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Search Results (688)

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27 pages, 14009 KiB  
Article
Model Development for Estimating Sub-Daily Urban Air Temperature Patterns in China Using Land Surface Temperature and Auxiliary Data from 2013 to 2023
by Yuchen Guo, János Unger and Tamás Gál
Remote Sens. 2024, 16(24), 4675; https://doi.org/10.3390/rs16244675 - 14 Dec 2024
Viewed by 391
Abstract
Near-surface air temperature (Tair) is critical for addressing urban challenges in China, particularly in the context of rapid urbanization and climate change. While many studies estimate Tair at a national scale, they typically provide only daily data (e.g., maximum and minimum Tair), with [...] Read more.
Near-surface air temperature (Tair) is critical for addressing urban challenges in China, particularly in the context of rapid urbanization and climate change. While many studies estimate Tair at a national scale, they typically provide only daily data (e.g., maximum and minimum Tair), with few focusing on sub-daily urban Tair at high spatial resolution. In this study, we integrated MODIS-based land surface temperature (LST) data with 18 auxiliary data from 2013 to 2023 to develop a Tair estimation model for major Chinese cities, using random forest algorithms across four diurnal and seasonal conditions: warm daytime, warm nighttime, cold daytime, and cold nighttime. Four model schemes were constructed and compared by combining different auxiliary data (time-related and space-related) with LST. Cross-validation results were found to show that space-related and time-related variables significantly affected the model performance. When all auxiliary data were used, the model performed best, with an average RMSE of 1.6 °C (R2 = 0.96). The best performance was observed on warm nights with an RMSE of 1.47 °C (R2 = 0.97). The importance assessment indicated that LST was the most important variable across all conditions, followed by specific humidity, and convective available potential energy. Space-related variables were more important under cold conditions (or nighttime) compared with warm conditions (or daytime), while time-related variables exhibited the opposite trend and were key to improving model accuracy in summer. Finally, two samples of Tair patterns in Beijing and the Pearl River Delta region were effectively estimated. Our study offered a novel method for estimating sub-daily Tair patterns using open-source data and revealed the impacts of predictive variables on Tair estimation, which has important implications for urban thermal environment research. Full article
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<p>Research area and the location of meteorological stations. As the reference line for the study area, the Hu Line (Heihe–Tengchong Line) is represented by the dashed line. Beijing and the PRD were chosen as sample areas for estimated Tair illustration. Their satellite images and LCZ maps are shown in detail. The LCZ type codes refer to the specific LCZ types, as follows: 1 (compact high-rise), 2 (compact mid-rise), 3 (compact low-rise), 4 (open high-rise), 5 (open mid-rise), 6 (open low-rise), 7 (lightweight low-rise), 8 (large low-rise), 9 (sparsely built), 10 (heavy industry), A (dense trees), B (scattered trees), C (bush, scrub), D (low plants), E (bare rock or paved), F (bare soil or sand), and G (water).</p>
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<p>The overall framework of this study. The main steps are highlighted in blue.</p>
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<p>The RMSE (<b>a</b>) between the predicted and measured Tair based on the tenfold cross-validation of four model schemes under four diurnal and seasonal conditions and the RMSE gaps (ΔRMSE) between Model 1 and the other three model schemes (<b>b</b>).</p>
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<p>Scatter plots and fitting results between observed and estimated Tair of the final model scheme (Model 4) under four diurnal and seasonal conditions based on the tenfold cross-validation. The panels (<b>a</b>–<b>d</b>) represent warm daytime, warm nighttime, cold daytime, and cold nighttime, respectively. The color of the scatter plot represents the point density.</p>
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<p>The relative values of VIMs were calculated for all predictor variables under four diurnal and seasonal conditions, based on the impurity-corrected method. The subfigure (<b>a</b>–<b>d</b>) represent warm daytime, warm nighttime, cold daytime, and cold nighttime, respectively.</p>
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<p>The annual variation in daily RMSE based on cross-validation using the entire dataset, under warm (<b>a</b>) and cold (<b>b</b>) conditions. The gray shades mask the time period with less data. Under the warm condition (<b>a</b>) less than 70% stations have usable data in gray-shaded period and this proportion is 30% during cold condition (<b>b</b>).</p>
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<p>The spatial distribution of RMSE at each station based on cross-validation under four diurnal and seasonal conditions. The panels (<b>a</b>–<b>d</b>) represent warm daytime, warm nighttime, cold daytime, and cold nighttime, respectively.</p>
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<p>Spatiotemporal patterns of the estimated air temperature under the warm (25 July 2023) condition in Beijing. The black oval on the 14:00 map highlights the heat island at the airport.</p>
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<p>Spatiotemporal patterns of the estimated air temperature under the cold (9 January 2018) condition in Beijing. The black ovals on the 02:00 map highlight the heat spots in the northwest mountain regions surrounding Beijing.</p>
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<p>Spatiotemporal patterns of the estimated air temperature under warm conditions (30 September 2019) in the PRD. The black ovals with numbers on the map highlight the major cities within the region. The cities corresponding to the numbers are as follows: 1. Dongguan (coastal areas), 2. Shenzhen (coastal areas), 3. Hong Kong, 4. Macau, 5. Guangzhou and Foshan, and 6. Dongguan (inland areas).</p>
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<p>The annual variation in daily RMSE based on the cross-validation of Model 4, using the limited dataset under warm conditions, with 300 samples randomly selected each day.</p>
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<p>The annual variation in daily RMSE based on cross-validation of three model schemes, Model 1 (<b>a</b>), Model 2 (<b>b</b>), and Model 3 (<b>c</b>). All RMSEs are computed under warm conditions using the same limited dataset as <a href="#remotesensing-16-04675-f011" class="html-fig">Figure 11</a>.</p>
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<p>The spatial patterns of RMSE at each station based on the cross-validation of Model 2 (<b>a</b>) and Model 3 (<b>b</b>) under warm nighttime conditions.</p>
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20 pages, 8404 KiB  
Article
Cloud Removal in the Tibetan Plateau Region Based on Self-Attention and Local-Attention Models
by Guoqiang Zheng, Tianle Zhao and Yaohui Liu
Sensors 2024, 24(23), 7848; https://doi.org/10.3390/s24237848 - 8 Dec 2024
Viewed by 404
Abstract
Optical remote sensing images have a wide range of applications but are often affected by cloud cover, which interferes with subsequent analysis. Therefore, cloud removal has become indispensable in remote sensing data processing. The Tibetan Plateau, as a sensitive region to climate change, [...] Read more.
Optical remote sensing images have a wide range of applications but are often affected by cloud cover, which interferes with subsequent analysis. Therefore, cloud removal has become indispensable in remote sensing data processing. The Tibetan Plateau, as a sensitive region to climate change, plays a crucial role in the East Asian water cycle and regional climate due to its snow cover. However, the rich ice and snow resources, rapid snow condition changes, and active atmospheric convection in the plateau as well as its surrounding mountainous areas, make optical remote sensing prone to cloud interference. This is particularly significant when monitoring snow cover changes, where cloud removal becomes essential considering the complex terrain and unique snow characteristics of the Tibetan Plateau. This paper proposes a novel Multi-Scale Attention-based Cloud Removal Model (MATT). The model integrates global and local information by incorporating multi-scale attention mechanisms and local interaction modules, enhancing the contextual semantic relationships and improving the robustness of feature representation. To improve the segmentation accuracy of cloud- and snow-covered regions, a cloud mask is introduced in the local-attention module, combined with the local interaction module to modulate and reconstruct fine-grained details. This enables the simultaneous representation of both fine-grained and coarse-grained features at the same level. With the help of multi-scale fusion modules and selective attention modules, MATT demonstrates excellent performance on both the Sen2_MTC_New and XZ_Sen2_Dataset datasets. Particularly on the XZ_Sen2_Dataset, it achieves outstanding results: PSNR = 29.095, SSIM = 0.897, FID = 125.328, and LPIPS = 0.356. The model shows strong cloud removal capabilities in cloud- and snow-covered areas in mountainous regions while effectively preserving snow information, and providing significant support for snow cover change studies. Full article
(This article belongs to the Section Remote Sensors)
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<p>A brief explanation of the input and output for cloud detection and removal data is as follows: three cloudy remote sensing images from different periods, their corresponding cloud-snow segmentation masks, and a cloud-free reference image are processed through the cloud removal model to generate reconstructed cloud-free images.</p>
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<p>A module that uses multiple feature processing modules to segment clouds and snow.</p>
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<p>In the encoder, we downsample the input image N times. Then, multi-scale features are fused through average pooling and multi-branch convolutions. Multi-scale feature fusion layer processes the fused features to obtain global attention for modulating the multi-scale features. During the reconstruction process, we use a local interaction module to recover more details.</p>
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<p>Multiscale Attention Module CF-ATT. It includes multi-scale feature extraction and multi-scale feature fusion modules, as well as reparameterization.</p>
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<p>Convolution-Self-Attention Block and feedforward network.</p>
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<p>The XZ_Sen2_Dataset contains representative instances of cloud-snow mixed data from high-altitude areas. Each image data set includes three cloud-covered images taken at different times and a corresponding cloud-free reference image. (<b>a</b>–<b>d</b>) represent images from different seasons and cloud amounts.</p>
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<p>Cloud removal experimental results in agricultural scenes. (<b>a</b>–<b>c</b>) are cloud-free images from different time periods, (<b>d</b>) represents cloud-free reference images, and (<b>e</b>) represents decloud-free reconstructed images. The red box indicates the key decloud-de-rebuilding area.</p>
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<p>Cloud removal experimental results in the green land scene. (<b>a</b>–<b>c</b>) are cloud-free images from different time periods, (<b>d</b>) represents cloud-free reference images, and (<b>e</b>) represents decloud-free reconstructed images. The red box indicates the key decloud-de-rebuilding area.</p>
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<p>Cloud removal results in mountainous areas with light cloud cover and snow. (<b>a</b>–<b>c</b>) are cloud-free images from different time periods, (<b>d</b>) represents cloud-free reference images, and (<b>e</b>) represents decloud-free reconstructed images. The yellow box indicates the key decloud-de-rebuilding area.</p>
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<p>Cloud removal results in mountainous areas with heavy cloud cover and snow. (<b>a</b>–<b>c</b>) are cloud-free images from different time periods, (<b>d</b>) represents cloud-free reference images, and (<b>e</b>) represents decloud-free reconstructed images. The yellow box indicates the key decloud-de-rebuilding area.</p>
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<p>Attention maps of different attention models: (<b>a</b>) cloud coverage map; (<b>b</b>) mask for cloud and snow segmentation in snow-covered mountainous areas; (<b>c</b>) C-MSA attention map; (<b>d</b>) attention map with added selective attention; (<b>e</b>) LIM map.</p>
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<p>In the case of four different levels of cloud coverage, each data set represents cloud-covered images and cloud-free images, along with the image reconstruction results of cloud-snow covered areas using different cloud removal methods.</p>
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17 pages, 7395 KiB  
Article
Data-Model Fusion-Driven Method for Fault Quantitative Diagnosis of Heat Exchanger
by Xiaogang Qin, Shiwei Yan, Haibo Xu, Yi Gao, Yanbing Yu and Jinjiang Wang
Energies 2024, 17(23), 6113; https://doi.org/10.3390/en17236113 - 4 Dec 2024
Viewed by 418
Abstract
Heat exchangers play essential roles in the oil and gas production process for convective heat transfer and heat conduction. The health management of heat exchangers stays in the direct monitoring of performance parameters. Aiming at the difficulty of precise fault identification and quantification [...] Read more.
