The Effects of Variable Viscosity, Viscous Dissipation and Chemical Reaction on Heat and Mass Transfer Flow of MHD Micropolar Fluid along a Permeable Stretching Sheet in a Non-Darcian Porous Medium

A M Salem

doi:10.1155/2013/185074

Abstract

A numerical model is developed to study the effects of temperature-dependent viscosity on heat and mass transfer flow of magnetohydrodynamic(MHD) micropolar fluids with medium molecular weight along a permeable stretching surface embedded in a non-Darcian porous medium in the presence of viscous dissipation and chemical reaction. The governing boundary equations for momentum, angular momentum (microrotation), and energy and mass transfer are transformed to a set of nonlinear ordinary differential equations by using similarity solutions which are then solved numerically by shooting technique. A comparison between the analytical and the numerical solutions has been included. The effects of the various physical parameters entering into the problem on velocity, microrotation, temperature and concentration profiles are presented graphically. Finally, the effects of pertinent parameters on local skin-friction coefficient, local Nusselt number and local Sherwood number are also presented graphically. One important observation is that for some kinds of mixtures (e.g., H2, air) with light and medium molecular weight, the magnetic field and temperature-dependent viscosity effects play a significant role and should be taken into consideration as well.

Highlights

The dynamics of micropolar fluids, originated from the theory of Eringen [1,2,3], has been a popular area of research due to its application in a number of processes that occur in industry
Eldabe et al [9] studied the problem of heat and mass transfer in hydromagnetic flow of the nonNewtonian fluid with heat source over an accelerated surface through a porous medium
Based on the above discussion, the objective of the present study is to study the effects of variable viscosity on MHD mixed convective heat and mass transfer flow of a micropolar fluid past a porous stretching sheet in a non-Darcian porous medium with chemical reaction in the presence of viscous dissipation

Summary

Introduction

The dynamics of micropolar fluids, originated from the theory of Eringen [1,2,3], has been a popular area of research due to its application in a number of processes that occur in industry. Such applications include polymeric fluids, real fluids with suspensions, liquid crystal, animal blood, and exotic lubricants. The study of heat and mass transfer flow of an electrically conducting micropolar fluid past a porous plate under the influence of a magnetic field has attracted many researchers due to its enormous applications in many engineering problems, such as MHD generators, nuclear reactors, geothermal energy extractions, and the boundary layer control in the field of aerodynamics. Pal and Chatterjee Sewli [13] analyzed the steady two-dimensional

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