Wave Structures in Ideal Gas Flows with an External Energy Source

Wave Structures in Ideal Gas Flows with an External Energy Source Full article

Journal

Proceedings of the Steklov Institute of Mathematics
ISSN: 0081-5438

Output data

Year: 2023, Volume: 322, Number: 1, Pages: 232-241 Pages count : 10 DOI: 10.1134/s0081543823040193

Authors

Chesnokov A.A. ¹

Affiliations

1	Lavrentyev Institute of Hydrodynamics, Siberian Branch of the Russian Academy of Sciences, pr. Lavrent’eva 15, Novosibirsk, 630090, Russia

We consider the propagation of plane waves in an ideal gas in the presence of external sources of energy inflow and dissipation. Using the Whitham criterion, we obtain conditions under which small perturbations of a constant solution are transformed into nonlinear quasiperiodic wave packets of finite amplitude that move in opposite directions. The structure of these wave packets is shown to be similar to roll waves in inclined open channels. We perform numerical calculations of the development of self-oscillations and the nonlinear interaction of waves. The calculations show that under a small harmonic perturbation of the initial equilibrium state, two types of wave structures can develop: roll waves and periodic two-peak standing waves.

Chesnokov A.A.
Wave Structures in Ideal Gas Flows with an External Energy Source
Proceedings of the Steklov Institute of Mathematics. 2023. V.322. N1. P.232-241. DOI: 10.1134/s0081543823040193 WOS Scopus РИНЦ OpenAlex

Чесноков А.А.
Волновые структуры в течениях идеального газа с внешним источником энергии
ТРУДЫ МАТЕМАТИЧЕСКОГО ИНСТИТУТА ИМЕНИ В.А. СТЕКЛОВА. 2023. Т.322. С.241–250. DOI: 10.4213/tm4334 РИНЦ OpenAlex

Submitted:	Nov 8, 2022
Accepted:	Mar 4, 2023
Published print:	Sep 1, 2023
Published online:	Dec 20, 2023

Web of science:	WOS:001127223100002
Scopus:	2-s2.0-85180224824
Elibrary:	64570940
OpenAlex:	W4390015292

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