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This article is cited in 2 scientific papers (total in 2 papers)
Nonlinear features of a fluid flow in the elastic pipeline
A. N. Volobuev Samara State Medical University, Department of Medical Physics, Samara
Abstract:
Process of a fluid flow in the elastic pipeline with the fixed ends is considered. It is shown that in such pipeline probably occurrence of auto-oscillations of a wall and a fluid stream or flutter of a skin mode. The solution of a system of the nonlinear hydrodynamical equations describing these auto-oscillations in elementary functions is submitted. It is shown that standing waves in the elastic pipeline arise not owing to summation of direct and return running waves.
Keywords:
elastic pipeline, nonlinear system, auto-oscillations, standing waves.
Received: 30.05.2018 Revised: 17.09.2018 Accepted: 19.11.2018
Citation:
A. N. Volobuev, “Nonlinear features of a fluid flow in the elastic pipeline”, Matem. Mod., 31:6 (2019), 43–54; Math. Models Comput. Simul., 12:1 (2020), 53–59
Linking options:
https://www.mathnet.ru/eng/mm4079 https://www.mathnet.ru/eng/mm/v31/i6/p43
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Abstract page: | 320 | Full-text PDF : | 135 | References: | 52 | First page: | 9 |
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