mi>n</mi> <mi>g</mi> <mi>i</mi> <mi>n</mi> <mi>e</mi> </mrow> </msubsup> <mo>=</mo> <mn>29</mn> <mo> </mo> <mi mathvariant="normal">m</mi> <mi mathvariant="normal">m</mi> <mo>/</mo> <mi mathvariant="normal">s</mi> </mrow> </semantics></math>.</p>
Full article ">Figure 2 Cont.
<p>Diagrams of the TV3-117 engines’ vibration velocity signalgrams obtained as a result of the Mi-8MTV helicopter flight: (<b>a</b>) Flight No. 1: <math display="inline"><semantics> <mrow> <msubsup> <mrow> <mi>V</mi> </mrow> <mrow> <mi>v</mi> <mi>i</mi> <mi>b</mi> <mi>r</mi> <mi>a</mi> <mi>t</mi> <mi>i</mi> <mi>o</mi> <mi>n</mi> <mo>_</mo> <mi mathvariant="normal">m</mi> <mi mathvariant="normal">a</mi> <mi mathvariant="normal">x</mi> </mrow> <mrow> <mi>l</mi> <mi>e</mi> <mi>f</mi> <mi>t</mi> <mo> </mo> <mi>e</mi> <mi>n</mi> <mi>g</mi> <mi>i</mi> <mi>n</mi> <mi>e</mi> </mrow> </msubsup> <mo>=</mo> <mn>20</mn> <mo> </mo> <mi mathvariant="normal">m</mi> <mi mathvariant="normal">m</mi> <mo>/</mo> <mi mathvariant="normal">s</mi> </mrow> </semantics></math>, <math display="inline"><semantics> <mrow> <msubsup> <mrow> <mi>V</mi> </mrow> <mrow> <mi>v</mi> <mi>i</mi> <mi>b</mi> <mi>r</mi> <mi>a</mi> <mi>t</mi> <mi>i</mi> <mi>o</mi> <mi>n</mi> <mo>_</mo> <mi mathvariant="normal">m</mi> <mi mathvariant="normal">a</mi> <mi mathvariant="normal">x</mi> </mrow> <mrow> <mi>r</mi> <mi>i</mi> <mi>g</mi> <mi>h</mi> <mi>t</mi> <mo> </mo> <mi>e</mi> <mi>n</mi> <mi>g</mi> <mi>i</mi> <mi>n</mi> <mi>e</mi> </mrow> </msubsup> <mo>=</mo> <mn>35</mn> <mo> </mo> <mi mathvariant="normal">m</mi> <mi mathvariant="normal">m</mi> <mo>/</mo> <mi mathvariant="normal">s</mi> </mrow> </semantics></math>. (<b>b</b>) Flight No. 2: <math display="inline"><semantics> <mrow> <msubsup> <mrow> <mi>V</mi> </mrow> <mrow> <mi>v</mi> <mi>i</mi> <mi>b</mi> <mi>r</mi> <mi>a</mi> <mi>t</mi> <mi>i</mi> <mi>o</mi> <mi>n</mi> <mo>_</mo> <mi mathvariant="normal">m</mi> <mi mathvariant="normal">a</mi> <mi mathvariant="normal">x</mi> </mrow> <mrow> <mi>l</mi> <mi>e</mi> <mi>f</mi> <mi>t</mi> <mo> </mo> <mi>e</mi> <mi>n</mi> <mi>g</mi> <mi>i</mi> <mi>n</mi> <mi>e</mi> </mrow> </msubsup> <mo>=</mo> <mn>10</mn> <mo> </mo> <mi mathvariant="normal">m</mi> <mi mathvariant="normal">m</mi> <mo>/</mo> <mi mathvariant="normal">s</mi> </mrow> </semantics></math>, <math display="inline"><semantics> <mrow> <msubsup> <mrow> <mi>V</mi> </mrow> <mrow> <mi>v</mi> <mi>i</mi> <mi>b</mi> <mi>r</mi> <mi>a</mi> <mi>t</mi> <mi>i</mi> <mi>o</mi> <mi>n</mi> <mo>_</mo> <mi mathvariant="normal">m</mi> <mi mathvariant="normal">a</mi> <mi mathvariant="normal">x</mi> </mrow> <mrow> <mi>r</mi> <mi>i</mi> <mi>g</mi> <mi>h</mi> <mi>t</mi> <mo> </mo> <mi>e</mi> <mi>n</mi> <mi>g</mi> <mi>i</mi> <mi>n</mi> <mi>e</mi> </mrow> </msubsup> <mo>=</mo> <mn>22</mn> <mo> </mo> <mi mathvariant="normal">m</mi> <mi mathvariant="normal">m</mi> <mo>/</mo> <mi mathvariant="normal">s</mi> </mrow> </semantics></math>. (<b>c</b>) Flight No. 3: <math display="inline"><semantics> <mrow> <msubsup> <mrow> <mi>V</mi> </mrow> <mrow> <mi>v</mi> <mi>i</mi> <mi>b</mi> <mi>r</mi> <mi>a</mi> <mi>t</mi> <mi>i</mi> <mi>o</mi> <mi>n</mi> <mo>_</mo> <mi mathvariant="normal">m</mi> <mi mathvariant="normal">a</mi> <mi mathvariant="normal">x</mi> </mrow> <mrow> <mi>l</mi> <mi>e</mi> <mi>f</mi> <mi>t</mi> <mo> </mo> <mi>e</mi> <mi>n</mi> <mi>g</mi> <mi>i</mi> <mi>n</mi> <mi>e</mi> </mrow> </msubsup> <mo>=</mo> <mn>17</mn> <mo> </mo> <mi mathvariant="normal">m</mi> <mi mathvariant="normal">m</mi> <mo>/</mo> <mi mathvariant="normal">s</mi> </mrow> </semantics></math>, <math display="inline"><semantics> <mrow> <msubsup> <mrow> <mi>V</mi> </mrow> <mrow> <mi>v</mi> <mi>i</mi> <mi>b</mi> <mi>r</mi> <mi>a</mi> <mi>t</mi> <mi>i</mi> <mi>o</mi> <mi>n</mi> <mo>_</mo> <mi