Viscous and Joules Dissipation on MHD Flow past a Stretching Porous Surface Embedded in a Porous Medium

Md. Sharif Uddin

doi:10.4236/jamp.2015.312196

Abstract

This paper investigates the influence of both viscous and joules dissipation on the problem of magneto-hydrodynamic flow past a stretching porous surface embedded in a porous medium for rotating case. Using similarity approach the system of partial differential equations is transformed into ordinary differential equations which strongly depend on the magnetic parameter, stretching parameter, rotation parameter, permeability parameter and Prandtl number. The coupled differential equations are numerically simulated using the Nactsheim-Swigert shooting technique together with Runge-Kutta six order iteration schemes. The velocity and temperature profiles are discussed and presented graphically. The comparisons for dimensionless skin friction coefficient and local Nusselt number are also taken into account and discussed and presented graphically.

Highlights

Viscous dissipation changes the temperature distributions by playing a role like an energy source, which leads to affected heat transfer rates
Heat transfer analysis over porous surface is of much practical interest due to its abundant applications, such as, heat-treated materials traveling between a feed roll and wind-up roll, materials manufactured by extrusion, glass-fiber and paper production, cooling of metallic sheets, electronic chips and crystal growing
How to cite this paper: Uddin, Md.S. (2015) Viscous and Joules Dissipation on MHD Flow past a Stretching Porous Surface Embedded in a Porous Medium

Summary

Introduction

Viscous dissipation changes the temperature distributions by playing a role like an energy source, which leads to affected heat transfer rates. Sajid et al [3] investigated the non-similar analytic solution for MHD flow and heat transfer in a third-order fluid over a stretching sheet. He found that the skin friction coefficient decreased as the magnetic parameter or the third grade parameter increased. A mathematical analysis has been carried out on momentum and heat transfer characteristics in an incompressible, electrically conducting viscoelastic boundary layer fluid flow over a linear stretching sheet by Abel et al [4]. The present study investigates the effect viscous and Joules dissipation on MHD flow, heat and mass transfer over a porous surface embedded in a porous medium for rotating case

Mathematical Analysis

Results and Discussions

Conclusion