Thermodynamic Analysis of Entropy Generation Minimization in Thermally Dissipating Flow Over a Thin Needle Moving in a Parallel Free Stream of Two Newtonian Fluids
<p>Flow model and coordinate system.</p> "> Figure 2
<p>Variation of <span class="html-italic">Ns<sub>h</sub></span> when <span class="html-italic">u</span><sub>∞</sub> > 0 and the <span class="html-italic">ε</span> = 0 for (<b>a</b>) air and (<b>b</b>) water.</p> "> Figure 3
<p>Variation of <span class="html-italic">Ns<sub>f</sub></span> when <span class="html-italic">u</span><sub>∞</sub> > 0 and the <span class="html-italic">ε</span> < 0 for (<b>a</b>) air and (<b>b</b>) water.</p> "> Figure 4
<p>Variation of <span class="html-italic">Ns<sub>t</sub></span> when <span class="html-italic">u</span><sub>∞</sub> > 0 and the <span class="html-italic">ε</span> < 0 for (<b>a</b>) air and (<b>b</b>) water.</p> "> Figure 5
<p>Variation of <span class="html-italic">Be</span> when <span class="html-italic">u</span><sub>∞</sub> > 0 and the <span class="html-italic">ε</span> < 0 for (<b>a</b>) air and (<b>b</b>) water.</p> "> Figure 6
<p>Variation of <span class="html-italic">Ns<sub>h</sub></span> when (0 < <span class="html-italic">ε</span> < 1) for (<b>a</b>) air and (<b>b</b>) water.</p> "> Figure 7
<p>Variation of <span class="html-italic">Ns<sub>f</sub></span> when (0 < <span class="html-italic">ε</span> < 1) for (<b>a</b>) air and (<b>b</b>) water.</p> "> Figure 8
<p>Variation of <span class="html-italic">Ns<sub>t</sub></span> when (0 < <span class="html-italic">ε</span> < 1) for (<b>a</b>) air and (<b>b</b>) water.</p> "> Figure 9
<p>Variation of <span class="html-italic">Be</span> when (0 < <span class="html-italic">ε</span> < 1) for (<b>a</b>) air and (<b>b</b>) water.</p> ">
Abstract
:1. Introduction
2. Flow Analysis
2.1. First Law Analysis
2.2. Second Law Analysis
3. Results and Discussions
4. Closing Remarks
- Heat transfer and fluid friction irreversibility increases with the decreasing size of the thin needle for both type of fluids air and water.
- Total entropy enhances with the reduced size needle.
- Entropy generated due to heat transfer and fluid friction in water is more than in air.
- When ε < 0, entropy can be minimized either by increasing the free stream velocity or by decreasing the needle velocity.
Author Contributions
Acknowledgments
Conflicts of Interest
Nomenclature
Constant | |
Bejan Number | |
Brinkman number | |
Specific heat | |
Eckert number | |
Dimensionless stream function | |
Thermal conductivity | |
Prandtl number | |
Shape and size of the needle [m] | |
Local Reynold number | |
Temperature field [K] | |
Composite velocity [] | |
Velocity of needle and free stream, respectively [] | |
Velocity components in axial and radial directions, respectively [m] | |
Spatial coordinates measured in axial and radial directions, respectively [m] | |
Non-dimensional temperature | |
Density of fluid | |
Dynamic viscosity | |
Dimensional stream function | |
Velocity ratio parameter |
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Khan, I.; Khan, W.A.; Qasim, M.; Afridi, I.; Alharbi, S.O. Thermodynamic Analysis of Entropy Generation Minimization in Thermally Dissipating Flow Over a Thin Needle Moving in a Parallel Free Stream of Two Newtonian Fluids. Entropy 2019, 21, 74. https://doi.org/10.3390/e21010074
Khan I, Khan WA, Qasim M, Afridi I, Alharbi SO. Thermodynamic Analysis of Entropy Generation Minimization in Thermally Dissipating Flow Over a Thin Needle Moving in a Parallel Free Stream of Two Newtonian Fluids. Entropy. 2019; 21(1):74. https://doi.org/10.3390/e21010074
Chicago/Turabian StyleKhan, Ilyas, Waqar A. Khan, Muhammad Qasim, Idrees Afridi, and Sayer O. Alharbi. 2019. "Thermodynamic Analysis of Entropy Generation Minimization in Thermally Dissipating Flow Over a Thin Needle Moving in a Parallel Free Stream of Two Newtonian Fluids" Entropy 21, no. 1: 74. https://doi.org/10.3390/e21010074
APA StyleKhan, I., Khan, W. A., Qasim, M., Afridi, I., & Alharbi, S. O. (2019). Thermodynamic Analysis of Entropy Generation Minimization in Thermally Dissipating Flow Over a Thin Needle Moving in a Parallel Free Stream of Two Newtonian Fluids. Entropy, 21(1), 74. https://doi.org/10.3390/e21010074