mathvariant="normal">m</mi> <mi mathvariant="normal">a</mi> <mi mathvariant="normal">x</mi> </mrow> <mrow> <mi>r</mi> <mi>i</mi> <mi>g</mi> <mi>h</mi> <mi>t</mi> <mo> </mo> <mi>e</mi> <mi>n</mi> <mi>g</mi> <mi>i</mi> <mi>n</mi> <mi>e</mi> </mrow> </msubsup> <mo>=</mo> <mn>60</mn> <mo> </mo> <mi mathvariant="normal">m</mi> <mi mathvariant="normal">m</mi> <mo>/</mo> <mi mathvariant="normal">s</mi> </mrow> </semantics></math>. (<b>d</b>) Flight No. 4: <math display="inline"><semantics> <mrow> <msubsup> <mrow> <mi>V</mi> </mrow> <mrow> <mi>v</mi> <mi>i</mi> <mi>b</mi> <mi>r</mi> <mi>a</mi> <mi>t</mi> <mi>i</mi> <mi>o</mi> <mi>n</mi> <mo>_</mo> <mi mathvariant="normal">m</mi> <mi mathvariant="normal">a</mi> <mi mathvariant="normal">x</mi> </mrow> <mrow> <mi>l</mi> <mi>e</mi> <mi>f</mi> <mi>t</mi> <mo> </mo> <mi>e</mi> <mi>n</mi> <mi>g</mi> <mi>i</mi> <mi>n</mi> <mi>e</mi> </mrow> </msubsup> <mo>=</mo> <mn>33</mn> <mo> </mo> <mi mathvariant="normal">m</mi> <mi mathvariant="normal">m</mi> <mo>/</mo> <mi mathvariant="normal">s</mi> </mrow> </semantics></math>, <math display="inline"><semantics> <mrow> <msubsup> <mrow> <mi>V</mi> </mrow> <mrow> <mi>v</mi> <mi>i</mi> <mi>b</mi> <mi>r</mi> <mi>a</mi> <mi>t</mi> <mi>i</mi> <mi>o</mi> <mi>n</mi> <mo>_</mo> <mi mathvariant="normal">m</mi> <mi mathvariant="normal">a</mi> <mi mathvariant="normal">x</mi> </mrow> <mrow> <mi>r</mi> <mi>i</mi> <mi>g</mi> <mi>h</mi> <mi>t</mi> <mo> </mo> <mi>e</mi> <mi>n</mi> <mi>g</mi> <mi>i</mi> <mi>n</mi> <mi>e</mi> </mrow> </msubsup> <mo>=</mo> <mn>21</mn> <mo> </mo> <mi mathvariant="normal">m</mi> <mi mathvariant="normal">m</mi> <mo>/</mo> <mi mathvariant="normal">s</mi> </mrow> </semantics></math>. (<b>e</b>) Flight No. 5: <math display="inline"><semantics> <mrow> <msubsup> <mrow> <mi>V</mi> </mrow> <mrow> <mi>v</mi> <mi>i</mi> <mi>b</mi> <mi>r</mi> <mi>a</mi> <mi>t</mi> <mi>i</mi> <mi>o</mi> <mi>n</mi> <mo>_</mo> <mi mathvariant="normal">m</mi> <mi mathvariant="normal">a</mi> <mi mathvariant="normal">x</mi> </mrow> <mrow> <mi>l</mi> <mi>e</mi> <mi>f</mi> <mi>t</mi> <mo> </mo> <mi>e</mi> <mi>n</mi> <mi>g</mi> <mi>i</mi> <mi>n</mi> <mi>e</mi> </mrow> </msubsup> <mo>=</mo> <mn>28</mn> <mo> </mo> <mi mathvariant="normal">m</mi> <mi mathvariant="normal">m</mi> <mo>/</mo> <mi mathvariant="normal">s</mi> </mrow> </semantics></math>, <math display="inline"><semantics> <mrow> <msubsup> <mrow> <mi>V</mi> </mrow> <mrow> <mi>v</mi> <mi>i</mi> <mi>b</mi> <mi>r</mi> <mi>a</mi> <mi>t</mi> <mi>i</mi> <mi>o</mi> <mi>n</mi> <mo>_</mo> <mi mathvariant="normal">m</mi> <mi mathvariant="normal">a</mi> <mi mathvariant="normal">x</mi> </mrow> <mrow> <mi>r</mi> <mi>i</mi> <mi>g</mi> <mi>h</mi> <mi>t</mi> <mo> </mo> <mi>e</mi> <mi>n</mi> <mi>g</mi> <mi>i</mi> <mi>n</mi> <mi>e</mi> </mrow> </msubsup> <mo>=</mo> <mn>15</mn> <mo> </mo> <mi mathvariant="normal">m</mi> <mi mathvariant="normal">m</mi> <mo>/</mo> <mi mathvariant="normal">s</mi> </mrow> </semantics></math>. (<b>f</b>) Flight No. 6: <math display="inline"><semantics> <mrow> <msubsup> <mrow> <mi>V</mi> </mrow> <mrow> <mi>v</mi> <mi>i</mi> <mi>b</mi> <mi>r</mi> <mi>a</mi> <mi>t</mi> <mi>i</mi> <mi>o</mi> <mi>n</mi> <mo>_</mo> <mi mathvariant="normal">m</mi> <mi mathvariant="normal">a</mi> <mi mathvariant="normal">x</mi> </mrow> <mrow> <mi>l</mi> <mi>e</mi> <mi>f</mi> <mi>t</mi> <mo> </mo> <mi>e</mi> <mi>n</mi> <mi>g</mi> <mi>i</mi> <mi>n</mi> <mi>e</mi> </mrow> </msubsup> <mo>=</mo> <mn>9</mn> <mo> </mo> <mi mathvariant="normal">m</mi> <mi mathvariant="normal">m</mi> <mo>/</mo> <mi mathvariant="normal">s</mi> </mrow> </semantics></math>, <math