Nonlinear features of a fluid flow in the elastic pipeline
Matematičeskoe modelirovanie, Tome 31 (2019) no. 6, pp. 43-54

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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, standing waves.
Mots-clés : auto-oscillations
@article{MM_2019_31_6_a2,
     author = {A. N. Volobuev},
     title = {Nonlinear features of a fluid flow in the elastic pipeline},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {43--54},
     publisher = {mathdoc},
     volume = {31},
     number = {6},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2019_31_6_a2/}
}
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A. N. Volobuev. Nonlinear features of a fluid flow in the elastic pipeline. Matematičeskoe modelirovanie, Tome 31 (2019) no. 6, pp. 43-54. http://geodesic.mathdoc.fr/item/MM_2019_31_6_a2/