On a Couette Flow of Conducting Fluid
International Journal of Theoretical and Applied Mathematics
Volume 4, Issue 1, February 2018, Pages: 8-21
Received: Oct. 24, 2017; Accepted: Apr. 20, 2018; Published: May 21, 2018
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Isah Bala Yabo, Department of Mathematics, Usmanu Danfodiyo University, Sokoto, Nigeria
Basant Kumar Jha, Department of Mathematics, Ahmadu Bello University, Zaria, Nigeria
Jeng-Eng Lin, Department of Mathematics and Statistics, Georgetown University, Washington DC, USA
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We discuss the thermal radiation effect on unsteady free-convective Couette flow of conducting fluid in the presence of transverse magnetic field. The mathematical model is highly nonlinear due to the effect of the thermal radiation. Both numerical solution by the finite difference method and the analytical solution of the steady state by the perturbation method are presented. The numerical solution at large time agrees with the analytic solution of the steady state.
Transverse Magnetic Field, Thermal Radiation, Couette Flow
To cite this article
Isah Bala Yabo, Basant Kumar Jha, Jeng-Eng Lin, On a Couette Flow of Conducting Fluid, International Journal of Theoretical and Applied Mathematics. Vol. 4, No. 1, 2018, pp. 8-21. doi: 10.11648/j.ijtam.20180401.12
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This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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