MHD Flow of a Viscous Fluid over an Exponentially Stretching Sheet in a Porous Medium

Iftikhar Ahmad,Aamar Abbasi,Muhmmad Sajid,Muhammad Rafique,Manzoor Ahmed,Wajid Aziz,Moeen Taj,Wasim Awan

doi:10.1155/2014/256761

Abstract

Radiation effects on magnetohydrodynamic (MHD) boundary-layer flow and heat transfer characteristic through a porous medium due to an exponentially stretching sheet have been studied. Formulation of the problem is based upon the variable thermal conductivity. The heat transfer analysis is carried out for both prescribed surface temperature (PST) and prescribed heat flux (PHF) cases. The developed system of nonlinear coupled partial differential equations is transformed to nonlinear coupled ordinary differential equations by using similarity transformations. The series solutions for the transformed of the transformed flow and heat transfer problem were constructed by homotopy analysis method (HAM). The obtained results are analyzed under the influence of various physical parameters.

Highlights

Since the revolutionary work of Sakiadis [1, 2] on boundarylayer flow past a moving surface a great deal of research work has been carried out for the two-dimensional boundary-layer flows
Three-dimensional flow due to a stretching surface was analyzed by McLeod and Rajagopal [6]
Extensive literature is available regarding the steady flows in Newtonian and non-Newtonian fluid flows over a stretching sheet

Summary

Introduction

Since the revolutionary work of Sakiadis [1, 2] on boundarylayer flow past a moving surface a great deal of research work has been carried out for the two-dimensional boundary-layer flows. Crane [3] extended the Sakiadis [1, 2] flow problem by assuming a stretching boundary. The heat and mass transfer on the flow past a porous stretching surface is discussed by P. In another paper Wang [7] extended Crane’s problem for a stretching cylinder. Flow problems due to a stretching surface have important applications in technology, geothermal energy recovery, and manufacturing process such as oil recovery, artificial fibers, metal extrusion, and metal spinning. The transportation of heat in a porous medium has applications in geothermal systems, rough oil mining, soil-water contamination, and biomechanical problems. Vajravelu [15] reported steady flow and heat transfer of viscous fluids by considering different heating process in a porous medium

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