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JOURNALS // Matematicheskoe modelirovanie // Archive

Mat. Model., 2019 Volume 31, Number 6, Pages 43–54 (Mi mm4079)

This article is cited 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

DOI: 10.1134/S0234087919060030


 English version:
Mathematical Models and Computer Simulations, 2020, 12:1, 53–59

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© Steklov Math. Inst. of RAS, 2025