Abstract

Unsteady electromagnetic free convection flows of two-dimensional micropolar fluid through in a porous medium parallel to a vertical porous plate have been investigated numerically. Similarity analysis has been used to transform the governing equations into its non-dimensional form by using the explicit finite difference method to obtain numerical solutions. Estimated results have been gained for various values of Prandtl number, Grashof number, material parameters, micropolar parameter, electric conductivity, electric permeability, thermal relaxation time and the permeability of the porous medium. The effects of pertinent parameters on the velocity, electric induction, magnetic induction, microrotation and temperature distributions have been investigated briefly and illustrated graphically.

Highlights

  • Fluids with microstructure are micropolar fluids which are randomly oriented or composed of spherical particles that are rigid with their rotation and ceased in a viscous medium

  • Estimated results have been gained for various values of Prandtl number, Grashof number, material parameters, micropolar parameter, electric conductivity, electric permeability, thermal relaxation time and the permeability of the porous medium

  • Hsu and Wang [18] presented a numerical study of the laminar mixed convection of micropolar fluids in a square cavity with localized heat source Lok et al [19] studied a microplar mixed convection boundary layer fluid flow near the region of the stagnation point of on a double-infinite vertical flat plate

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Summary

Introduction

Fluids with microstructure are micropolar fluids which are randomly oriented or composed of spherical particles that are rigid with their rotation and ceased in a viscous medium. Rees and Pop [6] expressed the steady micropolar free convection fluid flow from a vertical isothermal flat plate. Nandhini and Ramya [8] analyzed the heat and mass transfer of the free convection flow in a micropolar fluid past an inclined stretching sheet. Aydin and Pop [15] analyzed the two-dimensional steady laminar natural convective flow and heat transfer of micropolar fluids in a square enclosure. Hsu and Wang [18] presented a numerical study of the laminar mixed convection of micropolar fluids in a square cavity with localized heat source Lok et al [19] studied a microplar mixed convection boundary layer fluid flow near the region of the stagnation point of on a double-infinite vertical flat plate. Zakaria [20] investigated the influence of a transverse magnetic field on the motion of an electrically conducting micropolar

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