Analysis of Boundary Layer Flow and Heat Transfer along a Stretching Cylinder in a Porous Medium

Swati Mukhopadhyay

doi:10.5402/2012/704984

Abstract

This paper presents an axi-symmetric laminar boundary layer flow of a viscous incompressible fluid and heat transfer towards a stretching cylinder embedded in a porous medium. The partial differential equations corresponding to the momentum and heat equations are converted into highly nonlinear ordinary differential equations with the help of similarity transformations. Numerical solutions of these equations are obtained by shooting method. It is found that the velocity decreases with increasing permeability parameter. The skin friction as well as the heat transfer rate at the surface is larger for a cylinder compared to a flat plate.

Highlights

The study of hydrodynamic flow and heat transfer over a stretching cylinders or flat plates has gained considerable attention due to its applications in industries and important bearings on several technological processes
In order to analyse the results, numerical computation has been carried out using the method described in the previous section for various values of the curvature parameter (M), permeability parameter (k1), temperature exponent (N) and Prandtl number (Pr)
For the verification of accuracy of the applied numerical scheme, a comparison of the present results corresponding to the heat transfer coefficient [−θ/(0)] for k1 = 0 and M = 0 with the available published results of Ishak and Nazar f // (0)

Summary

Introduction

The study of hydrodynamic flow and heat transfer over a stretching cylinders or flat plates has gained considerable attention due to its applications in industries and important bearings on several technological processes. Crane [1] investigated the flow caused by the stretching of a sheet Many researchers such as Gupta and Gupta [2], Dutta et al [3], Chen and Char [4] extended the work of Crane [1] by including the effect of heat and mass transfer analysis under different physical situations. Flow over cylinders is considered to be two-dimensional if the body radius is large compared to the boundary layer thickness. Lin and Shih [15, 16] considered the laminar boundary layer and heat transfer along horizontally and vertically moving cylinders with constant velocity and found that the similarity solutions could not be obtained due to the curvature effect of the cylinder. Ishak and Nazar [17] showed that the similarity solutions may be obtained by assuming that the cylinder is stretched with linear velocity in the axial direction and claimed that their study may be regarded as the extension of the papers by Grubka and Bobba [18] and Ali [19], from a stretching sheet to a stretching cylinder

Methods

Results

Conclusion