display="inline"><semantics> <mrow> <msubsup> <mrow> <mi>V</mi> </mrow> <mrow> <mi>v</mi> <mi>i</mi> <mi>b</mi> <mi>r</mi> <mi>a</mi> <mi>t</mi> <mi>i</mi> <mi>o</mi> <mi>n</mi> <mo>_</mo> <mi mathvariant="normal">m</mi> <mi mathvariant="normal">a</mi> <mi mathvariant="normal">x</mi> </mrow> <mrow> <mi>r</mi> <mi>i</mi> <mi>g</mi> <mi>h</mi> <mi>t</mi> <mo> </mo> <mi>e</mi> <mi>n</mi> <mi>g</mi> <mi>i</mi> <mi>n</mi> <mi>e</mi> </mrow> </msubsup> <mo>=</mo> <mn>16</mn> <mo> </mo> <mi mathvariant="normal">m</mi> <mi mathvariant="normal">m</mi> <mo>/</mo> <mi mathvariant="normal">s</mi> </mrow> </semantics></math>. (<b>g</b>) Flight No. 7: <math display="inline"><semantics> <mrow> <msubsup> <mrow> <mi>V</mi> </mrow> <mrow> <mi>v</mi> <mi>i</mi> <mi>b</mi> <mi>r</mi> <mi>a</mi> <mi>t</mi> <mi>i</mi> <mi>o</mi> <mi>n</mi> <mo>_</mo> <mi mathvariant="normal">m</mi> <mi mathvariant="normal">a</mi> <mi mathvariant="normal">x</mi> </mrow> <mrow> <mi>l</mi> <mi>e</mi> <mi>f</mi> <mi>t</mi> <mo> </mo> <mi>e</mi> <mi>n</mi> <mi>g</mi> <mi>i</mi> <mi>n</mi> <mi>e</mi> </mrow> </msubsup> <mo>=</mo> <mn>29</mn> <mo> </mo> <mi mathvariant="normal">m</mi> <mi mathvariant="normal">m</mi> <mo>/</mo> <mi mathvariant="normal">s</mi> </mrow> </semantics></math>, <math display="inline"><semantics> <mrow> <msubsup> <mrow> <mi>V</mi> </mrow> <mrow> <mi>v</mi> <mi>i</mi> <mi>b</mi> <mi>r</mi> <mi>a</mi> <mi>t</mi> <mi>i</mi> <mi>o</mi> <mi>n</mi> <mo>_</mo> <mi mathvariant="normal">m</mi> <mi mathvariant="normal">a</mi> <mi mathvariant="normal">x</mi> </mrow> <mrow> <mi>r</mi> <mi>i</mi> <mi>g</mi> <mi>h</mi> <mi>t</mi> <mo> </mo> <mi>e</mi> <mi>n</mi> <mi>g</mi> <mi>i</mi> <mi>n</mi> <mi>e</mi> </mrow> </msubsup> <mo>=</mo> <mn>27</mn> <mo> </mo> <mi mathvariant="normal">m</mi> <mi mathvariant="normal">m</mi> <mo>/</mo> <mi mathvariant="normal">s</mi> </mrow> </semantics></math>. (<b>h</b>) Flight No. 8: <math display="inline"><semantics> <mrow> <msubsup> <mrow> <mi>V</mi> </mrow> <mrow> <mi>v</mi> <mi>i</mi> <mi>b</mi> <mi>r</mi> <mi>a</mi> <mi>t</mi> <mi>i</mi> <mi>o</mi> <mi>n</mi> <mo>_</mo> <mi mathvariant="normal">m</mi> <mi mathvariant="normal">a</mi> <mi mathvariant="normal">x</mi> </mrow> <mrow> <mi>l</mi> <mi>e</mi> <mi>f</mi> <mi>t</mi> <mo> </mo> <mi>e</mi> <mi>n</mi> <mi>g</mi> <mi>i</mi> <mi>n</mi> <mi>e</mi> </mrow> </msubsup> <mo>=</mo> <mn>28</mn> <mo> </mo> <mi mathvariant="normal">m</mi> <mi mathvariant="normal">m</mi> <mo>/</mo> <mi mathvariant="normal">s</mi> </mrow> </semantics></math>, <math display="inline"><semantics> <mrow> <msubsup> <mrow> <mi>V</mi> </mrow> <mrow> <mi>v</mi> <mi>i</mi> <mi>b</mi> <mi>r</mi> <mi>a</mi> <mi>t</mi> <mi>i</mi> <mi>o</mi> <mi>n</mi> <mo>_</mo> <mi mathvariant="normal">m</mi> <mi mathvariant="normal">a</mi> <mi mathvariant="normal">x</mi> </mrow> <mrow> <mi>r</mi> <mi>i</mi> <mi>g</mi> <mi>h</mi> <mi>t</mi> <mo> </mo> <mi>e</mi> <mi>n</mi> <mi>g</mi> <mi>i</mi> <mi>n</mi> <mi>e</mi> </mrow> </msubsup> <mo>=</mo> <mn>25</mn> <mo> </mo> <mi mathvariant="normal">m</mi> <mi mathvariant="normal">m</mi> <mo>/</mo> <mi mathvariant="normal">s</mi> </mrow> </semantics></math>. (<b>i</b>) Flight No. 9: <math display="inline"><semantics> <mrow> <msubsup> <mrow> <mi>V</mi> </mrow> <mrow> <mi>v</mi> <mi>i</mi> <mi>b</mi> <mi>r</mi> <mi>a</mi> <mi>t</mi> <mi>i</mi> <mi>o</mi> <mi>n</mi> <mo>_</mo> <mi mathvariant="normal">m</mi> <mi mathvariant="normal">a</mi> <mi mathvariant="normal">x</mi> </mrow> <mrow> <mi>l</mi> <mi>e</mi> <mi>f</mi> <mi>t</mi> <mo> </mo> <mi>e</mi> <mi>n</mi> <mi>g</mi> <mi>i</mi> <mi>n</mi> <mi>e</mi> </mrow> </msubsup> <mo>=</mo> <mn>22</mn> <mo> </mo> <mi