Title: Homotopy solution for MHD mixed convective unsteady flow of a Powell-Eyring fluid in a vertical porous space with oscillating wall temperature

Authors: R. Muthuraj; R.K. Selvi

Addresses: Department of Mathematics, PSNA College of Engineering and Technology, Dindigul – 624622, Tamil Nadu, India ' Department of Mathematics, PSNA College of Engineering and Technology, Dindigul – 624622, Tamil Nadu, India

Abstract: In this paper, unsteady magnetohydrodynamic (MHD) flow of Powell-Eyring fluid in a vertical channel with diffusion thermo and thermal diffusion effects in the presence of heat source have been studied. The governing nonlinear, coupled partial differential equations are reduced to ODEs using oscillating parameter and then solved by homotopy analysis method (HAM). The influence of emerging parameters on heat and mass transfer characteristics of the flow are studied. It is found that the velocity of a Non-Newtonian fluid is found to decrease in comparison with Newtonian fluid. Also, it is observed that thermal parameters and Soret number are lead to promote the temperature of the fluid significantly. Increasing magnetic parameter tends to produce oscillating behaviour on volume flow rate whereas uniform depreciation can be noticed with increasing Schmidt number.

Keywords: MHD; magnetohydrodynamic; unsteady flow; Dufour effect; Soret effect; HAM; homotopy analysis method; vertical channel.

DOI: 10.1504/IJCSM.2020.108782

International Journal of Computing Science and Mathematics, 2020 Vol.12 No.1, pp.21 - 35

Received: 19 Nov 2018
Accepted: 19 Aug 2019
Published online: 03 Aug 2020 *

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