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This article is cited in 3 scientific papers (total in 3 papers)
Flow regimes in a flat elastic channel in presence of a local change of wall stiffness
V. Yu. Liapidevskiiab, A. K. Kheab, A. A. Chesnokovba a Novosibirsk State University, ul. Pirogova 2, 630090 Novosibirsk
b Lavrentyev Institute of Hydrodynamics SB RAS,
pr. Akad. Lavrentyeva 15, 630090 Novosibirsk
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.
Keywords:
shallow water equations, pseudoshock, self-oscillations.
Received: 21.01.2019 Revised: 21.01.2019 Accepted: 14.03.2019
Citation:
V. Yu. Liapidevskii, A. K. Khe, A. A. Chesnokov, “Flow regimes in a flat elastic channel in presence of a local change of wall stiffness”, Sib. Zh. Ind. Mat., 22:2 (2019), 37–48; J. Appl. Industr. Math., 13:2 (2019), 270–279
Linking options:
https://www.mathnet.ru/eng/sjim1041 https://www.mathnet.ru/eng/sjim/v22/i2/p37
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Abstract page: | 355 | Full-text PDF : | 169 | References: | 53 | First page: | 11 |
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