Stability Analysis of the Laminar Boundary Layer Flow

Abstract

In this paper, stability analysis of incompressible laminar boundary layer flow is presented. For this approach, the partial differential equation is converted to ordinary differential equation by suitable approximation. The implicit finite difference scheme is used to find the point of separations of the boundary layer equations. The finite difference equations for the given flow at each longitudinal position form a linear set with a tridiagonal coefficient matrix. To ensure the correct results, the methods are 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 are made with previously published results. Then various series are tested with computer codes. At last, the stability diagram for plane poiseuille flow is shown.

Key words: Stability; finite difference scheme; point of separation

GANIT J. Bangladesh Math. Soc. (ISSN 1606-3694) 29 (2009) 23-34 

DOI: http://dx.doi.org/10.3329/ganit.v29i0.8512