Similarity Solution of Unsteady Convective Laminar Boundary Layer Flow about a Vertical Porous Surface with Suction and Blowing

Abstract

In this dissertation, similarity solution of unsteady laminar combined free and forced convective boundary layer flow past a vertical porous plate in viscous incompressible fluid with suction and blowing has been investigated Firstly, the governing boundary layer partial differential equations have been made dimensionless and then simplified by using Boussinesq approximation. Secondly, similarity transformations are then introduced on the basis of detailed analysis in order to transform the simplified coupled partial differential equations into a set of ordinary differential equations. The transformed complete similarity equations are solved numerically by using Nachtscheim-Swigert shooting iteration technique along with sixth order Runga-Kutta method. The flow phenomenon has been characterized with the help of obtained flow controlling parameters such as suction parameter, buoyancy parameter, Prandtl number and other driving parameters. Finally the effects of involved parameters on the velocity and temperature distributions are presented graphically. It is found that a small suction or blowing can play a significant role on the patterns of flow and temperature fields.