The Effects of Chemical Reaction, Hall, and Ion‐Slip Currents on MHD Micropolar Fluid Flow with Thermal Diffusivity Using a Novel Numerical Technique

S S Motsa,S Shateyi

doi:10.1155/2012/689015

Abstract

The problem of magnetomicropolar fluid flow, heat, and mass transfer with suction through a porous medium is numerically analyzed. The problem was studied under the effects of chemical reaction, Hall, ion‐slip currents, and variable thermal diffusivity. The governing fundamental conservation equations of mass, momentum, angular momentum, energy, and concentration are converted into a system of nonlinear ordinary differential equations by means of similarity transformation. The resulting system of coupled nonlinear ordinary differential equations is the then solved using a fairly new technique known as the successive linearization method together with the Chebyshev collocation method. A parametric study illustrating the influence of the magnetic strength, Hall and ion‐slip currents, Eckert number, chemical reaction and permeability on the Nusselt and Sherwood numbers, skin friction coefficients, velocities, temperature, and concentration was carried out.

Highlights

Eringen 1 proposed the theory of micropolar fluids, which shows microrotation effects as well as microinertia, as these flow properties cannot be described by the classical Navier-Stokes theory
The heat transfer problem associated with the boundary layer micropolar fluid under different physical conditions has been studied by several authors
The aim of this work is to analyze the effects of chemical reaction, Hall and ionslip currents on the MHD flow of a micropolar fluid through a porous medium using the successive linearization method Successive Linearisation Method (SLM)

Summary

Introduction

Eringen 1 proposed the theory of micropolar fluids, which shows microrotation effects as well as microinertia, as these flow properties cannot be described by the classical Navier-Stokes theory. To include studies of magneto-micropolar fluid with Hall current and ion-slip currents with heat transfer due to vast possible engineering applications in areas like power generators, MHD accelerators, Journal of Applied Mathematics refrigeration coils, electric transformers, and heating elements. MHD flows of a viscous and incompressible fluid have been extensively studied with the effect of Hall current by Chamkha 2 , Seddeek 3 , Takhar et al 4 , Shateyi et al 5, 6 , Salem and Abd El-aziz 7 , among others. Shateyi 10 investigated thermal radiation and buoyancy effects on heat and mass transfer over a semi-infinite stretching sheet with suction and blowing. Shateyi and Motsa 11 numerically investigated the unsteady heat, mass, and fluid transfer over a horizontal stretching sheet

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