Nonlinear asymptotic theory of hypersonic flow past a circular cone (Q1265356)

We reexamine the hypersonic small-disturbance theory. A systematic and rigorous approach is proposed to obtain the nonlinear asymptotic equation from the Taylor-Maccoll equation for hypersonic flow past a circular cone. Using this approach, we consider a general asymptotic expansion in a unified supersonic-hypersonic similarity parameter together with the stretched coordinate. The successive approximate solutions of the nonlinear hypersonic small-disturbance equation are found by iteration. Both of these approximations provide closed-form solutions, which are suitable for the analysis of various related flow problems.