Stability analysis of the laminar boundary layer flow

Abstract

In this thesis, stability analysis of incompressible laminar boundary layer flow is presented in detail for various test cases, For this approach, the partial differential equallon is converted into ordinary differential equation by suitable approximation. Then by using implicit finite difference scheme to find the point of separations of the boundary layer equallons. The fmite difference equations for the given flo,", at each longitudinal position form a linear set with a In diagonal coefficient matrix. To ensure the correCI results, above method is checked with standard flows like flow past circular cylinder, Howarth's linear decelerating flows. These methods are demonstrated to compute accurately the separation points of several flows for which comparisons the outcomes of this work with prcvlOusly published results are possible. Then variOl.lsseries are tested WIth complller codes. At last the stability diagram for plane pOiseuille flow is also shown.