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- Title
Detached Shock Past a Blunt Body.
- Authors
Bae, Myoungjean; Xiang, Wei
- Abstract
In R 2 , a symmetric blunt body W b is fixed by smoothing out the tip of a symmetric wedge W 0 with the half-wedge angle θ w ∈ (0 , π 2) . We first show that if a horizontal supersonic flow of uniform state moves toward W 0 with a Mach number M ∞ > 1 being sufficiently large depending on θ w , then the half-wedge angle θ w is less than the detachment angle so that there exist two shock solutions, a weak shock solution and a strong shock solution, with the shocks being straight and attached to the vertex of the wedge W 0 . Such shock solutions are given by a shock polar analysis, and they satisfy entropy conditions. The main goal of this work is to construct a detached shock solution of the steady Euler system for inviscid compressible irrotational flow in R 2 ∖ W b . Especially, we seek a shock solution with the far-field state given as the strong shock solution obtained from the shock polar analysis. Furthermore, we prove that the detached shock forms a convex curve around the blunt body W b if the Mach number of the incoming supersonic flow is sufficiently large, and if the boundary of W b is convex.
- Subjects
MACH number; SUPERSONIC flow; COMPRESSIBLE flow; CONVEX bodies; INVISCID flow
- Publication
Acta Applicandae Mathematicae, 2023, Vol 188, Issue 1, p1
- ISSN
0167-8019
- Publication type
Article
- DOI
10.1007/s10440-023-00617-y