Solutions of the burnett Equations for Axisymmetric Hypersonic flow Past Spherical Blunt Bodies

摘要

There has been renewed interest in the Burnett equations for potential hypersonic flow applications in recent years. However, current Burnett solutions have been obtained for one- and planar two-dimensional flows only. The purpose of this paper is to extend the Burnett solutions to axisymmetric flows. The general three-dimensional components of the Burnett stress and heat-flux terms are derived from their tensor forms. Subsequently, the numerical solutions of the augmented Burnett equations are obtained for axisymmetric hypersonic flow past spherical blunt noses with a cold isothermal wall condition. The Burnett solutions are studied through comparison with Navier-Stokes solutions, and some available DSMC results at various free-stream Knudsen numbers and Mach numbers.