On Velocity Distribution and Local Skin Friction of Two-dimensional Turbulent Boundary Layer with Pressure Gradient

Abstract

A method is described for calculating velocity distribution in the turbulent boundary layer with pressure gradient, utilizing Pohlhausen's method to solve laminar flow problems. The calculated velocity profile in the boundary layer is given in Eq. (5), which shows the velocity is expressed as the sum of two terms : one determined by the shearing stress at the wall and the other by the pressure gradients. The integration of the velocity profile and some calculation following it lead to a new formula for the local frictional coefficient, Eq. (14). Several features concerning the effect of pressure gradients on the boundary layer characteristics are also discussed.