Heat exchangers play essential roles in the oil and gas production process for convective heat transfer and heat conduction. The health management of heat exchangers stays in the direct monitoring of performance parameters. Aiming at the difficulty of precise fault identification and quantification for heat exchangers in multiple unknown failure modes, a data-model fusion-driven fault quantitative diagnosis method is proposed. Firstly, based on the monitoring data such as temperature, pressure and flow rate, the secondary parameters characterizing the heat exchanger running state are constructed combined with structural physical parameters. Then, by analyzing the correlation among parameter variation, failure modes and deterioration degree, a qualitative inference model of heat exchanger is formed for fault identification, where weights of parameters are introduced based on their sensitivity for different failure modes. After the fault mode is identified, to achieve quantitative analysis of the failure degree, an index-integrated mechanism equation is constructed using monitoring data and secondary parameters, where the index is dynamically modified by online data. Finally, a heat exchanger experiment is carried out to demonstrate the robustness and accuracy of the proposed method. Full article
(This article belongs to the Section J1: Heat and Mass Transfer)
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<p>Fault tree for heat exchanger typical fault.</p>
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<p>Framework of the proposed data-model fusion-driven method for heat exchanger fault quantitative diagnosis.</p>
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<p>Schematic diagram of the testbench.</p>
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<p>Data analysis for external leakage fault: (<b>a</b>) hot side outlet temperature, (<b>b</b>) heat transfer efficiency, (<b>c</b>) buffer tank pressure, (<b>d</b>) hot side inlet pressure, (<b>e</b>) pressure drop, (<b>f</b>) hot side flow.</p>
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<p>Data analysis for internal leakage fault: (<b>a</b>) mean temperature differential, (<b>b</b>) heat transfer efficiency, (<b>c</b>) buffer tank pressure, (<b>d</b>) hot side inlet pressure, (<b>e</b>) pressure drop, (<b>f</b>) hot side flow.</p>
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<p>Data analysis for fouling fault: (<b>a</b>) mean temperature differential, (<b>b</b>) hot side outlet temperature, (<b>c</b>) cold side outlet temperature, (<b>d</b>) heat transfer efficiency, (<b>e</b>) heat transfer coefficient.</p>
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<p>Calculated results of fouling thickness quantification index: (<b>a</b>) working condition 1, (<b>b</b>) working condition 2, (<b>c</b>) working condition 3.</p>
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13 pages, 2817 KiB  
Article
Flammability and Thermoregulation Performance of Multilayer Protective Clothing Incorporated with Phase Change Materials
by Muhammad Shoaib, Hafsa Jamshaid, Rajesh Kumar Mishra, Kashif Iqbal, Miroslav Müller, Vijay Chandan and Tatiana Alexiou Ivanova
Materials 2024, 17(23), 5826; https://doi.org/10.3390/ma17235826 - 27 Nov 2024
Viewed by 1009
Abstract
Firefighters need personal protection equipment and protective clothing to be safe and protected when responding to fire incidents. At present, firefighters’ suits are developed by using inherently thermal-resistant fibers but pose serious problems related to comfort. In the present research, multilayered fire-fighting fabrics [...] Read more.
Firefighters need personal protection equipment and protective clothing to be safe and protected when responding to fire incidents. At present, firefighters’ suits are developed by using inherently thermal-resistant fibers but pose serious problems related to comfort. In the present research, multilayered fire-fighting fabrics were developed with different fiber blends. Multilayer fire retardant (FR) fabrics with phase change materials (PCMs) inserts were developed and compared with reference multilayer fabrics without PCM. In this context, four fabric samples were chosen to fabricate the multilayer FR fabrics. Properties of multilayer fabrics were investigated, which include physical, thermo–physiological comfort, and flame-resistant performance. The heating process of the clothing was examined using infrared (IR) thermography, differential scanning calorimetry (DSC), thermal protective testing (TPP), and steady-state (Convective and Radiant) heat resistance tests. Areal density and thickness were measured as physical parameters, and air permeability (AP), overall moisture management capacity (OMMC), and thermal conductivity were measured as thermo–physiological comfort characteristics. The inclusion of PCM improved the thermal protection as well as flame resistance significantly. Sample S1 (Nomex + PTFE + Nomex with PCM) demonstrated superior fire resistance, air permeability, and thermal protection, with a 37.3% increase in air permeability as compared to the control sample (SC) by maintaining comfort while offering high thermal resilience. The inclusion of PCM enhanced its thermal regulation, moderating heat transfer. Flame resistance tests confirmed its excellent performance, while thermo–physiological assessments highlighted a well-balanced combination of thermal conductivity and air permeability. This study will help to improve the performance of firefighter protective fabrics and provide guidelines in terms of balancing comfort and performance while designing firefighter protective clothing for different climatic conditions. Full article
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<p>Schematic and assembly for the fabrication of multilayer firefighter suit.</p>
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<p>Instruments used for thermal testing of multilayer fabrics: (<b>a</b>) thermal protective tester, (<b>b</b>) Kawabata thermal conductivity tester, and (<b>c</b>) auto/horizontal flame tester.</p>
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<p>Multilayer fabrics after flame tests.</p>
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<p>PCM’s performance: (<b>a</b>) thermal images of multilayer fabrics at different residence times. (<b>b</b>) Enthalpy of PCMs.</p>
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<p>Comparison of thermal protective performance of the multilayer fabrics, S1, S2, S3, S4, SC, and barchart showing their thermal performance. The bars in <a href="#materials-17-05826-f005" class="html-fig">Figure 5</a> show mean values with standard deviation (SD). As can be seen, the trend of the protective performance of the prepared samples was S1 &gt; S3 &gt; S2 &gt; S4, respectively. As S1 and S3 samples consist of Nomex, which has inherently good char ability and creates a protective layer on the surface of the fabric, its thermal protective performance was better than other types of fibers used. Sample S4 showed the lowest thermal performance, which was also evident from the minimum char produced.</p>
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22 pages, 7564 KiB  
Article
Computational Modeling of Natural Convection in Nanofluid-Saturated Porous Media: An Investigation into Heat Transfer Phenomena
by Janja Kramer Stajnko, Jure Ravnik, Renata Jecl and Matjaž Nekrep Perc
Mathematics 2024, 12(23), 3653; https://doi.org/10.3390/math12233653 - 21 Nov 2024
Viewed by 468
Abstract
A numerical study was carried out to analyze the phenomenon of natural convection in a porous medium saturated with nanofluid. In the study, the boundary element method was used for computational modeling. The fluid flow through a porous matrix is described using the [...] Read more.
