Viscous Shock Layer Solutions for Hypersonic Sphere-Cones
Abstract
An analysis and numerical solution of the fully viscous shock layer equations for hypersonic flow past spherically blunted cones is presented. Attention is drawn to the adverse effect in the numerical solution due to discontinuities in the flow derivatives caused by the discontinuity in the surface curvature at the sphere/cone tangency point, when the usual surface coordinate frame of reference is used. It is shown that a finite difference formulation that accounts for the imbedded gradient discontinuities resolves these numerical difficulties. This concept is demonstrated through a numerical scheme which utilizes a time dependent relaxation technique for the bow shock shape. A model problem analogous to the sphere/cone juncture problem is first formulated and finite difference schemes developed and demonstrated for this case. This approach is then extended to the solution of the viscous shock layer equations for hypersonic flow past spherically blunted cones with half cone angles varying from 30 deg to 0 deg at high Reynolds number. For these cases the present results are found to compare well with independent inviscid flow calculations. In addition, excellent comparisons with experimental pressure and heat transfer data on a 7.5 deg half angle cone are obtained.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jan 01, 1977
- Accession Number
- ADA035335
Entities
People
- B. N. Srivastava
- M. J. Werle
- R. T. Davis
Organizations
- University of Cincinnati