GROUP THEORETIC METHOD ANALYSIS FOR UNSTEADY BOUNDARY LAYER FLOW NEAR A STAGNATION POINT

Abstract

An analysis of the problem of unsteady laminar boundary layer near a stagnation point is presented. The transformation group theoretic approach is applied to this problem. The application of two-parameter groups reduces the number of independent variables in the governing system consisting of partial differential equations and a set of auxiliary conditions from three to only one independent variable, and consequently the system of governing partial differential equations with boundary conditions reduces to a system of ordinary differential equations with appropriate boundary conditions. The possible forms of the main stream velocity and the surface temperature variations with position and time are derived. It is shown how not only we recover many of the previously known exact solutions but also find some completely new forms.