High-Temperature Effects on Supersonic Flow around a Wedge

Abstract

The development of the flow pattern that arises during the interaction of a shock wave with a wedge is discussed. Mathematical modeling of the flow around the wedge is carried out with Euler equations. These equations describe the unsteady flow of an inviscid compressible fluid around a wedge in a two-dimensional domain. To take into account high-temperature effects on super- and hypersonic flows, the model developed takes into account equilibrium chemical reactions in the air, ionization, and dissociation processes. The initial parameters of the flow are set equal to the parameters of the flow behind the shock wave in accordance with the Rankine–Hugoniot relations. The solutions to the problem obtained with the model of ideal perfect gas and the model taking into account high-temperature effects in the air are compared. The influence of high-temperature effects on the distribution of flow quantities is discussed.