Strong Blowing across a Couette-Poiseuille Shear Flow

Abstract

A theoretical study of mass injection into laminar viscous flows is made using an idealized Couette-Poiseuille shear flow model. Emphasis is placed on an examination of the massive blowing regime. Closed-form solutions are obtained in a unified form applicable to either two-dimensional or axisymmetric flow including heat transfer and the effects of both axial and blowing-induced lateral pressure gradients. The analysis shows that shear layer blowoff from the blown surface occurs for sufficiently strong injection, and that its onset is appreciably delayed by three-dimensional relief effects. The flow in this asymptotic regime has a two-layered structure whose basic character depends critically on whether or not an axial pressure gradient is present. The flow work effect of the blowing-induced lateral pressure gradients is also shown to influence the structure of the temperature field if the injection kinetic energy is sufficiently large.