Analytical study for hypersonic flow past an elliptic cone with longitudinal curvature

摘要

For hypersonic flow past an elliptic cone with longitudinal curvature, the outer-expansion analysis of shock layer and the inner-expansion analysis of the vortical layer are two major subjects of this study. ^The zeroth-order approximation of hypersonic conical flow obtained by nonlinear asymptotic theory is chosen as the basic-cone solution for the outer and inner expansions. ^In the outer analysis of the shock layer, the complicated governing equation of the outer flow field can be simplified by the appropriate approximation scheme, and the first-order approximations of properties are derived. ^In accordance with the asymptotic matching principle, the uniformly-valid approximation can be obtained and expressed in closed form. ^It is verified that the perturbation pressure and azimuthal velocity from outer solutions are actually the perturbation expansion values from inner solutions. ^Analysis of inner solutions illustrates the rapid variations on entropy and density of the vortical layer. ^(Author)