A numerical study was carried out to analyze the phenomenon of natural convection in a porous medium saturated with nanofluid. In the study, the boundary element method was used for computational modeling. The fluid flow through a porous matrix is described using the Darcy–Brinkman–Forchheimer momentum equation. In addition, a mathematical model for nanofluids was used, which follows a single-phase approach and assumes that the nanoparticles within a fluid can be treated as an independent fluid with effective properties. A combination of single- and sub-domain boundary element methods was used to solve the relevant set of partial differential equations. The method was originally developed for pure flow scenarios, but also proves to be effective in the context of fluid flow through porous media. The results are calculated for the case of two- and three-dimensional square cavities. In addition to various values of dimensionless control parameters, including the porous Rayleigh number (Rap), Darcy number (Da), porosity (ϕ) and nanoparticle volume fractions (φ), the effects of the inclination angle of the cavity on the overall heat transfer (expressed by the Nusselt number (Nu)) and fluid flow characteristics were investigated. The results indicate a pronounced dependence of the overall heat transfer on the introduction of nanoparticles and inclination angle. The heat transfer in a two-dimensional cavity is increased for higher values of Darcy number in the conduction flow regime, while it is suppressed for lower values of Darcy number in the Darcy flow regime. In the case of a three-dimensional cavity, increasing the volume fraction of nanoparticles leads to a decrease in heat transfer, and furthermore, increasing the inclination angle of the cavity considerably weakens the buoyancy flow. Full article
(This article belongs to the Special Issue Computational Mechanics and Applied Mathematics)
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<p>Two-dimensional (2D) and three-dimensional (3D) geometric representations of the examined case.</p>
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<p>Temperature and velocity fields and their profiles for <math display="inline"><semantics> <mrow> <mi>D</mi> <mi>a</mi> <mo>=</mo> <msup> <mrow> <mn>10</mn> </mrow> <mrow> <mo>−</mo> <mn>6</mn> </mrow> </msup> </mrow> </semantics></math> at different values of <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>R</mi> <mi>a</mi> </mrow> <mrow> <mi>p</mi> </mrow> </msub> </mrow> </semantics></math>: (<b>a</b>) <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>R</mi> <mi>a</mi> </mrow> <mrow> <mi>p</mi> </mrow> </msub> <mo>=</mo> <mn>10</mn> </mrow> </semantics></math> (<math display="inline"><semantics> <mrow> <msub> <mrow> <mi>R</mi> <mi>a</mi> </mrow> <mrow> <mi>T</mi> </mrow> </msub> <mo>=</mo> <msup> <mrow> <mn>10</mn> </mrow> <mrow> <mn>7</mn> </mrow> </msup> </mrow> </semantics></math>), (<b>b</b>) <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>R</mi> <mi>a</mi> </mrow> <mrow> <mi>p</mi> </mrow> </msub> <mo>=</mo> <mn>100</mn> </mrow> </semantics></math> (<math display="inline"><semantics> <mrow> <msub> <mrow> <mi>R</mi> <mi>a</mi> </mrow> <mrow> <mi>T</mi> </mrow> </msub> <mo>=</mo> <msup> <mrow> <mn>10</mn> </mrow> <mrow> <mn>8</mn> </mrow> </msup> </mrow> </semantics></math>), (<b>c</b>) <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>R</mi> <mi>a</mi> </mrow> <mrow> <mi>p</mi> </mrow> </msub> <mo>=</mo> <mn>1000</mn> </mrow> </semantics></math> (<math display="inline"><semantics> <mrow> <msub> <mrow> <mi>R</mi> <mi>a</mi> </mrow> <mrow> <mi>T</mi> </mrow> </msub> <mo>=</mo> <msup> <mrow> <mn>10</mn> </mrow> <mrow> <mn>9</mn> </mrow> </msup> </mrow> </semantics></math>), <math display="inline"><semantics> <mrow> <mi>φ</mi> <mo>=</mo> <mn>0.05</mn> </mrow> </semantics></math> and <math display="inline"><semantics> <mrow> <mi>ϕ</mi> <mo>=</mo> <mn>0.4</mn> </mrow> </semantics></math>.</p>
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<p>Temperature and velocity fields and their profiles for <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>R</mi> <mi>a</mi> </mrow> <mrow> <mi>p</mi> </mrow> </msub> <mo>=</mo> <mn>1000</mn> </mrow> </semantics></math> at different values of <math display="inline"><semantics> <mrow> <mi>D</mi> <mi>a</mi> </mrow> </semantics></math>: (<b>a</b>) <math display="inline"><semantics> <mrow> <mi>D</mi> <mi>a</mi> <mo>=</mo> <msup> <mrow> <mn>10</mn> </mrow> <mrow> <mo>−</mo> <mn>2</mn> </mrow> </msup> </mrow> </semantics></math> (<math display="inline"><semantics> <mrow> <msub> <mrow> <mi>R</mi> <mi>a</mi> </mrow> <mrow> <mi>T</mi> </mrow> </msub> <mo>=</mo> <msup> <mrow> <mn>10</mn> </mrow> <mrow> <mn>5</mn> </mrow> </msup> </mrow> </semantics></math>), (<b>b</b>) <math display="inline"><semantics> <mrow> <mi>D</mi> <mi>a</mi> <mo>=</mo> <msup> <mrow> <mn>10</mn> </mrow> <mrow> <mo>−</mo> <mn>4</mn> </mrow> </msup> </mrow> </semantics></math> (<math display="inline"><semantics> <mrow> <msub> <mrow> <mi>R</mi> <mi>a</mi> </mrow> <mrow> <mi>T</mi> </mrow> </msub> <mo>=</mo> <msup> <mrow> <mn>10</mn> </mrow> <mrow> <mn>7</mn> </mrow> </msup> </mrow> </semantics></math>), (<b>c</b>) <math display="inline"><semantics> <mrow> <mi>D</mi> <mi>a</mi> <mo>=</mo> <msup> <mrow> <mn>10</mn> </mrow> <mrow> <mo>−</mo> <mn>6</mn> </mrow> </msup> </mrow> </semantics></math> (<math display="inline"><semantics> <mrow> <msub> <mrow> <mi>R</mi> <mi>a</mi> </mrow> <mrow> <mi>T</mi> </mrow> </msub> <mo>=</mo> <msup> <mrow> <mn>10</mn> </mrow> <mrow> <mn>9</mn> </mrow> </msup> </mrow> </semantics></math>), <math display="inline"><semantics> <mrow> <mi>φ</mi> <mo>=</mo> <mn>0.05</mn> </mrow> </semantics></math> and <math display="inline"><semantics> <mrow> <mi>ϕ</mi> <mo>=</mo> <mn>0.4</mn> </mrow> </semantics></math>.</p>
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<p>Temperature fields and streamlines at the midplane of 3D cavity for <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>R</mi> <mi>a</mi> </mrow> <mrow> <mi>p</mi> </mrow> </msub> <mo>=</mo> <mn>1000</mn> </mrow> </semantics></math>, <math display="inline"><semantics> <mrow> <mi>D</mi> <mi>a</mi> <mo>=</mo> <msup> <mrow> <mn>10</mn> </mrow> <mrow> <mo>−</mo> <mn>6</mn> </mrow> </msup> </mrow> </semantics></math> (<math display="inline"><semantics> <mrow> <msub> <mrow> <mi>R</mi> <mi>a</mi> </mrow> <mrow> <mi>T</mi> </mrow> </msub> <mo>=</mo> <msup> <mrow> <mn>10</mn> </mrow> <mrow> <mn>9</mn> </mrow> </msup> </mrow> </semantics></math>), <math display="inline"><semantics> <mrow> <mi>φ</mi> <mo>=</mo> <mn>0.05</mn> </mrow> </semantics></math>, <math display="inline"><semantics> <mrow> <mi>ϕ</mi> <mo>=</mo> <mn>0.4</mn> </mrow> </semantics></math> and different values of inclination angles: (<b>a</b>) <math display="inline"><semantics> <mrow> <mi>α</mi> <mo>=</mo> <mn>0</mn> <mo>°</mo> </mrow> </semantics></math> (<math display="inline"><semantics> <mrow> <mfenced open="|" close="|" separators="|"> <mrow> <msub> <mrow> <mi>ψ</mi> </mrow> <mrow> <mi>m</mi> <mi>a</mi> <mi>x</mi> </mrow> </msub> </mrow> </mfenced> <mo>=</mo> <mn>20.500</mn> </mrow> </semantics></math>), (<b>b</b>) <math display="inline"><semantics> <mrow> <mi>α</mi> <mo>=</mo> <mn>15</mn> <mo>°</mo> </mrow> </semantics></math> (<math display="inline"><semantics> <mrow> <mfenced open="|" close="|" separators="|"> <mrow> <msub> <mrow> <mi>ψ</mi> </mrow> <mrow> <mi>m</mi> <mi>a</mi> <mi>x</mi> </mrow> </msub> </mrow> </mfenced> <mo>=</mo> <mn>17.463</mn> </mrow> </semantics></math>), (<b>c</b>) <math display="inline"><semantics> <mrow> <mi>α</mi> <mo>=</mo> <mn>30</mn> <mo>°</mo> </mrow> </semantics></math>, <math display="inline"><semantics> <mrow> <mfenced open="|" close="|" separators="|"> <mrow> <msub> <mrow> <mi>ψ</mi> </mrow> <mrow> <mi>m</mi> <mi>a</mi> <mi>x</mi> </mrow> </msub> </mrow> </mfenced> <mo>=</mo> <mn>12.258</mn> </mrow> </semantics></math>) (<b>d</b>) <math display="inline"><semantics> <mrow> <mi>α</mi> <mo>=</mo> <mn>60</mn> <mo>°</mo> <mo>,</mo> <mo> </mo> <mfenced open="|" close="|" separators="|"> <mrow> <msub> <mrow> <mi>ψ</mi> </mrow> <mrow> <mi>m</mi> <mi>a</mi> <mi>x</mi> </mrow> </msub> </mrow> </mfenced> <mo>=</mo> <mn>2.600</mn> </mrow> </semantics></math>).</p>
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<p>Average Nu for <math display="inline"><semantics> <mrow> <mi>D</mi> <mi>a</mi> <mo>=</mo> <msup> <mrow> <mn>10</mn> </mrow> <mrow> <mo>−</mo> <mn>6</mn> </mrow> </msup> </mrow> </semantics></math>, <math display="inline"><semantics> <mrow> <mi>φ</mi> <mo>=</mo> <mn>0.0</mn> </mrow> </semantics></math>, various <math display="inline"><semantics> <mrow> <mi>α</mi> </mrow> </semantics></math> and (<b>a</b>) 2D geometry, various <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>R</mi> <mi>a</mi> </mrow> <mrow> <mi>p</mi> </mrow> </msub> </mrow> </semantics></math> and (<b>b</b>) 2D and 3D geometry at <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>R</mi> <mi>a</mi> </mrow> <mrow> <mi>p</mi> </mrow> </msub> <mo>=</mo> <mn>1000</mn> </mrow> </semantics></math>.</p>
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<p>Average Nu for 2D and 3D geometry, <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>R</mi> <mi>a</mi> </mrow> <mrow> <mi>p</mi> </mrow> </msub> <mo>=</mo> <mn>1000</mn> </mrow> </semantics></math>, various <math display="inline"><semantics> <mrow> <mi>α</mi> </mrow> </semantics></math> and <math display="inline"><semantics> <mrow> <mi>φ</mi> </mrow> </semantics></math> and (<b>a</b>,<b>b</b>) <math display="inline"><semantics> <mrow> <mi>D</mi> <mi>a</mi> <mo>=</mo> <msup> <mrow> <mn>10</mn> </mrow> <mrow> <mo>−</mo> <mn>2</mn> </mrow> </msup> </mrow> </semantics></math> and (<b>c</b>,<b>d</b>) <math display="inline"><semantics> <mrow> <mi>D</mi> <mi>a</mi> <mo>=</mo> <msup> <mrow> <mn>10</mn> </mrow> <mrow> <mo>−</mo> <mn>6</mn> </mrow> </msup> </mrow> </semantics></math>.</p>
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12 pages, 2033 KiB  
Article
Study of Steady Natural Convective Laminar Fluid Flow over a Vertical Cylinder Using Lie Group Transformation
by Anood M. Hanafy, Mina B. Abd-el-Malek and Nagwa A. Badran
Symmetry 2024, 16(12), 1558; https://doi.org/10.3390/sym16121558 - 21 Nov 2024
Viewed by 350
Abstract
Due to its critical importance in engineering applications, this study is motivated by the essential need to understand natural convection over a vertical cylinder with combined heat and mass transfer. Lie group symmetry transformations are used to analyze the thermal and velocity boundary [...] Read more.
