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Real gas flows issued from a source

Real gas flows issued from a source Stationary adiabatic flows of real gases issued from a source of given intensity are studied. Thermodynamic states of gases are described by Legendrian or Lagrangian manifolds. Solutions of Euler equations are given implicitly for any equation of state and the behavior of solutions of the Navier–Stokes equations with the viscosity considered as a small parameter is discussed. For different intensities of the source we introduce a small parameter into the Navier–Stokes equation and construct corresponding asymptotic expansions. We consider the most popular model of real gases—the van der Waals model, and ideal gases as well. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Analysis and Mathematical Physics Springer Journals

Real gas flows issued from a source

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Publisher
Springer Journals
Copyright
Copyright © 2019 by Springer Nature Switzerland AG
Subject
Mathematics; Analysis; Mathematical Methods in Physics
ISSN
1664-2368
eISSN
1664-235X
DOI
10.1007/s13324-019-00349-z
Publisher site
See Article on Publisher Site

Abstract

Stationary adiabatic flows of real gases issued from a source of given intensity are studied. Thermodynamic states of gases are described by Legendrian or Lagrangian manifolds. Solutions of Euler equations are given implicitly for any equation of state and the behavior of solutions of the Navier–Stokes equations with the viscosity considered as a small parameter is discussed. For different intensities of the source we introduce a small parameter into the Navier–Stokes equation and construct corresponding asymptotic expansions. We consider the most popular model of real gases—the van der Waals model, and ideal gases as well.

Journal

Analysis and Mathematical PhysicsSpringer Journals

Published: Dec 23, 2019

References