Unsteady Heat and Mass Transfer of Chemically Reacting Micropolar Fluid in a Porous Channel with Hall and Ion Slip Currents.

Odelu Ojjela,N Naresh Kumar

doi:10.1155/2014/646957

Odelu Ojjela, N Naresh Kumar

Open Access

https://doi.org/10.1155/2014/646957

Copy DOI

Abstract

This paper presents an incompressible two-dimensional heat and mass transfer of an electrically conducting micropolar fluid flow in a porous medium between two parallel plates with chemical reaction, Hall and ion slip effects. Let there be periodic injection or suction at the lower and upper plates and the nonuniform temperature and concentration at the plates are varying periodically with time. The flow field equations are reduced to nonlinear ordinary differential equations using similarity transformations and then solved numerically by quasilinearization technique. The profiles of velocity components, microrotation, temperature distribution and concentration are studied for different values of fluid and geometric parameters such as Hartmann number, Hall and ion slip parameters, inverse Darcy parameter, Prandtl number, Schmidt number, and chemical reaction rate and shown in the form of graphs.

Highlights

The flow and heat transfer of a fluid through porous channels is of great importance in both engineering and science
This paper presents an incompressible two-dimensional heat and mass transfer of an electrically conducting micropolar fluid flow in a porous medium between two parallel plates with chemical reaction, Hall and ion slip effects
Bhattacharyya et al [8] studied the effects of chemical reaction on the boundary layer flow of viscous fluid and a numerical solution obtained by shooting method

Summary

Introduction

The flow and heat transfer of a fluid through porous channels is of great importance in both engineering and science. The steady micropolar fluid flow between two vertical porous parallel plates in the presence of magnetic field was considered by Bhargava et al [10] and the governing differential equations have been solved using the quasilinearization method. Olajuwon [18] studied the heat and mass transfer of an electrically conducting micropolar fluid flow over a horizontal flat plate in the presence of transverse magnetic field with the chemical reaction and Hall effects and the problem is solved by using Runge-Kutta method. This paper deals with the unsteady two-dimensional incompressible MHD flow and heat transfer of a micropolar fluid in a porous medium between parallel plates with chemical reaction, Hall and ion slip effects. The effects of various parameters on velocity components, temperature distribution, microrotation, and concentration are studied and shown graphically

Formulation of the Problem

Solution of the Problem

Results and Discussions

Conclusions

D1: Mass diffusivity k3: Chemical reaction rate Kr