Due to its critical importance in engineering applications, this study is motivated by the essential need to understand natural convection over a vertical cylinder with combined heat and mass transfer. Lie group symmetry transformations are used to analyze the thermal and velocity boundary layers of steady, naturally convective laminar fluid flow over the surface of a vertical cylinder. The one-parameter Lie group symmetry technique converts the system of governing equations into ordinary differential equations, which are then solved numerically using the implicit Runge–Kutta method. The effect of the Prandtl number, Schmidt number, and combined buoyancy ratio parameter on axial velocity, temperature, and concentration profiles are illustrated graphically. A specific range of parameter values was chosen to compare the obtained results with previous studies, demonstrating the accuracy of this method relative to others. The average Nusselt number and average Sherwood number are computed for various values of the Prandtl number Pr and Schmidt number Sc and presented in tables. It was found that the time required to reach a steady state for velocity and concentration profiles decreases as the Schmidt number Sc increases. Additionally, both temperature and concentration profiles decrease with an increase in the combined buoyancy ratio parameter N. Flow reversal and temperature defect with varying Prandtl numbers are also shown and discussed in detail. Full article
(This article belongs to the Special Issue Recent Advances of Symmetry in Computational Fluid Dynamics)
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Figure 1

Figure 1
<p>Schematic diagram of the physical model.</p>
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<p>Velocity profile for Pr = 0.7 and N = 2.</p>
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<p>Velocity profile for Pr = 0.7 and Sc = 0.16.</p>
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<p>Temperature profile for Pr = 0.7 and N = 2.</p>
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<p>Temperature profile for Pr = 0.7 and Sc = 0.16.</p>
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<p>Concentration profile for Pr = 0.7 and N = 2.</p>
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<p>Concentration profile for Pr = 0.7 and Sc = 0.16.</p>
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<p>Velocity profile for N = −0.35 and Sc = 0. 6.</p>
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<p>Temperature profile for N = −0.35 and Sc = 0.6.</p>
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<p>Concentration profile for N = −0.35 and Sc = 0.16.</p>
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<p>Heat transfer rate versus <span class="html-italic">Pr</span>.</p>
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<p>Mass transfer rate versus Sc.</p>
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14 pages, 1326 KiB  
Article
Microwave and Ultrasound Assisted Rotary Drying of Carrot: Analysis of Process Kinetics and Energy Intensity
by Dominik Mierzwa and Grzegorz Musielak
Appl. Sci. 2024, 14(22), 10676; https://doi.org/10.3390/app142210676 - 19 Nov 2024
Viewed by 462
Abstract
Convective drying is one of the most commonly employed preservation techniques for food. However, the use of high temperatures and extended drying times often leads to a reduction in product quality and increased energy consumption. To address these issues, hybrid processes combining convective [...] Read more.
Convective drying is one of the most commonly employed preservation techniques for food. However, the use of high temperatures and extended drying times often leads to a reduction in product quality and increased energy consumption. To address these issues, hybrid processes combining convective drying with more efficient methods are frequently employed. This study investigates the convective rotary drying of carrot (cv. Nantes), assisted by microwaves and ultrasound, using a hybrid rotary dryer. In total, four distinct drying programs—comprising one convective and three hybrid approaches—were evaluated. The study assessed drying kinetics, energy consumption, and product quality. The use of ultrasound increased the drying rate by 13%, microwaves by 112%, and microwaves and ultrasound together by 140%. The use of microwaves reduced energy consumption by 30%, whereas ultrasound resulted in a slight increase. All processes resulted in a significant reduction in water activity. Ultrasound decreased the color difference index, while microwaves increased it compared to convective drying. Full article
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Figure 1
<p>Scheme of the rotary hybrid dryer: 1—blower, 2—Airborne Ultrasound system (AUS) controller, 3—AUS amplifier, 4—microwave feeders, 5—heater, 6—pneumatic valve, 7a and 7b—air outlet, 8—pyrometer, 9—drum drive, 10—microwave generators, 11—balance, 12—rotating drum, 13—AUS transducer, 14—control unit, A—temperature and humidity sensor, B—temperature sensor.</p>
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<p>Evolution of dimensionless moisture content, <span class="html-italic">Y<sub>i</sub></span> (<b>a</b>); drying rate, <span class="html-italic">DR<sub>i</sub></span> (<b>b</b>); and temperature of the samples, <span class="html-italic">T</span>/<span class="html-italic">T*</span> (<b>c</b>), for each process.</p>
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<p>Average drying rate, <span class="html-italic">DR<sub>av</sub></span> and time, <span class="html-italic">DT<sub>av</sub></span> (<b>a</b>); and specific energy consumption, <span class="html-italic">SEC<sub>av</sub></span> (<b>b</b>) for each process.</p>
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<p>Average water activity, <span class="html-italic">a<sub>w</sub></span>, and color difference index, <span class="html-italic">dE</span>, for each process.</p>
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<p>Exemplary thermograms of samples dried in microwave–assisted processes: (<b>a</b>) CVMW and (<b>b</b>) CVMWUS at 140th minute of the processes.</p>
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23 pages, 3161 KiB  
Article
Dynamic Characterization and Optimization of Heat Flux and Thermal Efficiency of a Penetrable Moving Hemispherical Fin Embedded in a Shape Optimized Fe3O4-Ni/C6H18OSi2 Hybrid Nanofluid: L-IIIA Solution
by Ammembal Gopalkrishna Pai, Rekha G. Pai, Karthi Pradeep and Likith Raj
Symmetry 2024, 16(11), 1532; https://doi.org/10.3390/sym16111532 - 15 Nov 2024
Viewed by 924
Abstract
The present paper reports the theoretical results on the thermal performance of proposed Integrated Hybrid Nanofluid Hemi-Spherical Fin Model assuming a combination of Fe3O4-Ni/C6H18OSi2 hybrid nanofluid. The model leverages the concept of symmetrical [...] Read more.
The present paper reports the theoretical results on the thermal performance of proposed Integrated Hybrid Nanofluid Hemi-Spherical Fin Model assuming a combination of Fe3O4-Ni/C6H18OSi2 hybrid nanofluid. The model leverages the concept of symmetrical geometries and optimized nanoparticle shapes to enhance the heat flux, with a focus on symmetrical design applications in thermal engineering. The simulations are carried out by assuming a silicone oil as a base fluid, due to its exceptional stability in hot and humid conditions, enriched with superparamagnetic Fe3O4 and Ni nanoparticles to enhance the heat transfer capabilities, with the aim of contributing to the field of nanotechnology, electronics and thermal engineering, The focus of this work is to optimize the heat dissipation in systems that require high thermal efficiency and stability such as automotive cooling systems, aerospace components and power electronics. In addition, the study explores the influence of key parameters such as heat transfer coefficients and thermal conductivity that play an important role in improving the thermal performance of cooling systems. The overall thermal performance of the model is evaluated based on its heat flux and thermal efficiency. The study also examines the impact of the shape optimized nanoparticles in silicone oil by incorporating shape-factor in its modelling equations and proposes optimization of parameters to enhance the overall thermal performance of the system. Darcy’s flow model is used to analyse the key parameters in the system and study the thermal behaviour of the hybrid nanofluid within the fin by incorporating natural convection, temperature-dependent internal heat generation, and radiation effects. By using the similarity approach, the governing equations were reduced to non-linear ordinary differential equations and numerical solutions were obtained by using four-stage Lobatto-IIIA numerical technique due to its robust stability and convergence properties. This enables a systematic investigation of various influential parameters, including thermal conductivity, emissivity and heat transfer coefficients. Additionally, it stimulates interest among researchers in applying mathematical techniques to complex heat transfer systems, thereby contributing towards the development of highly efficient cooling system. Our findings indicate that there is a significant enhancement in the heat flux as well as improvement in the thermal efficiency due to the mixture of silicone oil and shape optimized nanoparticles, that was visualized through comprehensive graphical analysis. Quantitatively, the proposed model displays a maximum thermal efficiency of 57.5% for lamina shaped nanoparticles at Nc = 0.5, Nr = 0.2, Ng = 0.2 and Θa = 0.4. The maximum enhancement in the heat flux occurs when Nc doubles from 5 to 10 for m2 = 0.2 and Nr = 0.1. Optimal thermal performance is found for Nc, Nr and m2 values in the range 5 to 10, 0.2 to 0.4 and 0.4 to 0.8 respectively. Full article
(This article belongs to the Section Physics)
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Figure 1
<p>Schematic of the flow configuration of the proposed model.</p>
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<p>Variation of <math display="inline"><semantics> <mrow> <mi>Θ</mi> <mo>(</mo> <mi>X</mi> <mo>)</mo> </mrow> </semantics></math> along its axial distance.</p>
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<p>(<b>a</b>) Repercussion of <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>N</mi> </mrow> <mrow> <mi>c</mi> </mrow> </msub> </mrow> </semantics></math> on thermal profile. (<b>b</b>) Repercussion of <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>N</mi> </mrow> <mrow> <mi>c</mi> </mrow> </msub> </mrow> </semantics></math> on thermal gradient.</p>
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<p>(<b>a</b>) Repercussion of <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>N</mi> </mrow> <mrow> <mi>r</mi> </mrow> </msub> </mrow> </semantics></math> on thermal profile. (<b>b</b>) Repercussion of <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>N</mi> </mrow> <mrow> <mi>r</mi> </mrow> </msub> </mrow> </semantics></math> on thermal gradient.</p>
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<p>(<b>a</b>) Repercussion of <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>N</mi> </mrow> <mrow> <mi>r</mi> </mrow> </msub> </mrow> </semantics></math> on thermal profile. (<b>b</b>) Repercussion of <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>N</mi> </mrow> <mrow> <mi>r</mi> </mrow> </msub> </mrow> </semantics></math> on thermal gradient.</p>
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<p>(<b>a</b>) Repercussion of <span class="html-italic">n</span> on thermal profile. (<b>b</b>) Repercussion of <span class="html-italic">n</span> on thermal gradient.</p>
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<p>(<b>a</b>) Repercussion of <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>m</mi> </mrow> <mrow> <mn>2</mn> </mrow> </msub> </mrow> </semantics></math> on thermal profile. (<b>b</b>) Repercussion of <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>m</mi> </mrow> <mrow> <mn>2</mn> </mrow> </msub> </mrow> </semantics></math> on thermal gradient.</p>
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<p>(<b>a</b>) Repercussion of <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>Θ</mi> </mrow> <mrow> <mi>a</mi> </mrow> </msub> </mrow> </semantics></math> on thermal profile. (<b>b</b>) Repercussion of <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>Θ</mi> </mrow> <mrow> <mi>a</mi> </mrow> </msub> </mrow> </semantics></math> on thermal gradient.</p>
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<p>(<b>a</b>) Repercussion of <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>N</mi> </mrow> <mrow> <mi>g</mi> </mrow> </msub> </mrow> </semantics></math> on thermal profile. (<b>b</b>) Repercussion of <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>N</mi> </mrow> <mrow> <mi>g</mi> </mrow> </msub> </mrow> </semantics></math> on thermal gradient.</p>
Full article ">Figure 8 Cont.
