Self-similar solutions to the complete system of Navier-Stokes equations for axially symmetric swirling flows of a viscous compressible gas.
type: Item
instance of: scholarly article
title: Self-similar solutions to the complete system of Navier-Stokes equations for axially symmetric swirling flows of a viscous compressible gas.
zbMATH Open document ID: 1114.35331
author: V. V. Shchennikov
author: Sergey V. Ershkov
published in: Computational Mathematics and Mathematical Physics
publication date: 2003-07-01T00:00:00Z
review text: The authors extend the previously introduced concept of conic self-similar flow to provide a basis for constructing a class of scaling functions that reduce the complete Navier-Stokes equations for homogeneous viscous compressible gas to a self-similar form invariant with respect to the equation of state. This invariance makes it possible to split the complete system of self-similar equations into two independent subsystems: a kinematic one (with pressure eliminated) and a thermo-kinematic one (with pressure and velocities eliminated).
Mathematics Subject Classification ID: 35Q30
Mathematics Subject Classification ID: 76D05
zbMATH DE Number: 1940638
zbMATH Keywords: viscous compressible gas
zbMATH Keywords: self-similar solutions
zbMATH Keywords: axially symmetric swirling flows
zbMATH Keywords: Navier-Stokes equations
zbMATH Keywords: scaling functions
zbMATH Keywords: invariant
reviewed by: A. Tret'yakov
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1940638