Flow Regimes in a Flat Elastic Channel in Presence of a Local Change of Wall Stiffness Full article
| Journal |
Journal of Applied and Industrial Mathematics
ISSN: 1990-4789 |
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| Output data | Year: 2019, Volume: 13, Number: 2, Pages: 270-279 Pages count : 10 DOI: 10.1134/s199047891902008x | ||||
| Tags | pseudoshock; self-oscillations; shallow water equations | ||||
| Authors |
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| Affiliations |
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Funding (1)
| 1 | Российский фонд фундаментальных исследований | 19-01-00498 |
Abstract:
Some mathematical model is proposed of a flow in a long channel with compliant walls. This model allows us to describe both stationary and nonstationary (self-oscillatory) regimes of motion. The model is based on a two-layer representation of the flow with mass exchange between the layers. Stationary solutions are constructed and their structure is under study. We perform the numerical simulation of various flow regimes in presence of a local change of the wall stiffness. In particular, the solutions are constructed that describe the formation of a monotonic pseudoshock and the development of nonstationary self-oscillations.
Cite:
Liapidevskii V.Y.
, Khe A.K.
, Chesnokov A.A.
Flow Regimes in a Flat Elastic Channel in Presence of a Local Change of Wall Stiffness
Journal of Applied and Industrial Mathematics. 2019. V.13. N2. P.270-279. DOI: 10.1134/s199047891902008x Scopus РИНЦ OpenAlex
Flow Regimes in a Flat Elastic Channel in Presence of a Local Change of Wall Stiffness
Journal of Applied and Industrial Mathematics. 2019. V.13. N2. P.270-279. DOI: 10.1134/s199047891902008x Scopus РИНЦ OpenAlex
Original:
Ляпидевский В.Ю.
, Хе А.К.
, Чесноков А.А.
Режимы течения в плоском эластичном канале при наличии локального изменения жесткости стенок
Сибирский журнал индустриальной математики. 2019. Т.22. №2. С.37-48. DOI: 10.33048/sibjim.2019.22.204 РИНЦ OpenAlex
Режимы течения в плоском эластичном канале при наличии локального изменения жесткости стенок
Сибирский журнал индустриальной математики. 2019. Т.22. №2. С.37-48. DOI: 10.33048/sibjim.2019.22.204 РИНЦ OpenAlex
Dates:
| Submitted: | Jan 21, 2019 |
| Accepted: | Mar 14, 2019 |
| Published print: | Jun 13, 2019 |
Identifiers:
| Scopus: | 2-s2.0-85067276005 |
| Elibrary: | 41635619 |
| OpenAlex: | W2950207144 |