mathvariant="normal">m</mi> <mi mathvariant="normal">m</mi> <mo>/</mo> <mi mathvariant="normal">s</mi> </mrow> </semantics></math>, <math display="inline"><semantics> <mrow> <msubsup> <mrow> <mi>V</mi> </mrow> <mrow> <mi>v</mi> <mi>i</mi> <mi>b</mi> <mi>r</mi> <mi>a</mi> <mi>t</mi> <mi>i</mi> <mi>o</mi> <mi>n</mi> <mo>_</mo> <mi mathvariant="normal">m</mi> <mi mathvariant="normal">a</mi> <mi mathvariant="normal">x</mi> </mrow> <mrow> <mi>r</mi> <mi>i</mi> <mi>g</mi> <mi>h</mi> <mi>t</mi> <mo> </mo> <mi>e</mi> <mi>n</mi> <mi>g</mi> <mi>i</mi> <mi>n</mi> <mi>e</mi> </mrow> </msubsup> <mo>=</mo> <mn>27</mn> <mo> </mo> <mi mathvariant="normal">m</mi> <mi mathvariant="normal">m</mi> <mo>/</mo> <mi mathvariant="normal">s</mi> </mrow> </semantics></math>. (<b>j</b>) Flight No. 10: <math display="inline"><semantics> <mrow> <msubsup> <mrow> <mi>V</mi> </mrow> <mrow> <mi>v</mi> <mi>i</mi> <mi>b</mi> <mi>r</mi> <mi>a</mi> <mi>t</mi> <mi>i</mi> <mi>o</mi> <mi>n</mi> <mo>_</mo> <mi mathvariant="normal">m</mi> <mi mathvariant="normal">a</mi> <mi mathvariant="normal">x</mi> </mrow> <mrow> <mi>l</mi> <mi>e</mi> <mi>f</mi> <mi>t</mi> <mo> </mo> <mi>e</mi> <mi>n</mi> <mi>g</mi> <mi>i</mi> <mi>n</mi> <mi>e</mi> </mrow> </msubsup> <mo>=</mo> <mn>16</mn> <mo> </mo> <mi mathvariant="normal">m</mi> <mi mathvariant="normal">m</mi> <mo>/</mo> <mi mathvariant="normal">s</mi> </mrow> </semantics></math>, <math display="inline"><semantics> <mrow> <msubsup> <mrow> <mi>V</mi> </mrow> <mrow> <mi>v</mi> <mi>i</mi> <mi>b</mi> <mi>r</mi> <mi>a</mi> <mi>t</mi> <mi>i</mi> <mi>o</mi> <mi>n</mi> <mo>_</mo> <mi mathvariant="normal">m</mi> <mi mathvariant="normal">a</mi> <mi mathvariant="normal">x</mi> </mrow> <mrow> <mi>r</mi> <mi>i</mi> <mi>g</mi> <mi>h</mi> <mi>t</mi> <mo> </mo> <mi>e</mi> <mi>n</mi> <mi>g</mi> <mi>i</mi> <mi>n</mi> <mi>e</mi> </mrow> </msubsup> <mo>=</mo> <mn>29</mn> <mo> </mo> <mi mathvariant="normal">m</mi> <mi mathvariant="normal">m</mi> <mo>/</mo> <mi mathvariant="normal">s</mi> </mrow> </semantics></math>.</p>
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<p>Scheme showing the interaction between the helicopter turboshaft engine model and the semiphysical simulation stand.</p>
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<p>Dependences of the gas-generator rotor speed vibration velocity: (<b>a</b>) Flight No. 1; (<b>b</b>) Flight No. 2; (<b>c</b>) Flight No. 3; (<b>d</b>) Flight No. 4; (<b>e</b>) Flight No. 5; (<b>f</b>) Flight No. 6; (<b>g</b>) Flight No. 7; (<b>h</b>) Flight No. 8; (<b>i</b>) Flight No. 9; (<b>j</b>) Flight No. 10.</p>
Full article ">Figure 4 Cont.
<p>Dependences of the gas-generator rotor speed vibration velocity: (<b>a</b>) Flight No. 1; (<b>b</b>) Flight No. 2; (<b>c</b>) Flight No. 3; (<b>d</b>) Flight No. 4; (<b>e</b>) Flight No. 5; (<b>f</b>) Flight No. 6; (<b>g</b>) Flight No. 7; (<b>h</b>) Flight No. 8; (<b>i</b>) Flight No. 9; (<b>j</b>) Flight No. 10.</p>
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<p>Diagram of integral assessment values for all helicopter turboshaft engines in various flight modes.</p>
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18 pages, 3616 KiB  
Article
Theoretical Analysis of Shaft Wall Damage and Failure Under Impacting of Ore-Rock Falling in Vertical Ore Pass
by Qiangying Ma, Chi Ma, Jiaoqun Li, Zengxiang Lu and Zhiguo Xia
Appl. Sci. 2024, 14(22), 10695; https://doi.org/10.3390/app142210695 - 19 Nov 2024
Abstract
The impact of ore-rock blocks on the shaft wall of a vertical ore pass is a crucial cause of shaft wall damage and failure. Based on the structure and parameters of the ore pass in a case mine, the first collision’s position of [...] Read more.
