The essential point of view in this paper is to reexamine the hypersonic small-disturbance theory. A systematic and rigorous approach for obtaining the nonlinear asymptotic equation for hypersonic flow past a circular cone from the Taylor-Maccoll equation is exhibited by considering a general asymptotic expansion of the unified supersonic-hypersonic similarity parameter together with the stretched coordinate. The successive approximate solutions of the nonlinear hypersonic small-disturbance equation were solved by iteration. Both of these approximations provide a closed-form solution, which is convenient to apply in more complicated flow problems.
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