Effect of Viscous Dissipation on MHD Free Convection Flow Heat and Mass Transfer of Non-Newtonian Fluids along a Continuously Moving Stretching Sheet

K.C Saha,M.A Samad,M.R Hossain

doi:10.19026/rjaset.9.2599

Abstract

The effects of MHD free convection heat and mass transfer of power-law Non-Newtonian fluids along a stretching sheet with viscous dissipation has been analyzed. This has been done under the simultaneous action of suction, thermal radiation and uniform transverse magnetic field. The stretching sheet is assumed to continuously moving with a power-law velocity and maintaining a uniform surface heat-flux. The governing non-linear partial differential equations are transformed into non-linear ordinary differential equations, using appropriate similarity transformations and the resulting problem is solved numerically using Nachtsheim-Swigert shooting iteration technique along with sixth order Runge-Kutta integration scheme. A parametric study of the parameters arising in the problem such as the Eckert number due to viscous dissipation, radiation number, buoyancy parameter, Schmidt number, Prandtl number etc are studied and the obtained results are shown graphically and the physical aspects of the problem are discussed.

Highlights

Considerable interest has recently been shown in radiation interaction with free convection for heat transfer in fluid
This is due to the significant role of thermal radiation in the surface heat transfer when convection heat transfer is small in free convection problems involving absorbing-emitting fluids
The final product of required characteristics depend to a great extent on the rate of cooling which can be controlled by drawing such sheets in an electrically conducting fluid and subject to magnetic field

Summary

Introduction

Considerable interest has recently been shown in radiation interaction with free convection for heat transfer in fluid. This is due to the significant role of thermal radiation in the surface heat transfer when convection heat transfer is small in free convection problems involving absorbing-emitting fluids. Many manufacturing processes involve the cooling of continuous sheets or filaments by drawing them through a quiescent fluid which are stretched during the drawing process. The final product of required characteristics depend to a great extent on the rate of cooling which can be controlled by drawing such sheets in an electrically conducting fluid and subject to magnetic field. Vajravelu and Hadjinicolaou (1997) studied the convective heat transfer in an electrically conducting fluid near an isothermal stretching sheet and studied the effect of internal heat generation or absorption. Glauert (1961) analyzed magnetohydro-dynamic boundary layer on a flat plate

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