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Effect of Electric Field on MHD Flow and Heat Transfer Characteristics of Williamson Nanofluid over a Heated Surface with Variable Thickness. OHAM Solution

Gossaye Aliy, Naikoti Kishan

Journal of Advances in Mathematics and Computer Science · pp. 1–23 · Published 21 Dec 2018

10.9734/JAMCS/2019/45297

Abstract

The magneto-hydrodynamic flow with heat and mass transfer of Williamson nanofluid over a heated surface with a variable thickness under the effect of an electric field is examined. It is assumed that the sheet is non-flat. The arising flow governing equations are simplified under the usual boundary layer suppositions. The solution of highly nonlinear transformed simultaneous differential equations is computed by an efficient analytic method called optimal homotopy asymptotic method (OHAM). Consequently, the effects of the governing parameters of the velocity, temperature and concentration profiles are presented graphically and discussed. It is seen that the effect of an electric field has a direct impact on the behavior of the magnetic field in the velocity profile and an increment of Biot number  implies stronger convection at the surface. Comparison of results has been made with the existing literature, and a very good covenant has been observed.

OHAM electric field variable thickness Williamson fluid convective boundary condition

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