Unsteady MHD Couette flow in a vertical porous channel with effect of thermal radiation and variable temperature

Ibrahim D. Yale 1 and Gambo Musa 2, *

1 Department of Mathematics, Kebbi State University of Science and Technology, Aliero, Nigeria.
2 Department of Mathematics, Federal University Birnin Kebbi, Kebbi State, Nigeria.
 
Research Article
Global Journal of Engineering and Technology Advances, 2022, 10(03), 085–094.
Article DOI: 10.30574/gjeta.2022.10.3.0027
Publication history: 
Received on 22 January 2022; revised on 10 March 2022; accepted on 12 March 2022.
 
Abstract: 
Unsteady MHD Couette flows in a vertical porous channel with effect of thermal radiation and variable temperature have been studied. The governing equations at first were transformed by usual transformation non-dimensional form. The numerical solutions for time dependent velocity, temperature and special concentration are obtained by the implicit finite difference method. The computed values of fluid velocity, temperature and concentrations are analyzed for different flow parameters such as thermal Grashof number Gr, modify Grashof number Gm, Prandtl number Pr, thermal radiation parameter R and Schmidt number Sc. The effect of these parameters depicting physical situation of the flow profile is expressed with the aid of line graphs. Significant results from this study showed that the velocity, temperature and concentration increases with increase in thermal radiation, magnetic field parameters and time, and decreases with the effect of Prandtl number, Schmidt number at increasing values.
 
Keywords: 
MHD; Couette Flow; Porous Channel; Thermal Radiation; Variable Temperature
 
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