Entropy Generation Due to Magneto-Convection of a Hybrid Nanofluid in the Presence of a Wavy Conducting Wall
Abstract
:1. Introduction
2. Problem Formulation
3. Solution Method
- Nodes lying in a stencil centered at a node are determined. Let these nodes be denoted by .
- In stencil, using a polyharmonic spline RBF, , and cubic augmented polynomial terms matrix, is built.
- or (for x-derivatives) or (for y-derivatives) or (for Laplacian)) is found, and its first terms are saved. Note that scaling also affects and . Therefore, the differentiation matrices and are constructed by the first terms of .
4. Numerical Outputs
4.1. Validation
4.2. Grid Independency
4.3. Discussion on the Current Problem
5. Conclusions
- The rise in the Lorentz force results in a reduction inthe fluid velocity, CHT, and total entropy. If is changed from 10 to 100, 71.58% reduction in total EG, and 49.16% reduction in are found, while number increases bt 146.3% in Case 1.
- The more the buoyancy force exists, the faster the fluid flows and the more CHT improves. From to , the greatest increase in occurs in Case 1 as 74.5%, and an almost 100% reduction in in each cases is observed.
- With large values of , CHT is more pronounced in the fluid part. Total EG and number also ascends with the rise in .
- The amplitude of waviness has a reducing effect on and total EG in Case 2 and an increasing impact in Cases 1 and 3.
- In Case 1 and 3, the increment in the number of undulations is directly proportional to .
- If the angle of uniform MF is changed from to , rises 8.79% in Case 1, 7.73% in Case 2, and 7.58% in Case 3. Total EG initially increases from angle to , and then it decreases from to . number is not significantly affected by this angle.
Author Contributions
Funding
Data Availability Statement
Conflicts of Interest
References
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Physical Property | Water | Cu | TiO2 |
---|---|---|---|
997.1 | 8933 | 4250 | |
4179 | 385 | 686.2 | |
0.6 | 401 | 8.9538 | |
21 | 0.9 | ||
0.05 |
Present | Ref. [41] | |
---|---|---|
1.1181 | 1.118 | |
2.2440 | 2.243 | |
4.5123 | 4.519 |
Present | Ref. [34] | Present | Ref. [34] | |
2.5379 | 2.4826 | 2.7405 | 2.5747 | |
5.1548 | 5.1673 | 5.5166 | 5.2133 |
N | Case 1 | Case 2 | Case 3 |
---|---|---|---|
29 | 2.5238 | 1.7815 | 2.0733 |
33 | 2.5081 | 1.7842 | 2.0846 |
37 | 2.4960 | 1.7842 | 2.0950 |
41 | 2.4919 | 1.7866 | 2.0945 |
45 | 2.4855 | 1.7925 | 2.1014 |
49 | 2.4845 | 1.7900 | 2.1065 |
53 | 2.4800 | 1.7874 | 2.1050 |
57 | 2.4792 | 1.7894 | 2.1039 |
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Pekmen Geridonmez, B.; Oztop, H.F. Entropy Generation Due to Magneto-Convection of a Hybrid Nanofluid in the Presence of a Wavy Conducting Wall. Mathematics 2022, 10, 4663. https://doi.org/10.3390/math10244663
Pekmen Geridonmez B, Oztop HF. Entropy Generation Due to Magneto-Convection of a Hybrid Nanofluid in the Presence of a Wavy Conducting Wall. Mathematics. 2022; 10(24):4663. https://doi.org/10.3390/math10244663
Chicago/Turabian StylePekmen Geridonmez, Bengisen, and Hakan F. Oztop. 2022. "Entropy Generation Due to Magneto-Convection of a Hybrid Nanofluid in the Presence of a Wavy Conducting Wall" Mathematics 10, no. 24: 4663. https://doi.org/10.3390/math10244663