Heat and Mass Transfer on the Unsteady MHD Flow of Chemically Reacting Micropolar Fluid with Radiation and Joule Heating

Shamshuddin Md

doi:10.11648/j.ijtam.20170303.13

Abstract

To explore numerical simulation of transport in rheological materials processing, in the current paper, a finite element computational solution is presented for magnetohydrodynamic (MHD), incompressible, radiative and chemically-reacting micropolar fluid flow, heat and mass transfer adjacent to a vertical porous plate embedded in a saturated homogenous porous medium. Rosseland’s diffusion approximation is used to describe the radiative heat flux in the energy equation. A Darcy model is employed for the porous medium. The homogeneous chemical reaction of first order is accounted for in the mass diffusion equation. The numerical solutions of the system of non-linear partial differential equations which are rendered into non-dimensional form are obtained using a Galerkin formulation with a weighted residual scheme. The impact of Eringen coupling number, radiation-conduction number, chemical reaction parameter, plate moving velocity parameter, magnetic parameter, thermal Grashof number, species (solutal) Grashof number, permeability parameter, Eckert number on linear velocity, micro-rotation, temperature and concentration profiles. Furthermore, the influence of selected thermo-physical parameters on friction factor, surface heat transfer and mass transfer rate is also tabulated. The finite element solutions are verified with solutions from several limiting cases in the literature. Interesting features in the flow are identified and interpreted.

Highlights

The flow of non-Newtonian fluid feature widely in an extensive range of technological applications including, food processing, plastic fabrication, biotechnology and paint emulsion manufacture
In the present article, motivated by simulating nonNewtonian thermal materials processing of powders, we extended the analytical work of Sudheer Babu et al [10] by taking into account of thermal radiation, Joule dissipation and first order chemical reaction effects and deriving finite element numerical solutions for generalized micropolar radiative-convection flow from a vertical surface in a porous medium
A mathematical model has been presented for radiative magnetic free convection heat and mass in transient flow of an incompressible, micropolar fluid from an inclined plate in porous media

Summary

Introduction

The flow of non-Newtonian fluid feature widely in an extensive range of technological applications including, food processing, plastic fabrication, biotechnology and paint emulsion manufacture. To simulate the complex shear stressstrain characteristics of such fluids, numerous mathematical models have been developed Researchers in this area were initiated by Eringen [1] introduced the microfluid model and later simplified this model to micropolar fluids which can describe sophisticated phenomena including couple stresses, body couples and exhibit gyratory motions, which cannot be analyzed with simpler non-Newtonian models and continued up to now in various case studies. It is known that they arise in many diverse areas of technology including combustion in gas turbines, convective flows setup where the bounding surfaces absorb heat by solar radiation, design of efficient heat exchangers, etc. These flows require a more sophisticated approach to radiative heat transfer in the system which can substantially influence performance and modify characteristics of manufactured products. Rahman and Sultan [8] implemented an efficient, iterative, Shamshuddin MD.: Heat and Mass Transfer on the Unsteady MHD Flow of Chemically Reacting

Methods

Results

Conclusion