Similar Solutions for Boundary Layers on Bodies of Revolution in Swirling Axial Streams

Abstract

The equation derived by Falkner and Skan has similar solutions for two-dimensional laminar boundary layer. It has received considerable attention and the existence and uniqueness of its solution have been investigated numerically and analytically. In this paper, similar solutions of the boundary layer which develops on stationary axisymmetric bodies of revolution in swirling axial streams are investigated. The meridional equation is the same as the Falkner-Skan equation except for the term representing the component of centrifugal force. The effect of rotation largely influences the solutions for equations. The existence of solution and branches similar to those in the Falkner-Skan equation are shown.