The two-dimensional (2D) pseudo-steady isothermal flow, which is isentropic and irrotational, around a convex corner is studied. The self-similar solutions for the supersonic flow around the convex corner are constructed, where the properties of the centered simple wave are used for the 2D isentropic irrotational pseudo-steady Euler equations. The geometric procedures of the center simple waves are given. It is proven that the supersonic flow turns the convex corner by an incomplete centered expansion wave or an incomplete centered compression wave, depending on the conditions of the downstream state.
Wancheng SHENG, Aidi YAO
. Centered simple waves for the two-dimensional pseudo-steady isothermal flow around a convex corner[J]. Applied Mathematics and Mechanics, 2019
, 40(5)
: 705
-718
.
DOI: 10.1007/s10483-019-2475-6
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