The impact of ore-rock blocks on the shaft wall of a vertical ore pass is a crucial cause of shaft wall damage and failure. Based on the structure and parameters of the ore pass in a case mine, the first collision’s position of the ore-rock block with respect to the ore pass wall and the angle between the impacting direction of the ore-rock block and the horizontal plane before and after the collision are investigated via a kinematic analysis. The normal and tangential analysis models of ore rock impacting the shaft wall are established and analyzed based on contact mechanics. The results show that: (1) based on the kinematic analysis of ore rock moving in the ore pass and on the colliding condition of the ore-rock block the first time that it collides with the ore pass wall, the coordinates and angles of the collision are proposed; (2) the impacting process of ore rock is categorized into elastic compression, elastic–plastic compression, and rebound of the shaft wall material. The relationship between the normal impact force and the penetrating depth is determined, and the slipping distance of the ore-rock block along the shaft wall and the lost volume of the shaft material are established. (3) The wall material’s normal, tangential, and total restitution coefficient is acquired. (4) The total lost volume during the collision is obtained through the analysis and solution of the model. (5) Based on the characteristics and parameters of the ore pass in the case mine, the influence of the impact velocity and angle of the ore-rock block on the restitution coefficient, maximum normal intrusion depth, maximum tangential displacement, and volume loss of the shaft wall are analyzed by using relevant formulas. Full article
(This article belongs to the Special Issue Advanced Methodology and Analysis in Coal Mine Gas Control)
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<p>Layout of the main ore pass in the Shunfeng iron mine, a case mine located in Northeast China.</p>
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<p>Spatial motion model of the ore-rock block entering the ore pass: (<b>a</b>) longitudinal projection along the length of the unloading chute; (<b>b</b>) a top view of figure (<b>a</b>).</p>
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<p>Contact model between the moving ore-rock block and the ore pass wall. (<b>a</b>) Calculation model of the moving ore-rock block impacting the ore pass wall and the yellow part is the deformation area of the ore pass wall; (<b>b</b>) decomposition of the velocity of the moving ore-rock block when it collides with the ore pass wall.</p>
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<p>Calculation model of the lost volume of the ore pass wall. The shaded part in the figure is the lost volume of the ore pass wall: (<b>a</b>) profile along the center line of the ore pass, located at the point of the maximum intrusion depth of the ore-rock block; (<b>b</b>) section perpendicular to the center line of the ore pass, located at the point of maximum intrusion depth of the ore-rock block. The A.C. line in this figure represents the original surface of the ore pass wall and B is the point of maximum intrusion depth on the ore pass wall.</p>
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<p>The influence of <span class="html-italic">v</span><sub>1</sub> variations on NRC and TRC. The red lines represent the NRCs, and the blue lines represent the tangential ones.</p>
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<p>Influence of the ore-rock block radius <span class="html-italic">R</span> and of the impact velocity <span class="html-italic">v</span><sub>1</sub> on the intrusion depth.</p>
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<p>Influence of the rock block radius <span class="html-italic">R</span> change and of the impact velocity <span class="html-italic">v</span><sub>1</sub> on the tangential displacement.</p>
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<p>Influence of the rock block radius <span class="html-italic">R</span> change and of the impact velocity <span class="html-italic">v</span><sub>1</sub> on the volume loss of the shaft wall.</p>
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<p>Characteristics of the damage to the ore pass wall resulting from impact with and cutting of ore-rock block: (<b>a</b>) characteristics of the damage to the ore pass wall according to Yue Y et al. [<a href="#B26-applsci-14-10695" class="html-bibr">26</a>]; (<b>b</b>) analysis of the damage characteristics of the ore pass wall—the yellow circles show the impact traces on the ore pass wall caused by the collision with the ore-rock blocks and the black ellipses show the damage caused by the impact with a sharp surface. The height meter shows the lower half of the ore pass model.</p>
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15 pages, 4684 KiB  
Article
A Convolutional Neural Network-Based Method for Distinguishing the Flow Patterns of Gas-Liquid Two-Phase Flow in the Annulus
by Chen Cheng, Weixia Yang, Xiaoya Feng, Yarui Zhao and Yubin Su
Processes 2024, 12(11), 2596; https://doi.org/10.3390/pr12112596 - 19 Nov 2024
Viewed by 48
Abstract
In order to improve the accuracy and efficiency of flow pattern recognition and to solve the problem of the real-time monitoring of flow patterns, which is difficult to achieve with traditional visual recognition methods, this study introduced a flow pattern recognition method based [...] Read more.
In order to improve the accuracy and efficiency of flow pattern recognition and to solve the problem of the real-time monitoring of flow patterns, which is difficult to achieve with traditional visual recognition methods, this study introduced a flow pattern recognition method based on a convolutional neural network (CNN), which can recognize the flow pattern under different pressure and flow conditions. Firstly, the complex gas–liquid distribution and its velocity field in the annulus were investigated using a computational fluid dynamics (CFDs) simulation, and the gas–liquid distribution and velocity vectors in the annulus were obtained to clarify the complexity of the flow patterns in the annulus. Subsequently, a sequence model containing three convolutional layers and two fully connected layers was developed, which employed a CNN architecture, and the model was compiled using the Adam optimizer and the sparse classification cross entropy as a loss function. A total of 450 images of different flow patterns were utilized for training, and the trained model recognized slug and annular flows with probabilities of 0.93 and 0.99, respectively, confirming the high accuracy of the model in recognizing annulus flow patterns, and providing an effective method for flow pattern recognition. Full article
(This article belongs to the Special Issue Recent Advances in Hydrocarbon Production Processes from Geoenergy)
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<p>Typical two-phase flow of annular gas–liquid under operating conditions. (<b>a</b>) Wellbore gas–liquid two-phase flow for dual-gradient drilling [<a href="#B11-processes-12-02596" class="html-bibr">11</a>]; (<b>b</b>) drainage of liquid–gas wells for gas recovery.</p>
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<p>Schematic diagram of flow pattern changes in a vertical annulus pipe.</p>
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<p>Flowchart of model operation.</p>
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<p>Gas–liquid phase distribution in 45° inclined pipe with different cross sections.</p>
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<p>Gas–liquid distribution pattern of the slug unit in the annulus.</p>
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<p>Streamlines and velocity vectors at 45° inclination angle.</p>
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<p>Uncertainty analysis process.</p>
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<p>Photograph of typical flow pattern in the annulus (the red line is the gas–liquid interface).</p>
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23 pages, 5685 KiB  
Article
Analysis and Experimental Study on the Influence of Louver Separation Device on the Sand Collection Efficiency of Wind Erosion Instrument
by Zhentong Liu, Fengwu Zhu, Dongyan Huang, Man Ao, Yunhai Ma and Xianzhang Meng
Sustainability 2024, 16(22), 10071; https://doi.org/10.3390/su162210071 - 19 Nov 2024
Viewed by 106
Abstract
A wind erosion instrument is a core instrument for collecting sand particles in wind and sand flows and studying the laws of wind and sand movement. To study the influence of the internal structure of the wind erosion instrument on its sand collection [...] Read more.