<p>(<b>a</b>) Repercussion of <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>N</mi> </mrow> <mrow> <mi>g</mi> </mrow> </msub> </mrow> </semantics></math> on thermal profile. (<b>b</b>) Repercussion of <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>N</mi> </mrow> <mrow> <mi>g</mi> </mrow> </msub> </mrow> </semantics></math> on thermal gradient.</p>
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<p>Repercussion of Shape-factor on thermal profile.</p>
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<p>Temperature profile for spherical shape nanoparticles and various values of <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>N</mi> </mrow> <mrow> <mi>c</mi> </mrow> </msub> </mrow> </semantics></math>.</p>
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<p>Temperature profile for blade shape nanoparticles and various values of <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>N</mi> </mrow> <mrow> <mi>c</mi> </mrow> </msub> </mrow> </semantics></math>.</p>
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<p>Temperature profile for lamina shape nanoparticles and various values of <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>N</mi> </mrow> <mrow> <mi>c</mi> </mrow> </msub> </mrow> </semantics></math>.</p>
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<p>Repercussion of <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>N</mi> </mrow> <mrow> <mi>r</mi> </mrow> </msub> <mo>,</mo> <mo> </mo> <msub> <mrow> <mi>m</mi> </mrow> <mrow> <mn>2</mn> </mrow> </msub> </mrow> </semantics></math> on <math display="inline"><semantics> <mrow> <msup> <mrow> <mo>−</mo> <mi>Θ</mi> </mrow> <mrow> <mo>′</mo> </mrow> </msup> <mfenced separators="|"> <mrow> <mn>0</mn> </mrow> </mfenced> </mrow> </semantics></math> for various values of <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>N</mi> </mrow> <mrow> <mi>c</mi> </mrow> </msub> </mrow> </semantics></math>.</p>
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<p>Repercussion of <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>Θ</mi> </mrow> <mrow> <mi>a</mi> </mrow> </msub> </mrow> </semantics></math>, <span class="html-italic">n</span> on <math display="inline"><semantics> <mrow> <msup> <mrow> <mo>−</mo> <mi>Θ</mi> </mrow> <mrow> <mo>′</mo> </mrow> </msup> <mfenced separators="|"> <mrow> <mn>0</mn> </mrow> </mfenced> </mrow> </semantics></math> for various values of <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>N</mi> </mrow> <mrow> <mi>g</mi> </mrow> </msub> </mrow> </semantics></math>.</p>
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<p>Repercussion of <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>N</mi> </mrow> <mrow> <mi>r</mi> </mrow> </msub> </mrow> </semantics></math> and shape factor on <span class="html-italic">η</span> for various values of <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>N</mi> </mrow> <mrow> <mi>c</mi> </mrow> </msub> </mrow> </semantics></math>.</p>
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<p>Repercussion of <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>Θ</mi> </mrow> <mrow> <mi>a</mi> </mrow> </msub> </mrow> </semantics></math> and shape factor on <span class="html-italic">η</span> for various values of <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>N</mi> </mrow> <mrow> <mi>g</mi> </mrow> </msub> </mrow> </semantics></math>.</p>
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<p>% Enhancement in heat flux with two-fold rise in <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>N</mi> </mrow> <mrow> <mi>c</mi> </mrow> </msub> </mrow> </semantics></math> for various values of <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>m</mi> </mrow> <mrow> <mn>2</mn> </mrow> </msub> </mrow> </semantics></math>,<math display="inline"><semantics> <mrow> <msub> <mrow> <mi>N</mi> </mrow> <mrow> <mi>r</mi> </mrow> </msub> </mrow> </semantics></math>.</p>
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<p>% Enhancement in heat flux with two-fold rise in <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>m</mi> </mrow> <mrow> <mn>2</mn> </mrow> </msub> </mrow> </semantics></math>, <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>N</mi> </mrow> <mrow> <mi>r</mi> </mrow> </msub> </mrow> </semantics></math> for various values of <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>N</mi> </mrow> <mrow> <mi>c</mi> </mrow> </msub> </mrow> </semantics></math>.</p>
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16 pages, 17000 KiB  
Technical Note
Quasi-Linear Convective Systems in Catalonia Detected Through Radar and Lightning Data
by Tomeu Rigo and Carme Farnell
Remote Sens. 2024, 16(22), 4262; https://doi.org/10.3390/rs16224262 - 15 Nov 2024
Viewed by 490
Abstract
Quasi-Linear Convective Systems (QLCSs) are a type of Mesoscale Convective System characterised by their linear shape and association with severe weather phenomena (such as hail, tornadoes, or wind gusts). This study deals with the application of a technique that consists of combinations of [...] Read more.
Quasi-Linear Convective Systems (QLCSs) are a type of Mesoscale Convective System characterised by their linear shape and association with severe weather phenomena (such as hail, tornadoes, or wind gusts). This study deals with the application of a technique that consists of combinations of radar and lightning data to identify QLCS in Catalonia (the northeast region of the Iberian Peninsula) and the surrounding areas. Even with the limitation of reduced coverage, the technique has revealed efficiency in identifying the systems affecting the region of interest. Concretely, we have detected twenty cases for 2013–2023, significantly less than for other parts of Central Europe but similar to the global values for the whole continent and the United States of America. All cases occurred during the warm season and are divided into diurnal and nocturnal cases with different behaviours. Full article
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<p>The area of study (shaded rectangle) that comprises Catalonia and its surrounding area. The blue and red dots indicate the location of the lightning detectors and radar of the Servei Meteorològic de Catalunya networks, respectively.</p>
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<p>Cloud-to-ground (red dots correspond to positive or +CG while blue points indicate negative or −CG) flashes detected between 17.00 and 18.00 UTC of 19 October 2018.</p>
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<p>Radar composite of the CAPPI at 1 km height at 18.00 UTC of 19 October 2018. The dashed bold line delimits the convective region associated with a QLCS after applying the methodology.</p>
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<p>Lightning structure (shaded green area) at 18.00 UTC of 19 October 2018.</p>
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<p>The structure (shaded brown area) identified after applying the algorithm to the radar imagery at 18.00 UTC of 19 October 2018. This structure verified three of the four points introduced in the text: intensity, length and linearity. If the structure lasted for more than three hours, then it could be labelled as a QLCS.</p>
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<p>Composite of the radar data (shaded areas), lightning flashes (blue and red dots), and ellipses indicating the QLCS identification for different times (14.00, 16.00, 18.00, and 20.00 UTC) of 19 October 2018.</p>
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<p>Scheme of the process followed for identifying the QLCS in the area of study.</p>
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<p>Spatial density of the QLCS and the simplified paths of each one (purple lines).</p>
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<p>Sea and land influence at the beginning and ending of the QLCS.</p>
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<p>Mean propagation vector for the set of QLCSs detected.</p>
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32 pages, 16212 KiB  
Article
Modeling and Monitoring of the Tool Temperature During Continuous and Interrupted Turning with Cutting Fluid
by Hui Liu, Markus Meurer and Thomas Bergs
Metals 2024, 14(11), 1292; https://doi.org/10.3390/met14111292 - 15 Nov 2024
Viewed by 520
Abstract
In metal cutting, a large amount of mechanical energy converts into heat, leading to a rapid temperature rise. Excessive heat accelerates tool wear, shortens tool life, and hinders chip breakage. Most existing thermal studies have focused on dry machining, with limited research on [...] Read more.
