Document Type: Research Paper

Authors

1 Department of Mathematics, University of Botswana, Private Bag 0022, Gaborone, Botswana

2 Department of Mathematics, R V R & J C College of Engineering, Guntur, A. P., India

3 Department of Mathematics, Sri Venkateswara University, Tirupati – 517502, A. P., India

Abstract

An analytical study was performed to study effects of thermo-diffusion and chemical reactions on a three-dimensional MHD mixed convective flow of dissipative fluid along an infinite vertical porous plate with transverse sinusoidal suction velocity. The parabolic partial differential equations governing the fluid flow, heat transfer, and mass transfer were solved using perturbation technique and the expressions for velocity, temperature, and concentration distributions were obtained. Expressions for skin friction at the plate in the direction of the main flow, rate of heat transfer, and mass transfer from the plate to the fluid were derived in a non-dimensional form. Velocity, temperature, concentration, amplitudes of the perturbed parts of skin friction, rate of heat transfer, rate of mass transfer, and skin friction at the plate are presented in graphs and effects of various physical parameters like Hartmann number M, Prandtl number Pr, Reynolds number Re, Schmidt number Sc, Soret number So, Grashof number for heat transfer Gr, Grashof number for mass transfer Gm, and chemical reaction parameter Kr on the above flow quantities were analyzed and then the obtained results were physically interpreted.

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