A wind erosion instrument is a core instrument for collecting sand particles in wind and sand flows and studying the laws of wind and sand movement. To study the influence of the internal structure of the wind erosion instrument on its sand collection efficiency, a built-in louver separation device was designed. Based on CFD and Fluent 2022 software, numerical analysis was conducted using an RNG k-ε model, and the discrete phase model (DPM) method was used to calculate the sand collection efficiency. The flow field analysis of the new wind–sand separator was carried out. The influence of blade inclination angle, blade thickness, and blade number on sand collection efficiency was studied using single-factor and response surface analysis methods. The optimal parameter combination was obtained as blade inclination angle of 30°, blade thickness of 1.25 mm, and blade number of 10. A simulation model was established based on the optimal combination parameters, and the performance of the wind erosion instrument before and after the addition of the louver separation device was compared. The simulation results show that adding a louver separation device can increase static pressure, alleviate short-circuit flow and back-mixing phenomena, and stabilize the flow field; increasing tangential velocity leads to an increase in particle centrifugal force; reduce axial velocity, prolong particle stagnation time, and minimize particle escape. The particle trajectory pattern is mostly a continuous spiral path, which is conducive to capturing particles and improving sand collection efficiency. Compared with the original structure, for particles with diameters ranging from 0.001–0.05 mm, 0.005–0.01 mm, 0.01–0.05 mm, 0.05–0.1 mm, and 0.1–0.5 mm, the addition of a louver separation device increased the sand collection efficiency by 32.74%, 22.55%, 33.17%, 11.45%, and 0.13%, respectively. When the wind speed is 13.8 m/s and the diameter range is 0.001–0.5 mm, the average sand collection efficiency obtained from simulation tests and wind tunnel tests is 86.18% and 84.32%, respectively, with an error of 2.2%. The simulation results are reliable. The research results show that adding a louver separation device can improve the sand collection efficiency of the wind erosion instrument, and has better overall performance compared to the original wind–sand separator. This study provides a basis for further research on the structure of wind erosion gauges and the environmental protection of farmland. Strengthening land management can effectively protect soil resources, reduce wind erosion, ensure the stability of the ecosystem, and lay the foundation for promoting the sustainable use of land. Full article
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<p>Overall structure of wind erosion instrument: 1. guide plate; 2. rotating shaft; 3. sand collection unit; 4. fixing rod of sand collecting unit; 5. fixing rod of wind erosion instrument; 6. fixing rod flange of wind erosion instrument.</p>
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<p>Structural diagram of sand collection unit: 1. inlet pipe; 2. louver separation device; 3. exhaust pipe; 4. cone-shaped guide plate; 5. collection box; 6. weight sensor; 7. bottom cover; 8. shell fixing bracket; 9. shell.</p>
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<p>Design schematic of louver separation device: (<b>a</b>) Flow-around schematic; (<b>b</b>) Flow-around phenomenon.</p>
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<p>Wind–sand separator: (<b>a</b>) Structural diagram of original wind–sand separator; (<b>b</b>) Structural diagram of louver separation device; (<b>c</b>) Structural diagram of wind and sand separator with additional louvre separation device.</p>
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<p>Schematic diagram of boundary conditions for wind–sand separator.</p>
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<p>Single-Factor experiment results: (<b>a</b>) The influence of blade inclination angle on sand collection efficiency; (<b>b</b>) The influence of blade thickness on sand collection efficiency; (<b>c</b>) The influence of the number of blades on sand collection efficiency.</p>
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<p>Response surface plot of the interaction effects of various factors on sand collection efficiency.</p>
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<p>Static pressure distribution inside the wind–sand separator with or without louver separation device.</p>
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<p>Tangential velocity distribution inside the wind–sand separator with or without louver separation device.</p>
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<p>Tangential velocity distribution curves of cross-sections with different z-values.</p>
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<p>Axial velocity distribution inside the wind–sand separator with or without louver separation device.</p>
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<p>Axial velocity distribution curves of cross-sections with different z-values.</p>
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<p>Particle trajectory: (<b>a</b>) Particle trajectory of wind–sand separator without louver separation device; (<b>b</b>) Particle trajectory of wind–sand separator with louver separation device.</p>
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<p>Sand collection efficiency curve of wind–sand separator with or without louver separation device.</p>
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<p>Wind–sand separation performance test diagram: (<b>a</b>) Experimental diagram of micro wind tunnel; (<b>b</b>) Physical picture of wind–sand separator.</p>
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<p>Comparison of sand collection efficiency between wind erosion instrument simulation test and wind tunnel test.</p>
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20 pages, 7640 KiB  
Article
Mesh Sensitivity Analysis of Axisymmetric Models for Smooth–Turbulent Transient Flows
by Pedro Leite Ferreira and Dídia Isabel Cameira Covas
Fluids 2024, 9(11), 268; https://doi.org/10.3390/fluids9110268 - 19 Nov 2024
Viewed by 135
Abstract
The current paper focuses on the assessment of radial mesh influence on the description of the transient event obtained by an axisymmetric model. The objective is to reduce computational effort while accurately calculating hydraulic transients in smooth–turbulent pressurized pipes. The analyzed pipe system [...] Read more.