In metal cutting, a large amount of mechanical energy converts into heat, leading to a rapid temperature rise. Excessive heat accelerates tool wear, shortens tool life, and hinders chip breakage. Most existing thermal studies have focused on dry machining, with limited research on the effects of cutting fluids. This study addresses that gap by investigating the thermal behavior of cutting tools during continuous and interrupted turning with cutting fluid. Tool temperatures were first measured experimentally by embedding a thermocouple in a defined position within the tool. These experimental results were then combined with simulations to evaluate temperature changes, heat partition, and cooling efficiency under various cutting conditions. This work presents novel analytical and numerical models. Both models accurately predicted the temperature distribution, with the analytical model offering a computationally more efficient solution for industrial use. Experimental results showed that tool temperature increased with cutting speed, feed, and cutting depth, but the heat partition into the tool decreased. In continuous cutting, cooling efficiency was mainly influenced by feed rate and cutting depth, while cutting speed had minimal impact. Interrupted cutting improved cooling efficiency, as the absence of chips and workpieces during non-cutting phases allowed the cutting fluid to flow over the tool surface at higher speeds. The convective cooling coefficient was determined through inverse calibration. A comparative analysis of the analytical and numerical simulations revealed that the analytical model can underestimate the temperature distribution for complex tool structures, particularly non-orthogonal hexahedral geometries. However, the relative error remained consistent across different cutting conditions, with less error observed in interrupted cutting compared to continuous cutting. These findings highlight the potential of analytical models for optimizing thermal management in metal turning processes. Full article
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<p>Temperature measuring hole and installation position of the sensors.</p>
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<p>Experimental setup for measuring the tool temperature during turning under cutting fluid conditions.</p>
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<p>Microstructure, mechanical properties, and chemical composition of AISI 1045 workpiece.</p>
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<p>AISI 1045 specimen for interrupted turning according to VDI 3324.</p>
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<p>Setup of the heat source and boundary conditions of the numerical temperature model.</p>
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<p>Setup of the heat source and boundary conditions of the analytcial temperature model.</p>
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<p>Process force components measured during continuous turning with and without cutting fluid.</p>
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<p>Tool–chip contact thickness and contact area measured using an optical microscope.</p>
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<p>Chip shapes under different cutting conditions during continuous dry turning.</p>
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<p>Simulated and measured tool temperature for continuous dry turning.</p>
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<p>Heat partition into the tool for continuous turning without cutting fluid.</p>
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<p>Chip shapes under different cutting conditions during continuous turning with cutting fluid (<math display="inline"><semantics> <msub> <mi>p</mi> <mrow> <mi>c</mi> <mi>f</mi> </mrow> </msub> </semantics></math> = 80 bar).</p>
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<p>Simulated and measured tool temperature for continuous turning with cutting fluid (<math display="inline"><semantics> <msub> <mi>p</mi> <mrow> <mi>c</mi> <mi>f</mi> </mrow> </msub> </semantics></math> = 80 bar).</p>
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<p>Comparison of the convective cooling coefficient of the tool rake face for continuous turning, determined by the tool temperature using the numerical and analytical models.</p>
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<p>Tool rake face temperature at <math display="inline"><semantics> <msub> <mi>a</mi> <mi>p</mi> </msub> </semantics></math> = 2.5 mm, continuous turning with cutting fluid.</p>
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<p>Process force components measured during interrupted turning with and without cutting fluid.</p>
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<p>Example of the temperature development from measurement and simulation, and heat input into the tool for the simulation. (<math display="inline"><semantics> <msub> <mi>v</mi> <mi>c</mi> </msub> </semantics></math> = 70 m/min, <math display="inline"><semantics> <msub> <mi>a</mi> <mi>p</mi> </msub> </semantics></math> = 2.5 mm, <span class="html-italic">f</span> = 0.3 mm).</p>
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<p>Temperature fluctuations from measurement and simulation for interrupted turning without cutting fluid.</p>
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<p>Heat partition into the tool for interrupted turning without cutting fluid.</p>
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<p>Temperature fluctuations from measurement and simulation for interrupted turning with cutting fluid (<math display="inline"><semantics> <msub> <mi>p</mi> <mrow> <mi>c</mi> <mi>f</mi> </mrow> </msub> </semantics></math> = 10 bar).</p>
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<p>Convective cooling coefficient of the tool rake face for interrupted turning, determined by the tool temperature using the numerical model.</p>
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<p>Tool rake face temperature at <math display="inline"><semantics> <msub> <mi>a</mi> <mi>p</mi> </msub> </semantics></math> = 0.8 mm, continuous turning without cutting fluid.</p>
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<p>Tool rake face temperature at <math display="inline"><semantics> <msub> <mi>a</mi> <mi>p</mi> </msub> </semantics></math> = 2.5 mm, continuous turning without cutting fluid.</p>
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<p>Tool rake face temperature at <math display="inline"><semantics> <msub> <mi>a</mi> <mi>p</mi> </msub> </semantics></math> = 0.8 mm, continuous turning with cutting fluid.</p>
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<p>Chip shapes during interrupted turning with and without cutting fluid.</p>
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25 pages, 11175 KiB  
Article
Performance Evaluation of Satellite Precipitation Products During Extreme Events—The Case of the Medicane Daniel in Thessaly, Greece
by Dimitrios Katsanos, Adrianos Retalis, John Kalogiros, Basil E. Psiloglou, Nikolaos Roukounakis and Marios Anagnostou
Remote Sens. 2024, 16(22), 4216; https://doi.org/10.3390/rs16224216 - 12 Nov 2024
Viewed by 600
Abstract
Mediterranean tropical-like cyclones, or Medicanes, present unique challenges for precipitation estimations due to their rapid development and localized impacts. This study evaluates the performance of satellite precipitation products in capturing the precipitation associated with Medicane Daniel that struck Greece in early September 2023. [...] Read more.
Mediterranean tropical-like cyclones, or Medicanes, present unique challenges for precipitation estimations due to their rapid development and localized impacts. This study evaluates the performance of satellite precipitation products in capturing the precipitation associated with Medicane Daniel that struck Greece in early September 2023. Utilizing a combination of ground-based observations, reanalysis, and satellite-derived precipitation data, we assess the accuracy and spatial distribution of the satellite precipitation products GPM IMERG, GSMaP, and CMOPRH during the cyclone event, which formed in the Eastern Mediterranean from 4 to 7 September 2023, hitting with unprecedented, enormous amounts of rainfall, especially in the region of Thessaly in central Greece. The results indicate that, while satellite precipitation products demonstrate overall skill in capturing the broad-scale precipitation patterns associated with Medicane Daniel, discrepancies exist in estimating localized intense rainfall rates, particularly in convective cells within the cyclone’s core. Indeed, most of the satellite precipitation products studied in this work showed a misplacement of the highest amounts of associated rainfall, a significant underestimation of the event, and large unbiased root mean square error in the areas of heavy precipitation. The total precipitation field from IMERG Late Run and CMORPH showed the smallest bias (but significant) and good temporal correlation against rain gauges and ERA5-Land reanalysis data as a reference, while IMERG Final Run and GSMaP showed the largest underestimation and overestimation, respectively. Further investigation is needed to improve the representation of extreme precipitation events associated with tropical-like cyclones in satellite precipitation products. Full article
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<p>Global Forecast System (GFS) reanalysis of 500 hpa geopotential height during 4–7 September 2023 (dates are shown in images), available at <a href="https://www.wetterzentrale.de/de/reanalysis.php?model=cfsr" target="_blank">https://www.wetterzentrale.de/de/reanalysis.php?model=cfsr</a> (accessed on 12 March 2024).</p>
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<p>Satellite images of the evolution (4 and 5 September 2023, upper left and right; 6 and 7 September 2023, lower left and right) of Medicane Daniel (Meteosat SEVIRI), available at <a href="https://pics.eumetsat.int/viewer/index.html" target="_blank">https://pics.eumetsat.int/viewer/index.html</a> (accessed on 21 July 2024).</p>
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<p>Sea surface temperature from 3 to 6 September 2023 according to Copernicus Marine Data, available at <a href="https://data.marine.copernicus.eu/product/SST_MED_SST_L3S_NRT_OBSERVATIONS_010_012" target="_blank">https://data.marine.copernicus.eu/product/SST_MED_SST_L3S_NRT_OBSERVATIONS_010_012</a> (accessed on 12 March 2024).</p>
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<p>Comparison of total accumulated rainfall from (<b>a</b>) ERA5-Land and (<b>b</b>) XPOL radar for the time period and the area of radar operation, and (<b>c</b>) scatter plot of daily accumulated rainfall from ERA5-Land and XPOL radar. The red line is the equality line.</p>
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<p>Accumulated rainfall from (<b>a</b>) ERA5-Land and (<b>b</b>) ERA5 in the region of Thessaly in the time period of operation of the XPOL radar.</p>
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<p>(<b>a</b>) Observed flood extent and (<b>b</b>) water extent on 10 September 2023 in the region of Thessaly. Data are from Copernicus Emergency Management Service (©2024 European Union), event EMSR962, based on GeoEye-1/VHR2 satellite data (accessed on 24 April 2024).</p>
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<p>Location of weather stations used in the study and cities/areas affected by Medicane Daniel (water extent on 10 September 2023 shown with light blue line).</p>
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<p>Cumulative rainfall and 10 min precipitation rate recorded by NOA stations during the event, calculated from high-resolution 1 min measurements.</p>
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<p>Cumulative rainfall and 30 min precipitation rate of TOEV stations during the event.</p>
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<p>Spatial distribution of IMERG (version 07B), GSMaP (version 8), CMOPRH (version 2.0), and ERA5-Land total accumulated precipitation during the event.</p>
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<p>Spatial distribution of IMERG (version 07B), GSMaP (version 8), CMOPRH (version 2.0), and ERA5-Land total accumulated precipitation during the event.</p>
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<p>Same as <a href="#remotesensing-16-04216-f010" class="html-fig">Figure 10</a>, but for IMERG L version 06D and CMORPH version 1.0.</p>
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<p>Thirty-minute cumulative precipitation for the Klokotos, Larissa, and Stavros stations, CMORPH, GSMap, IMERG, and ERA5-Land, during the event. The results for the rest of TOEV stations are similar to those obtained by Stavros station (see <a href="#remotesensing-16-04216-f009" class="html-fig">Figure 9</a>).</p>
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<p>Spatial distribution of relative bias between the satellite precipitation products and ERA5-Land.</p>
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<p>Spatial distribution of unbiased RMSE between the satellite precipitation products and ERA5-Land.</p>
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<p>Spatial distribution of unbiased RMSE between the satellite precipitation products and ERA5-Land.</p>
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<p>Spatial distribution of temporal correlation between the satellite precipitation products and ERA5-Land.</p>
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<p>Spatial distribution of temporal correlation between the satellite precipitation products and ERA5-Land.</p>
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16 pages, 10592 KiB  
Article
Cu Pillar Electroplating Using a Synthetic Polyquaterntum Leveler and Its Coupling Effect on SAC305/Cu Solder Joint Voiding
by Wenjie Li, Zhe Li, Fang-Yuan Zeng, Qi Zhang, Liwei Guo, Dan Li, Yong-Hui Ma and Zhi-Quan Liu
Materials 2024, 17(22), 5405; https://doi.org/10.3390/ma17225405 - 5 Nov 2024
Viewed by 527
Abstract
With the advancement of high-integration and high-density interconnection in chip manufacturing and packaging, Cu bumping technology in wafer- and panel- level packaging is developed to micrometer-sized structures and pitches to accommodate increased I/O numbers on high-end integrated circuits. Driven by this industrial demand, [...] Read more.
