Analysis of Entropy Generation via Non-Similar Numerical Approach for Magnetohydrodynamics Casson Fluid Flow with Joule Heating
Abstract
:1. Introduction
2. Problem Formulations
2.1. Non-Similar Transformation
2.2. Non-Similarity Technique
2.2.1. Truncation Level 1
2.2.2. Truncation Level 2
2.3. Entropy Analysis
2.4. Solution Procedure
3. Results and Discussions
4. Conclusions
- The local entropy generation number is enhanced by increases in the Brinkman number, magnetic field, and radiation parameter.
- An increase in the value of the Casson parameter and mass transfer parameter causes the local entropy generation number to decrease in the vicinity of the convective stretching surface.
- The average entropy generation number ( increases up to 10.43 times as changes from 0.1 to 1.1, while the average Bejan number decreases up to 3.60 times.
- The Bejan number graphs indicate that near the stretching surface, the effects of heat transfer and diffusion entropy are predominant, while in regions farther away, the entropy effects due to fluid friction and the magnetic field become more significant.
- At the surface of the plate, the average Bejan number decreased up to 3.21 times as the magnetic parameter varied from 0.1 to 1.1.
Author Contributions
Funding
Institutional Review Board Statement
Data Availability Statement
Conflicts of Interest
References
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1.5759 | |||||||||
0.1 | 0.3 | 0.5 | 0.7 | 0.9 | 1.1 | |
---|---|---|---|---|---|---|
0.0753 | 0.2174 | 0.3594 | 0.5015 | 0.6435 | 0.7856 | |
0.0891 | 0.0563 | 0.0423 | 0.0341 | 0.0287 | 0.0247 |
1 | 2 | 3 | 4 | 5 | 6 | |
---|---|---|---|---|---|---|
0.0753 | 0.0732 | 0.0724 | 0.0719 | 0.0717 | 0.0715 | |
0.0891 | 0.0881 | 0.0877 | 0.0875 | 0.0873 | 0.0872 |
0.1 | 0.3 | 0.5 | 0.7 | 0.9 | 1.1 | |
---|---|---|---|---|---|---|
0.0753 | 0.1327 | 0.1901 | 0.2475 | 0.3049 | 0.3623 | |
0.0891 | 0.0584 | 0.0452 | 0.0372 | 0.0317 | 0.0277 |
0.5 | 2.5 | 4.5 | 6.5 | 8.5 | 10.5 | |
---|---|---|---|---|---|---|
0.0753 | 0.0826 | 0.0878 | 0.0925 | 0.0968 | 0.1010 | |
0.0891 | 0.1079 | 0.1296 | 0.1500 | 0.1682 | 0.1841 |
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Louati, H.; Khan, S.; Mansoor, M.; Hilali, S.O.; Gargouri, A. Analysis of Entropy Generation via Non-Similar Numerical Approach for Magnetohydrodynamics Casson Fluid Flow with Joule Heating. Entropy 2024, 26, 702. https://doi.org/10.3390/e26080702
Louati H, Khan S, Mansoor M, Hilali SO, Gargouri A. Analysis of Entropy Generation via Non-Similar Numerical Approach for Magnetohydrodynamics Casson Fluid Flow with Joule Heating. Entropy. 2024; 26(8):702. https://doi.org/10.3390/e26080702
Chicago/Turabian StyleLouati, Hanen, Sajid Khan, Muavia Mansoor, Shreefa O. Hilali, and Ameni Gargouri. 2024. "Analysis of Entropy Generation via Non-Similar Numerical Approach for Magnetohydrodynamics Casson Fluid Flow with Joule Heating" Entropy 26, no. 8: 702. https://doi.org/10.3390/e26080702