The thermodynamic first and second law analyses of a temperature dependent viscosity hydromagnetic generalized unsteady Couette flow with permeable walls is investigated. The transient model problem for momentum and energy balance is tackled numerically using a semi-discretization method while the steady state boundary value problem is solved by shooting method together with Runge-Kutta-Fehlberg integration scheme. The velocity and the temperature profiles are obtained and are utilized to compute the skin friction coefficient, Nusselt number, entropy generation rate and the Bejan number. Pertinent results are presented graphically and discussed quantitatively.
Published in | Applied and Computational Mathematics (Volume 3, Issue 1) |
DOI | 10.11648/j.acm.20140301.11 |
Page(s) | 1-8 |
Creative Commons |
This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited. |
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Copyright © The Author(s), 2014. Published by Science Publishing Group |
Unsteady Couette Flow, Magnetic Field, Variable Viscosity, Permeable Walls, Heat Transfer, Entropy Generation, Bejan Number
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APA Style
David Theuri, Oluwole Daniel Makinde. (2014). Thermodynamic Analysis of Variable Viscosity MHD Unsteady Generalized Couette Flow with Permeable Walls. Applied and Computational Mathematics, 3(1), 1-8. https://doi.org/10.11648/j.acm.20140301.11
ACS Style
David Theuri; Oluwole Daniel Makinde. Thermodynamic Analysis of Variable Viscosity MHD Unsteady Generalized Couette Flow with Permeable Walls. Appl. Comput. Math. 2014, 3(1), 1-8. doi: 10.11648/j.acm.20140301.11
AMA Style
David Theuri, Oluwole Daniel Makinde. Thermodynamic Analysis of Variable Viscosity MHD Unsteady Generalized Couette Flow with Permeable Walls. Appl Comput Math. 2014;3(1):1-8. doi: 10.11648/j.acm.20140301.11
@article{10.11648/j.acm.20140301.11, author = {David Theuri and Oluwole Daniel Makinde}, title = {Thermodynamic Analysis of Variable Viscosity MHD Unsteady Generalized Couette Flow with Permeable Walls}, journal = {Applied and Computational Mathematics}, volume = {3}, number = {1}, pages = {1-8}, doi = {10.11648/j.acm.20140301.11}, url = {https://doi.org/10.11648/j.acm.20140301.11}, eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.acm.20140301.11}, abstract = {The thermodynamic first and second law analyses of a temperature dependent viscosity hydromagnetic generalized unsteady Couette flow with permeable walls is investigated. The transient model problem for momentum and energy balance is tackled numerically using a semi-discretization method while the steady state boundary value problem is solved by shooting method together with Runge-Kutta-Fehlberg integration scheme. The velocity and the temperature profiles are obtained and are utilized to compute the skin friction coefficient, Nusselt number, entropy generation rate and the Bejan number. Pertinent results are presented graphically and discussed quantitatively.}, year = {2014} }
TY - JOUR T1 - Thermodynamic Analysis of Variable Viscosity MHD Unsteady Generalized Couette Flow with Permeable Walls AU - David Theuri AU - Oluwole Daniel Makinde Y1 - 2014/01/20 PY - 2014 N1 - https://doi.org/10.11648/j.acm.20140301.11 DO - 10.11648/j.acm.20140301.11 T2 - Applied and Computational Mathematics JF - Applied and Computational Mathematics JO - Applied and Computational Mathematics SP - 1 EP - 8 PB - Science Publishing Group SN - 2328-5613 UR - https://doi.org/10.11648/j.acm.20140301.11 AB - The thermodynamic first and second law analyses of a temperature dependent viscosity hydromagnetic generalized unsteady Couette flow with permeable walls is investigated. The transient model problem for momentum and energy balance is tackled numerically using a semi-discretization method while the steady state boundary value problem is solved by shooting method together with Runge-Kutta-Fehlberg integration scheme. The velocity and the temperature profiles are obtained and are utilized to compute the skin friction coefficient, Nusselt number, entropy generation rate and the Bejan number. Pertinent results are presented graphically and discussed quantitatively. VL - 3 IS - 1 ER -