MHD Mixed Convective Boundary Layer Flow of a Nanofluid through a Porous Medium due to an Exponentially Stretching Sheet

M Ferdows,Shuyu Sun,Md Shakhaoath Khan,Md Mahmud Alam

doi:10.1155/2012/408528

Abstract

Magnetohydrodynamic (MHD) boundary layer flow of a nanofluid over an exponentially stretching sheet was studied. The governing boundary layer equations are reduced into ordinary differential equations by a similarity transformation. The transformed equations are solved numerically using the Nactsheim‐Swigert shooting technique together with Runge‐Kutta six‐order iteration schemes. The effects of the governing parameters on the flow field and heat transfer characteristics were obtained and discussed. The numerical solutions for the wall skin friction coefficient, the heat and mass transfer coefficient, and the velocity, temperature, and concentration profiles are computed, analyzed, and discussed graphically. Comparison with previously published work is performed and excellent agreement is observed.

Highlights

The study of Magnetohydrodynamics MHD boundary layer flow on a continuous stretching sheet has attracted considerable attention during the last few decades due to its numerous applications in industrial manufacturing processes such as the aerodynamic extrusion of plastic sheets, liquid film, hot rolling, wire drawing, glass fiber and paper production, drawing of plastic films, metal, and polymer extrusion, and metal spinning
Crane 1 was the first to consider the boundary layer flow caused by a stretching sheet which moves with a velocity varying linearly with the distance from a fixed point
Partha et al 4 investigated the effect of viscous dissipation on the mixed convection heat transfer from an exponentially stretching surface

Summary

Introduction

The study of Magnetohydrodynamics MHD boundary layer flow on a continuous stretching sheet has attracted considerable attention during the last few decades due to its numerous applications in industrial manufacturing processes such as the aerodynamic extrusion of plastic sheets, liquid film, hot rolling, wire drawing, glass fiber and paper production, drawing of plastic films, metal, and polymer extrusion, and metal spinning. Gorla et al 16, 17 solved the nonsimilar problem of free convective heat transfer from a vertical plate embedded in a saturated porous medium with an arbitrary varying surface temperature. In this model, Brownian motion and Thermophoresis are accounted with the simplest possible boundary conditions. Brownian motion and Thermophoresis are accounted with the simplest possible boundary conditions They studied Cheng– Minkowycz problem for natural convective boundary-layer flow in a porous medium saturated by a nanofluid. Very recently Shakhaoath et al 42, 43 investigate the effects of thermal radiation and magnetic field on the boundary layer flow of a nanofluid over a stretching surface. The velocity, temperature, and concentration distributions are discussed and presented graphically, and the skin-friction coefficient, the surface heat, and mass transfer rate at the sheet are investigated

Mathematical Formulation

Numerical Technique

Results and Discussions

Conclusions