A THEORY OF ASYMMETRIC HYPERSONIC BLUNT-BODY FLOWS
STANFORD UNIV CA
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The problem of supersonic and hypersonic flow past blunt bodies at small angles of attack is considered. Two-dimensional asymmetric as well as three-dimensional flow is analyzed. The method of analysis is an inverse one, that is, the shock-wave shape and free stream conditions are known, and the corresponding body shape and flow field are determined. Solutions at zeroANGLE OF ATTACK ARE OBTAINED AS A SPECIAL CASE OF THE GENERAL PROBLEM. Results at zero angle are obtained for shock waves that are portions of circles, parabolas, spheres, and paraboloids of revolution at a free stream Mach number of infinity and ratio of specific heats of 1.4. Results are obtained for parabolic and paraboloidal shock waves at small angle of attack and infinite free stream Mach number. A symmetrical shock wave at angle of attack is produced by a body that is asymmetric to the shock axis of symmetry. However, a conic section may be fitted to the converged body shape out to the sonic point. This is done for the third-truncation body that produces a parabolic shock at angle of attack of 10 degrees. The body is closely approximated by a prolate ellipse at angle of attack of 14.2 degrees.
- Fluid Mechanics