Shock polars for non-polytropic compressible potential flow-Reference-Cited by-同舟云学术

Shock polars for non-polytropic compressible potential flow

Published:2022 Issue:5 Volume:21 Page:1581
ISSN:1534-0392
Container-title:Communications on Pure and Applied Analysis
language:
Short-container-title:CPAA

Author:

Elling Volker W.¹

Affiliation:

1. Institute of Mathematics, Academia Sinica, 6F Astronomy-Mathematics Building, No. 1, Sec. 4, Roosevelt Rd., Taipei 106319, Taiwan

Abstract

<p style='text-indent:20px;'>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.</p>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

Applied Mathematics,Analysis,General Medicine

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