On instability of steady-state three-dimensional flows of an ideal compressible fluid

On instability of steady-state three-dimensional flows of an ideal compressible fluid Full article

Journal

AIP Conference Proceedings
ISSN: 0094-243X

Output data

Year: 2018, Volume: 2027, Article number : 030025, Pages count : 12 DOI: 10.1063/1.5065119

Authors

Gubarev Yuriy G. ^1,2

Affiliations

1	Laboratory for Fluid and Gas Vortex Motions, Lavrentyev Institute for Hydrodynamics, Novosibirsk, 630090, Russian Federation
2	Department for Differential Equations, Novosibirsk State University, Novosibirsk, 630090, Russian Federation

The problem on linear stability of stationary spatial flows of an inviscid compressible fluid entirely occupying a certain volume with quiescent solid impenetrable boundary in absence of external mass forces is studied. Applying the direct Lyapunov method, such flows are proved to be absolutely unstable under small three-dimensional (3D) perturbations. Constructive conditions for linear practical instability are obtained. The a priori exponential lower estimate for the growth of the considered perturbations in time is found.

Gubarev Y.G.
On instability of steady-state three-dimensional flows of an ideal compressible fluid
AIP Conference Proceedings. 2018. V.2027. 030025 :1-12. DOI: 10.1063/1.5065119 Scopus РИНЦ OpenAlex

Scopus:	2-s2.0-85056358222
Elibrary:	37263104
OpenAlex:	W3025884488

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