Open AccessShock polars for non-polytropic compressible potential flow
Author(s) -
Volker Elling
Publication year - 2022
Publication title -
communications on pure and applied analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.077
H-Index - 42
eISSN - 1553-5258
pISSN - 1534-0392
DOI - 10.3934/cpaa.2022032
Subject(s) - mach number , shock (circulatory) , polytropic process , physics , equation of state , compressibility , compressible flow , flow (mathematics) , monotone polygon , mechanics , polar , mathematics , mathematical analysis , geometry , thermodynamics , quantum mechanics , medicine
We consider compressible potential flow for general equations of state. Assuming hyperbolicity and convex equation of state, we prove that shock polars have a unique critical point (in each half), as well as a unique sonic point, with critical and strong shocks always on the subsonic side. We also show existence of normal and oblique shocks, as well as monotonicity of density, enthalpy, pressure along each half-polar, with Mach number monotone only along the subsonic part.