Transonic gas flow with nonplanar shock waves

M. Yu. Kazakova

Novosibirsk State University, Novosibirsk, Russia

Abstract: One of the models to describe transonic gas flows using non-linear Karman–Guderley equation. This equation is used to simulation of gas flows in the vicinity of the sonic surface. The main goal of present study is to analyze the invariant solutions of the Karman–Guderley equation to describe three-dimensional gas flows with shock waves on nonplanar surfaces. To construct a solution has been investigated global behavior of integral curves. The study periods of solutions showed that there are possible cases of two nested wave on helical surface.

Keywords: transonic flow, invariant solution, Rankine–Hugoniot conditions, shock wave.

UDC: 533

Received: 12.03.2012

 English version: Journal of Mathematical Sciences, 2014, 203:4, 499–508