Dufour and Soret Effects on MHD Forced Convective Heat and Mass Transfer Flow of Non-Newtonian Power Law Fluid with Thermal Radiation and Viscous Dissipation

Chinmayee Podder

doi:10.11648/j.ajam.20160406.16

Abstract

This paper investigates the Dufour and Soret effects of forced convection heat and mass transfer of an electrically conducting, non-Newtonian power-law fluid past a stretching sheet under the simultaneous action of suction, radiation, uniform transverse magnetic field, heat generation and viscous dissipation. The stretching sheet is assumed to continuously moving with a power-law velocity and maintaining a uniform surface heat flux. The governing nonlinear partial differential equations are transformed into a system of non linear ordinary differential equations using appropriate similarity transformations. The resulting dimensionless equations are solved numerically using sixth order Runge-Kutta integration scheme with Nachtsheim-Swigert shooting iterative technique. A systematical study of numerical results for the non-dimensional velocity, temperature and concentration profiles are presented graphically. The viscous drag or local Skin-friction coefficient, heat transfer rate or local Nusselt number and mass transfer rate or local Sherwood number are represented in tabular and graphical forms to illustrate the details of flow characteristics and their dependence on all physically important parameters in case of Newtonian and non-Newtonian (pseudo-plastic and dilatants) fluids.

Highlights

The heat, mass and momentum transfer in the laminar boundary layer flow of non-Newtonian power law fluid on stretching sheets are important from a theoretical as well as practical point of view because of their wider applications to polymer technology, metallurgy, many mechanical forming processes, such as extrusion, melt-spinning, cooling, manufacture of plastic and rubber sheets, glass blowing, continuous casting and spinning of fibers etc
The reduction in the velocity, temperature and concentration profiles indicates that suction stabilizes the velocity, temperature and concentration boundary layer
With the increase of magnetic parameter ( ) the temperature increase start to decrease, so we get a cross flow and an increasing behavior are shown in concentration profiles

Summary

Introduction

The heat, mass and momentum transfer in the laminar boundary layer flow of non-Newtonian power law fluid on stretching sheets are important from a theoretical as well as practical point of view because of their wider applications to polymer technology, metallurgy, many mechanical forming processes, such as extrusion, melt-spinning, cooling, manufacture of plastic and rubber sheets, glass blowing, continuous casting and spinning of fibers etc. Transfer Flow of Non-Newtonian Power Law Fluid with Thermal Radiation and Viscous Dissipation according to different, less well-understood mechanisms than gaseous mixtures. It has been utilized for isotope separation and in mixture between gases with very light molecular weight and of medium molecular weight. Damesh et al [12] investigated the MHD forced convection heat transfer from radiate surfaces in the presence of a uniform transverse magnetic field with conductive fluid suction or injection from a porous plate. Chen et al [19] analyzed Soret and Dufour effects on free convection flow of non-Newtonian fluids along a vertical plate embedded in a porous medium with thermal radiation. The local skin friction coefficient, local Nusselt number and local Sherwood number have been obtained to investigate more practical and physical effect of parameters on Newtonian and non-Newtonian fluids

Numerical Formulation

Results and Discussion

Conclusion