The supersonic flow past a circular cone at incidence

Abstract

The problem of calculating the supersonic flow past a circular cone at small incidence α is treated by the method of inner and outer expansions, on the assumption that it can be expressed as a perturbation (in powers of α) of the corresponding axially symmetric flow. Stone's first-order solution, and the first-order vortical-layer solution are connected as the first-order terms in the outer and inner expansions for the flow. It is shown that the logarithmic infinities which occurred in Stone's second-order solution are removed from the final (composite) solution for second-order terms by application of the generalized matching principle, and the second-order terms in the expansions of the inner solution are obtained.