The current paper focuses on the assessment of radial mesh influence on the description of the transient event obtained by an axisymmetric model. The objective is to reduce computational effort while accurately calculating hydraulic transients in smooth–turbulent pressurized pipes. The analyzed pipe system has a reservoir–pipe–valve configuration with an inner diameter of 0.02 m and a total length of 14.96 m, with the initial discharge being equal to 120 × 10−3 L/s (Re = 7638). An extensive study is carried out with 80 geometric sequence meshes by varying the total number of cylinders, the geometric common ratio, and the pipe axial discretization. The benefit of increasing the geometric common ratio is highlighted. A detailed comparison between two meshes is presented, in which the best mesh (i.e., the one with the lowest computational effort) has a three-fold higher value of the geometric common ratio. The two meshes show small differences for the instantaneous valve closure, limited to a time interval immediately after the arrival of the pressure surge and only during the first pressure wave. The dynamic characterization of the transient phenomenon demonstrates the in-depth consistency between the model results and the hydraulic transients’ phenomenon in terms of the piezometric head, the wall shear stress, and the mean velocity time-history, in comparison to the results obtained with the shear stress, lateral velocity, and axial velocity profiles. Full article
(This article belongs to the Special Issue Modelling Flows in Pipes and Channels)
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Figure 1
<p>Geometric sequence mesh for <span class="html-italic">N<sub>C</sub></span> = 40 and <span class="html-italic">C<sub>R</sub></span> = 5%, referred to as GS<sub>5%</sub>40.</p>
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<p>GS grids’ accuracy variation with <span class="html-italic">N<sub>C</sub></span> and <span class="html-italic">C<sub>R</sub></span> values represented in (<b>a</b>) a linear scale and (<b>b</b>) a logarithmic scale.</p>
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<p>Axial velocity profile according with the turbulent layers for two GS mesh with <span class="html-italic">N<sub>C</sub></span> = 60: (<b>a</b>) <span class="html-italic">C<sub>R</sub></span> = 1%; (<b>b</b>) <span class="html-italic">C<sub>R</sub></span> = 9%.</p>
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<p>Wall shear stress time-history at pipe midsection for GS<sub>1%</sub>60, GS<sub>1%</sub>120, and GS<sub>5</sub>%120: (<b>a</b>) the complete series for 0.125 ≤ <span class="html-italic">t</span>/<span class="html-italic">T</span> ≤ 3.125; (<b>b</b>) detail for 1.625 ≤ <span class="html-italic">t</span>/<span class="html-italic">T</span> ≤ 3.125.</p>
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<p>Wall shear stress time-history at pipe midsection for GS<sub>7%</sub>60 and GS<sub>9%</sub>60 (using GS<sub>5%</sub>120 as benchmark): (<b>a</b>) the complete series for 0.125 ≤ <span class="html-italic">t</span>/<span class="html-italic">T</span> ≤ 3.1; (<b>b</b>) detail for 1.625 ≤ <span class="html-italic">t</span>/<span class="html-italic">T</span> ≤ 3.1; and (<b>c</b>) detail for 2.840 ≤ <span class="html-italic">t</span>/<span class="html-italic">T</span> ≤ 2.960.</p>
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<p>Wall shear stress maximum values at pipe midsection for three meshes with <span class="html-italic">N<sub>C</sub></span> = 100, considering (<b>a</b>) <math display="inline"><semantics> <mrow> <msub> <mrow> <mi mathvariant="sans-serif">Λ</mi> </mrow> <mrow> <mi>R</mi> </mrow> </msub> </mrow> </semantics></math> = 5.0 (∆<span class="html-italic">x</span> = 0.10 m); (<b>b</b>) <math display="inline"><semantics> <mrow> <msub> <mrow> <mi mathvariant="sans-serif">Λ</mi> </mrow> <mrow> <mi>R</mi> </mrow> </msub> <mo> </mo> </mrow> </semantics></math>= 1.0 (∆<span class="html-italic">x</span> = 0.02 m); and (<b>c</b>) <math display="inline"><semantics> <mrow> <msub> <mrow> <mi mathvariant="sans-serif">Λ</mi> </mrow> <mrow> <mi>R</mi> </mrow> </msub> </mrow> </semantics></math> = 0.5 (∆<span class="html-italic">x</span> = 0.01 m).</p>
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<p>Numerical instability representation according to <span class="html-italic">N<sub>3R</sub></span>/<span class="html-italic">N<sub>X</sub></span> and <math display="inline"><semantics> <mrow> <msub> <mrow> <mi mathvariant="sans-serif">Λ</mi> </mrow> <mrow> <mi>X</mi> </mrow> </msub> </mrow> </semantics></math>. Filled marks represent numerically unstable solutions, and unfilled marks represent the numerically stable simulations.</p>
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<p>Computational effort versus transient simulation error for dimensionless form, considering (<b>a</b>) the four <math display="inline"><semantics> <mrow> <msub> <mrow> <mi mathvariant="sans-serif">Λ</mi> </mrow> <mrow> <mi>X</mi> </mrow> </msub> </mrow> </semantics></math> groups; (<b>b</b>) detail for MAPE &lt; 0.20%.</p>
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<p>Computation effort versus transient simulation error for dimensionless form considering (<b>a</b>) the four <math display="inline"><semantics> <mrow> <msub> <mrow> <mi mathvariant="sans-serif">Λ</mi> </mrow> <mrow> <mi>X</mi> </mrow> </msub> </mrow> </semantics></math> groups; (<b>b</b>) detail for MAPE &lt; 0.20%.</p>
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<p>Steady velocity profile for a turbulent boundary layer for the best two meshes used in the Q2D model: (<b>a</b>) GS<sub>9%</sub>60; (<b>b</b>) GS<sub>3%</sub>120.</p>
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<p>Piezometric head time-history simulation using GS<sub>3%</sub>120 and GS<sub>9%</sub>60 at the pipe midsection.</p>
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<p>Absolute wall shear stress time-history using GS<sub>3%</sub>120 and GS<sub>9%</sub>60 with the Q2D model at pipe midsection.</p>
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<p>Unsteady wall shear stress and mean velocity at the conduit midsection for GS<sub>9%</sub>60 and GS<sub>3%</sub>120 meshes with (<b>a</b>) 0.125≤ <span class="html-italic">t</span>/<span class="html-italic">T</span> ≤ 1.125 (1T); (<b>b</b>) 1.125 ≤ <span class="html-italic">t</span>/<span class="html-italic">T</span> ≤ 2.125 (2T), (<b>c</b>) 2.125 ≤ <span class="html-italic">t</span>/<span class="html-italic">T</span> ≤ 3.125 (3T).</p>
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<p>Mean velocity time-history at pipe midsection with the GS<sub>9%</sub>60 mesh.</p>
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<p>Mean velocity time-history at the pipe midsection with the GS<sub>9%</sub>60 mesh.</p>
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<p>Dimensionless shear stress profiles close to the pipe wall for GS9%60. (<b>a</b>) 0 ≤ <span class="html-italic">t</span>/<span class="html-italic">T</span> ≤ 0.5; (<b>b</b>) 0.5 ≤ <span class="html-italic">t</span>/<span class="html-italic">T</span> ≤ 1.0; (<b>c</b>) 4.0 ≤ <span class="html-italic">t</span>/<span class="html-italic">T</span> ≤ 4.5; (<b>d</b>) 4.5 ≤ <span class="html-italic">t</span>/<span class="html-italic">T</span> ≤ 5.0.</p>
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<p>Dimensionless velocity profiles close to the pipe wall for GS<sub>9%</sub>60: (<b>a</b>) 0 ≤ <span class="html-italic">t</span>/<span class="html-italic">T</span> ≤ 0.5; (<b>b</b>) 4.5 ≤ <span class="html-italic">t</span>/<span class="html-italic">T</span> ≤ 5.0.</p>
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<p>Axial velocity time-histories at different distances from the wall: (<b>a</b>) from 50% R to 92.5% R; (<b>b</b>) from 99.0% R to 99.9% R.</p>
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9 pages, 1298 KiB  
Article
Effect of Instruction and Target Position on Penalty Kicking Performance in Soccer
by Arne Sørensen, Ole H. Christensen and Roland van den Tillaar
Appl. Sci. 2024, 14(22), 10668; https://doi.org/10.3390/app142210668 - 19 Nov 2024
Viewed by 247
Abstract
The purpose of this study was to investigate the effect of instructions that prioritize either speed or accuracy in experienced senior football players when taking penalty kicks at five different targets in a goal. Sixteen male experienced senior football players performed in total [...] Read more.
