Numerical Solutions of the Flow Field for Conical Bodies in a Supersonic Stream

摘要

A numerical procedure for solving the problem of steady supersonic inviscid flow around smooth conical bodies is presented. Results are obtained by solving the elliptic partial differential equations that define the conical flow between the body and the shock. Results are given for circular cones up to moderately high relative incidences, including some cases for incidences beyond a critical value at which the entropy singularity moves from the surface. Also presented are a few results for elliptic cones at zero and non-zero incidence, as well as results for another conical body whose cross section is defined by a fourth order even cosine Fourier series. The applicability of the method can be limited by the entropy singularity moving too far away from the surface by the flow field containing regions of locally conically supersonic flow, or by the shock wave approaching very close to the Mach wave. Comparison of results shows excellent agreement with other theoretical methods and also with experimental results. The method is efficient in computer time. (Author)