With the advancement of high-integration and high-density interconnection in chip manufacturing and packaging, Cu bumping technology in wafer- and panel- level packaging is developed to micrometer-sized structures and pitches to accommodate increased I/O numbers on high-end integrated circuits. Driven by this industrial demand, significant efforts have been dedicated to Cu electroplating techniques for improved pillar shape control and solder joint reliability, which substantially depend on additive formulations and electroplating parameters that regulate the growth morphology, crystal structure, and impurity incorporation in the process of electrodeposition. It is necessary to investigate the effect of an additive on Cu pillar electrodeposition, and to explore the Kirkendall voids formed during the reflowing process, which may result from the additive-induced impurity in the electrodeposited Cu pillars. In this work, a self-synthesized polyquaterntum (PQ) was made out with dual suppressor and leveler effects, and was combined with prototypical accelerator bis- (sodium sulfopropyl)-disulfide (SPS) for patterned Cu pillar electroplating. Then, Sn96.5/Ag3.0/Cu0.5 (SAC305) solder paste were screen printed on electroplated Cu pillars and undergo reflow soldering. Kirkendall voids formed at the joint interfaces were observed and quantified by SEM. Finally, XRD, and EBSD were employed to characterize the microstructure under varying conditions. The results indicate that PQ exhibits significant suppressive and levelled properties with the new structure of both leveler and suppressor. However, its effectiveness is dependent on liquid convection. PQ and SPS work synergistically, influencing the polarization effect in various convective environments. Consequently, uneven adsorption occurs on the surface of the Cu pillars, which results in more Kirkendall voids at the corners than at the center along the Cu pillar surface. Full article
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<p>(<b>a</b>) Structural formula of PQ. Electrochemical measurements: (<b>b</b>) CV curves in presence of 0~200 mL/L PQ; (<b>c</b>) LSV curves in presence of 0~200 mL/L PQ, WE rotating speed: 1000 rpm; (<b>d</b>) LSV curves in presence of 0~200 mL/L PQ, WE rotating speed: 100 rpm; (<b>e</b>) E-t curves at a current density of 5 ASD with sequential addition of 10 mL/L SPS and 10~200 mL/L PQ; (<b>f</b>) E-t curves at a current density of 5 ASD with sequential addition of 200 mL/L SPS and 5~40 mL/L SPS.</p>
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<p>Schematic illustrations of PQ: (<b>a</b>) HOMO and LUMO; (<b>b</b>) ESP mapping and (<b>c</b>) distribution. (N blue, C yellow, O red, H white).</p>
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<p>Molecular dynamic simulations of PQ. (<b>a</b>) 0 Ps; (<b>b</b>) 100 Ps; (<b>c</b>) 300 Ps; (<b>d</b>) 500 Ps.</p>
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<p>SEM surface morphologies of Cu pillars electroplated at 5 ASD with (<b>a</b>,<b>a’</b>) 10 mL/L SPS and 20 mL/L PQ; (<b>b</b>,<b>b’</b>) 10 mL/L SPS and 200 mL/L PQ; (<b>c</b>,<b>c’</b>) 20 mL/L SPS and 200 mL/L PQ. (<b>a</b>–<b>c</b>) magnification ×5000; (<b>a’</b>–<b>c’</b>) magnification ×20,000.</p>
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<p>SEM cross-sectional morphologies of Cu pillars electroplated at 5 ASD with (<b>a</b>,<b>a’</b>) 10 mL/L SPS and 20 mL/L PQ; (<b>b</b>,<b>b’</b>) 10 mL/L SPS and 200 mL/L PQ; (<b>c</b>,<b>c’</b>) 20 mL/L SPS and 200 mL/L PQ. (<b>a</b>–<b>c</b>) magnification ×100; (<b>a’</b>–<b>c’</b>) magnification ×500.</p>
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<p>SEM cross-sectional morphologies of SAC305/Cu jointing interfaces on a Cu pillar bump after thermal aging at 150 °C for (<b>a</b>–<b>c</b>) 96 h and (<b>d</b>–<b>f</b>) 168 h.</p>
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<p>SEM cross-sectional morphologies of SAC305/Cu jointing interfaces on a Cu pillar bump after thermal aging at 200 °C for (<b>a</b>–<b>c</b>) 96 h and (<b>d</b>–<b>f</b>) 168 h.</p>
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<p>(<b>a</b>) XRD patterns of Cu films electroplated with different electroplating baths; (<b>b</b>) texture coefficients plots.</p>
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<p>EBSD test diagram: (<b>a</b>,<b>b</b>) BC diagrams at different locations; (<b>a’</b>,<b>b’</b>) corresponding grain orientation diagram; (<b>a’’</b>,<b>b’’</b>) corresponding grain size distribution map; (<b>a’’’</b>,<b>b’’’</b>) grain boundary angle distribution; (<b>c</b>) shooting position diagram. EBSD results were obtained at the normal direction (ND) of the samples.</p>
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26 pages, 4500 KiB  
Article
Steady-State Temperature Prediction for Cluster-Laid Tunnel Cables Based on Self-Modeling in Natural Convection
by Yingying Zhao, Wenrong Si, Chenzhao Fu, Chenhan Yang and Jian Yang
Energies 2024, 17(21), 5510; https://doi.org/10.3390/en17215510 - 4 Nov 2024
Viewed by 567
Abstract
Accurate temperature prediction of the operating tunnel cable is crucial for its safe and efficient function. To achieve a rapid and accurate prediction of the steady-state temperature of the tunnel cable, the self-modeling pattern in natural convection on the cable surface in the [...] Read more.
Accurate temperature prediction of the operating tunnel cable is crucial for its safe and efficient function. To achieve a rapid and accurate prediction of the steady-state temperature of the tunnel cable, the self-modeling pattern in natural convection on the cable surface in the rectangular tunnel is investigated, and the self-modeling method for the convective heat transfer coefficient calculation is proposed. A thermal circuit model for single cables is further established to predict the cable core temperature, and the model is extended to predict the cluster-laid cable core temperature based on the combined method. The results show that when the tunnel size is neglected, the maximum relative deviation of the convective heat transfer coefficient between the self-modeling method and the finite element simulation is only 1.78% in the studied cases, indicating that the natural convection on the cable surface approximately satisfies the self-modeling method. Additionally, applying the self-modeling method to the thermal circuit can accurately predict the temperature of the single cable core. Furthermore, for the three-phase four-circuit cable, the maximum deviation between the temperature prediction results and the finite element results is within 2 K in the studied cases, which verifies the predictive accuracy of the combined method for the cluster-laid tunnel cable. Full article
(This article belongs to the Section F6: High Voltage)
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<p>Two-dimensional physical model of the single-buried cable in the rectangular tunnel: (<b>a</b>) Physical model of the single-buried tunnel cable; (<b>b</b>) The structure of the cable.</p>
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<p>Steady–state thermal circuit model for the single tunnel cable.</p>
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<p>The layout of the three-phase four-circuit tunnel cable.</p>
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<p>Steady–state temperature prediction method for the three–phase single–circuit tunnel cable core based on the correction factor <span class="html-italic">C</span><sub>1</sub>.</p>
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<p>Steady-state temperature prediction method for the single-phase four-circuit tunnel cable core based on the thermal resistance <span class="html-italic">R</span><sub>m</sub> under a mutual heating effect.</p>
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<p>The combined process for solving for the steady-state temperature of the three-phase four-circuit cable core.</p>
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<p>The computational grid for the single tunnel cable.</p>
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<p>The variation in the natural convective heat transfer coefficient <span class="html-italic">h</span> on the cable surface with the current <span class="html-italic">I</span> under different tunnel sizes.</p>
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<p>The distribution of the air streamlines in the tunnel at different aspect ratios <span class="html-italic">H</span>/<span class="html-italic">L</span> (<span class="html-italic">I</span> = 1000 A, <span class="html-italic">HL</span> = 9 m<sup>2</sup>): (<b>a</b>) <span class="html-italic">H</span>/<span class="html-italic">L</span> = 0.8; (<b>b</b>) <span class="html-italic">H</span>/<span class="html-italic">L</span> = 1.0; (<b>c</b>) <span class="html-italic">H</span>/<span class="html-italic">L</span> = 1.2.</p>
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<p>The distribution of the air streamlines and isotherms around the cable in the tunnel at different aspect ratios <span class="html-italic">H</span>/<span class="html-italic">L</span> (<span class="html-italic">I</span> = 1000 A, <span class="html-italic">HL</span> = 9 m<sup>2</sup>): (<b>a</b>) <span class="html-italic">H</span>/<span class="html-italic">L</span> = 0.8; (<b>b</b>) <span class="html-italic">H</span>/<span class="html-italic">L</span> = 1.0; (<b>c</b>) <span class="html-italic">H</span>/<span class="html-italic">L</span> = 1.2.</p>
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<p>The distribution of the cosine values of the field synergy angle between the air streamlines and isotherms around the cable in the tunnel at different aspect ratios <span class="html-italic">H</span>/<span class="html-italic">L</span> (<span class="html-italic">I</span> = 1000 A, <span class="html-italic">HL</span> = 9 m<sup>2</sup>): (<b>a</b>) <span class="html-italic">H</span>/<span class="html-italic">L</span> = 0.8; (<b>b</b>) <span class="html-italic">H</span>/<span class="html-italic">L</span> = 1.0; (<b>c</b>) <span class="html-italic">H</span>/<span class="html-italic">L</span> = 1.2.</p>
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<p>Deviations between natural convective heat transfer coefficient calculated by self-modeling method and finite element method for single tunnel cable core in different cases.</p>
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<p>The solving process of the steady-state thermal circuit model for single tunnel cable based on the self-modeling method.</p>
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<p>Deviations between steady-state temperature calculated by thermal circuit model and finite element method for single tunnel cable core in different cases.</p>
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<p>The air temperature rise Δ<span class="html-italic">T</span><sub>ai</sub> under the individual operation of circuits 2 to 4 (<span class="html-italic">i</span> = 2, 3, 4).</p>
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<p>Physical model of the three-phase four-circuit tunnel cable in the application example.</p>
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14 pages, 2377 KiB  
Article
Severe Convection at Burgas Airport: Case Study 17 September 2022
by Bilyana Kostashki, Rosen Penchev and Guergana Guerova
Remote Sens. 2024, 16(21), 4012; https://doi.org/10.3390/rs16214012 - 29 Oct 2024
Viewed by 528
Abstract
Convection monitoring and forecasting are crucial for air traffic management as they can lead to the development of intense thunderstorms and hazards such as severe turbulence and icing, lightning activity, microbursts and hail that affect aviation safety. The airport of Burgas is located [...] Read more.