The purpose of this study was to investigate the effect of instructions that prioritize either speed or accuracy in experienced senior football players when taking penalty kicks at five different targets in a goal. Sixteen male experienced senior football players performed in total 80 penalty kicks with instructions that prioritized either precision or speed at five different targets in the goal. Ball velocity and hit accuracy were evaluated between the two instructions and the five targets. The main findings showed that aiming for velocity resulted in higher ball velocity and lower kicking accuracy than aiming for accuracy. However, kicking accuracy was only lower when kicking to the bottom corner targets. Furthermore, when shooting high at the middle, the percentage of balls on target was higher when aiming for speed rather than accuracy. Based upon the findings of the study, it is suggested that a player should try to kick as fast as possible and aim for the middle of the goal, as ball velocity is faster than when aiming for accuracy and hit percentage in the goal is also at its highest, thereby increasing the chances of outdoing the goalkeeper, who most often goes for one of the sides. Full article
(This article belongs to the Special Issue Sports Performance: Data Measurement, Analysis and Improvement)
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<p>Measuring set up with accuracy measurements.</p>
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<p>Mean (±SD) ball velocity (km/h) at the different targets averaged per instruction for velocity and accuracy over all participants. * Indicates a significant difference between the two instructions at all targets on a <span class="html-italic">p</span> &lt; 0.01 level. † Indicates a significant difference between these two targets for this instruction on a <span class="html-italic">p</span> &lt; 0.05 level.</p>
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<p>Two accuracy measurements (<b>A</b>) mean (±SD) distance to center of target (m) and (<b>B</b>) mean (±SD) percentage of hits in the soccer goal when aiming at the targets averaged per velocity and accuracy instruction over all participants. * Indicates a significant difference between the two instructions at this target on a <span class="html-italic">p</span> &lt; 0.01 level. † Indicates a significant difference between the two targets in the top corners with the other three targets on a <span class="html-italic">p</span> &lt; 0.05 level.</p>
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<p>Ball velocity and accuracy when aiming high or low averaged per instruction for velocity and accuracy over all participants. * Indicates a significant difference between the two instructions for this target position on a <span class="html-italic">p</span> &lt; 0.01 level. † Indicates a significant difference between the two targets positions for this instruction on a <span class="html-italic">p</span> &lt; 0.05 level.</p>
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26 pages, 10103 KiB  
Article
Coordinated Ramp Metering Considering the Dynamics of Mixed-Autonomy Traffic
by Hongxin Yu, Lihui Zhang, Meng Zhang, Fengyue Jin and Yibing Wang
Sustainability 2024, 16(22), 10055; https://doi.org/10.3390/su162210055 - 18 Nov 2024
Viewed by 298
Abstract
The introduction of connected autonomous vehicles may bring opportunities and challenges to traditional traffic control instruments, like ramp metering. This paper starts by constructing the fundamental diagram for mixed-autonomy traffic based on the car-following behaviors of both connected autonomous vehicles and human-driven vehicles. [...] Read more.
The introduction of connected autonomous vehicles may bring opportunities and challenges to traditional traffic control instruments, like ramp metering. This paper starts by constructing the fundamental diagram for mixed-autonomy traffic based on the car-following behaviors of both connected autonomous vehicles and human-driven vehicles. Then, analyses are performed on the main factors that influence the critical velocity, critical density, and road capacity under mixed-autonomy traffic. Two methods named COE-HERO and TRLCRM are developed to support the implementations of coordinated ramp metering for freeways with mixed-autonomy traffic. The COE-HERO method enhances the HERO method by incorporating a critical occupancy estimation module. Both COE-HERO and TRLCRM consider dynamic traffic flow parameters of mixed-autonomy traffic. The TRLCRM method is a reinforcement learning-based approach with a two-stage training framework, enabling it to adapt to varying mixed-autonomy demand scenarios. Extensive microscopic simulations show that the learning-based TRLCRM method can effectively alleviate bottleneck congestion and is robust to deal with various traffic scenarios. The COE-HERO method performs better than the HERO method, indicating the necessity of critical occupancy estimation in the implementations of coordinated ramp metering. Full article
(This article belongs to the Section Sustainable Transportation)
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<p>Research flowchart of this study.</p>
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<p>Illustration of car-following scenarios in mixed-autonomy traffic.</p>
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<p>Illustration of the COE module.</p>
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<p>Overall architecture of TRLCRM.</p>
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<p>Two-stage training framework.</p>
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<p>Topology of the test road network.</p>
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<p>Learning curves during training Stage 1 and Stage 2.</p>
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<p>Speed contour plots in space-time diagram under Stage 1 demand scenario.</p>
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<p>Ramp queue lengths resulted from different control strategies under Stage 1 demand scenario.</p>
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<p>Estimated critical occupancies with COE-HERO method under Stage 1 demand scenario.</p>
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<p>The total throughputs and average travel times resulted from different control strategies under Stage 1 demand scenario.</p>
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<p>Speed contour plots in the space-time diagram resulted from different control strategies under Cases 1–4.</p>
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<p>Estimated critical occupancies around three on-ramps under Cases 1–4.</p>
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<p>Speed contour plots in the space-time diagram resulted from different control strategies under Cases 5–8.</p>
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<p>Estimated critical occupancies around three on-ramps under Cases 5–8.</p>
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