Mixing in turbulent axially symmetric free jets

Abstract

An analysis to solve mixing problems involving momentum, energy, and mass transfer in turbulent axially symmetric compressible flow is presented. The method is based on the linearization of the conservation equations in the plane of the von Mises variables while retaining the essential nonlinear nature of the equations in the physical plane. The application of this method to a laminar flow problem has been shown to be in good agreement with a numerical solution of the boundary-layer equations obtained by Pai. The extension of the method to turbulent flow requires an expression for the eddy viscosity. A possible modification of Prandtl's formulation, suggested by Ferri, is investigated. When this expression for eddy viscosity is introduced, the application of the present method to compressible turbulent flow yields analytical results that are in good agreement with available experimental data.