STUDIES ON DISSOCIATING GASDYNAMICS. PART 2.HYPERSONIC SMALL PERTURBATION THEORY WITH EQUILIBRIUM DISSOCIATION AND IONIZATION OF AIR FOR BODIES ASSOCIATED WITH POWER LAW SHOCK WAVES

摘要

The inviscid equilibrium hypersonic flow associated with a power-law shock is investigated. Despite the thermodynamic com¬plexity involved in the phenomenon of equilibrium dissociation and ionization of air, the flow in the shock layer is still charac¬terized by the self-similar nature in the zeroth approximation. In the first part of this paper, an analytical formulation is pre¬sented for a pure dissociating gas in thermal equilibrium. It is noticed that this formulation includes a system of six ordinary differential equations and can be applied to a pure gas only. Furthermore, the region of uniform validity of these solutions ex¬cludes the neighborhood of the body surface because of the effects of the entropy layer. In order to obtain a method which would apply to a mixture of gases and partly take into account the entropy layer effects the locally similar solution approach is proposed in the second part of the paper. Data from the thermodynamic tables are used to replace the thermodynamic equations necessary for the calculations. Thus a more concise system of equations is obtained. This concept of local similarity is examined both analytically and in terms of numerical accuracy. A numerical example is provided and discussed.