Flow Regimes in a Flat Elastic Channel in Presence of a Local Change of Wall Stiffness
- Authors: Liapidevskii V.Y.1,2, Khe A.K.1,2, Chesnokov A.A.1,2
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Affiliations:
- Lavrent’ev Institute of Hydrodynamics
- Novosibirsk State University
- Issue: Vol 13, No 2 (2019)
- Pages: 270-279
- Section: Article
- URL: https://journals.rcsi.science/1990-4789/article/view/213173
- DOI: https://doi.org/10.1134/S199047891902008X
- ID: 213173
Cite item
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
About the authors
V. Yu. Liapidevskii
Lavrent’ev Institute of Hydrodynamics; Novosibirsk State University
Author for correspondence.
Email: liapid@hydro.nsc.ru
Russian Federation, pr. Akad. Lavrent’eva 15, Novosibirsk, 630090; ul. Pirogova 1, Novosibirsk, 630090
A. K. Khe
Lavrent’ev Institute of Hydrodynamics; Novosibirsk State University
Author for correspondence.
Email: alekhe@hydro.nsc.ru
Russian Federation, pr. Akad. Lavrent’eva 15, Novosibirsk, 630090; ul. Pirogova 1, Novosibirsk, 630090
A. A. Chesnokov
Lavrent’ev Institute of Hydrodynamics; Novosibirsk State University
Author for correspondence.
Email: chesnokov@hydro.nsc.ru
Russian Federation, pr. Akad. Lavrent’eva 15, Novosibirsk, 630090; ul. Pirogova 1, Novosibirsk, 630090