Convection monitoring and forecasting are crucial for air traffic management as they can lead to the development of intense thunderstorms and hazards such as severe turbulence and icing, lightning activity, microbursts and hail that affect aviation safety. The airport of Burgas is located in southeast Bulgaria on the Black Sea coast and occurrences of intense thunderstorms are mainly observed in the warm season between May and September. This work presents an analysis of severe convection over southeast Bulgaria on 17 September 2022. In the late afternoon, a gust front was formed that reached the Burgas airport with a wind speed exceeding 45 m/s, the record for the past 50 years, damaging the instrument landing system of the airport. To analyse the severe weather conditions, we combine state-of-the-art observations from satellite and radar with the upper-air sounding and surface. The studied period was dominated by the presence of a very unstable air mass over southeast Bulgaria ahead of the atmospheric front. As convection developed and moved east towards Burgas, it had four characteristics of severe deep convection, including gravitational waves at the overshooting cloud top, a cold U-shape, a flanking line and a cloud top temperature below −70 °C. The positive integrated water vapour (IWV) rate of change preceded the lightning activity peak by 30 min. Analysis of integrated vapour transport (IVT) gives higher values by a factor of two compared to climatology associated with the atmospheric river covering the eastern Mediterranean sea. Full article
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<p>Map of Bulgaria and position of Staro Selo GNSS station (black circle), Varna weather radar (blue circle) and Burgas airport (red circle).</p>
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<p>(<b>a</b>) Mean sea level pressure (black lines) at 12:00 UTC on 17 September 2022. (<b>b</b>) Thickness chart at 12:00 UTC on 17 September 2022, with 500 hPa geopotential height (black line), 500 hPa isotherm (dashed line) and thickness of the air layer between 1000 and 500 hPa (colours).</p>
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<p>Skew-t thermodiagram at Burgas airport on 17 September at 12:00 UTC.</p>
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<p>13:26 UTC Mode-S (<b>a</b>) hodograph (blue line) from surface (black arrow) to 2500 m (black arrow in circle) and (<b>b</b>) vertical wind data.</p>
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<p>Radar reflectivity at 14:00 UTC. (<b>a</b>) Radar reflectivity cross-section at 2 km height (dBz) and (<b>b</b>) Z max product from Varna weather radar.</p>
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<p>MSG images of (<b>a</b>) 6.2 <math display="inline"><semantics> <mi mathvariant="sans-serif">μ</mi> </semantics></math>m water vapour at 12:30 UTC and (<b>b</b>) 6.2 <math display="inline"><semantics> <mi mathvariant="sans-serif">μ</mi> </semantics></math>m water vapour at 13:30 UTC. (<b>c</b>) “sandwich” satellite product for East Bulgaria at 13:30 UTC with shown storm elements.</p>
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<p>Detected lightning by LINET at (<b>a</b>) 12:30 UTC and (<b>b</b>) 13:30 UTC.</p>
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<p>(<b>a</b>) IWV values (black line with dots) between 10:00 and 15:00 UTC and number of lightning strikes (grey bars). (<b>b</b>) IWV gradient every 15 min vs. number of lightning strikes.</p>
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<p>(<b>a</b>) IWV values (black line with dots) between 10:00 and 15:00 UTC and number of lightning strikes (grey bars). (<b>b</b>) IWV gradient every 15 min vs. number of lightning strikes.</p>
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<p>(<b>a</b>) Map of IVT index on 17 September 2022 at 12:00 UTC. (<b>b</b>) Mean IVT index for 12:00 UTC on 17 September 1992–2022. (<b>c</b>) IVT anomaly for 12:00 UTC on 17 September 2022. Values of 250 kg/ms are shown by red isoline.</p>
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<p>(<b>a</b>) Map of IVT index on 17 September 2022 at 12:00 UTC. (<b>b</b>) Mean IVT index for 12:00 UTC on 17 September 1992–2022. (<b>c</b>) IVT anomaly for 12:00 UTC on 17 September 2022. Values of 250 kg/ms are shown by red isoline.</p>
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<p>17 September 12 UTC IVT vertical profiles for 1992–2021 (gray line with dots), and mean over the period 1992–2022 (red line with dots) and 2022 (blue line with dots).</p>
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24 pages, 12102 KiB  
Article
Numerical Study on the Variable-Temperature Drying and Rehydration of Shiitake
by Lizhe Zhang, Long Jiang, Meriem Adnouni, Sheng Li and Xuejun Zhang
Foods 2024, 13(21), 3356; https://doi.org/10.3390/foods13213356 - 23 Oct 2024
Viewed by 683
Abstract
Variable-temperature convective drying (VTCD) is a promising technology for obtaining high-quality dried mushrooms, particularly when considering rehydration capacity. However, accurate numerical models for variable-temperature convective drying and rehydration of shiitake mushrooms are lacking. This study addresses this gap by employing a model with [...] Read more.
Variable-temperature convective drying (VTCD) is a promising technology for obtaining high-quality dried mushrooms, particularly when considering rehydration capacity. However, accurate numerical models for variable-temperature convective drying and rehydration of shiitake mushrooms are lacking. This study addresses this gap by employing a model with thermo–hydro and mechanical bidirectional coupling to investigate five dehydration characteristics (moisture ratio, drying rate, temperature, evaporation rate, and volume shrinkage ratio) and a drying load characteristic (enthalpy difference) during VTCD. Additionally, a mathematical model combining drying and rehydration is proposed to analyze the effect of VTCD processes on the rehydration performance of shiitake mushrooms. The results demonstrate that, compared to constant-temperature drying, VTCD-dried mushrooms exhibit moderate shrinkage rates and drying time (16.89 h), along with reduced temperature variation and evaporation rate gradient (Max. 1.50 mol/(m3·s)). VTCD also improves enthalpy stability, reducing the maximum drying load by 58.84% compared to 338.15 K constant-temperature drying. Furthermore, drying time at medium temperatures (318.15–328.15 K) greatly influences rehydration performance. This study quantitatively highlights the superiority of variable-temperature convective drying, offering valuable insights for optimizing the shiitake mushroom drying processes. Full article
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Figure 1
<p>Experimental ventilation chamber.</p>
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<p>Multiphysics coupling in shiitake mushroom convective drying.</p>
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<p>VTCD for drying characteristics analysis.</p>
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<p>Numerical meshing. (The color legend refers to the skewness in the grid cell quality).</p>
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<p>Experimental and numerical results of the wet-basis moisture content, volume shrinkage ratio, and core temperature under different shiitake mushroom drying processes.</p>
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<p>MR and drying rate of shiitake mushrooms in VTCD and CTCD processes.</p>
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<p>Core temperature (<b>a</b>) and temperature gradient (<b>b</b>) of shiitake mushrooms in VTCD and CTCD processes.</p>
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<p>Average evaporation rate (<b>a</b>) and evaporation rate gradient (<b>b</b>) of shiitake mushrooms in VTCD and CTCD processes.</p>
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<p>Shrinkage ratio of shiitake mushrooms in VTCD and CTCD processes.</p>
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<p>Air enthalpy difference between the inlet and outlet of the drying chamber in VTCD and CTCD processes.</p>
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<p>Experimental results of rehydration kinetics of shiitake mushrooms under different drying processes.</p>
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<p>Comparison between simulated and experimental results for rehydration.</p>
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<p>The effect of VTCD processes on WAC and total drying time.</p>
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<p>Temperature distribution of shiitake mushrooms in VTCD and CTCD processes.</p>
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<p>Evaporation rate distribution of shiitake mushrooms in VTCD and CTCD processes.</p>
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<p>Evaporation rate distribution of shiitake mushrooms in VTCD and CTCD processes.</p>
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