A Case Study of the Solution of Laminar Convective Boundary Layer Flow around a Vertical Slender Body with Transpirations

Abstract

In this thesis, a case of the similarity solution of laminar convective boundary layer flow around a vertical slender body with transpirations 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 introduced on the basis of detailed analysis in order to transform the simplified coupled partial differential equations into a set of ordinary differential equations. In the present thesis one of the important similarity case, out of four cases has been studied. Under the considered case, the transformed complete similarity equations are solved numerically by using computer software MATLAB. Further the flow phenomena have been characterized with the help of obtained flow controlling parameters such as suction/blowing parameter, buoyancy parameter, Prandtl number, body-radius parameter and other driving parameter. Finally, the effects of these involved parameters on the velocity and temperature fields are presented graphically. It is observed that a small suction or blowing played a significant role on the patterns of' flow and temperature fields.