AN ESTIMATE OF VELOCITY PROFILE IN LAMINAR BOUNDARY LAYER

Abstract

This paper examines the boundary layer thickness developed for an incompressible viscous fluid flowing over a flat plate. The solution of the Blasius problem is considered. In this paper, the authors propose a polynomial variation for velocity u in the boundary layer for the governing partial differential equations(pdes) that are solved by the integral method. A known solution that is close to the Blasius solution given by the sine function together with Balsius solution are compared with the proposed profile. The boundary layer thickness (δ),the skin friction coefficients (Cf ) and the coefficients of drag (CD) obtained are compared in all cases. The proposed velocity profile agrees fairly well to within 3.6% error with the known solutions.