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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2001, Volume 42, Issue 4, Pages 76–87
(Mi pmtf2798)
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This article is cited in 2 scientific papers (total in 2 papers)
Axisymmetric vortex fluid flow in a long elastic tube
A. A. Chesnokov Lavrent'ev Institute of Hydrodynamics, Siberian Division, Russian Academy of Sciences, Novosibirsk, 630090
Abstract:
A mathematical model for axisymmetric eddy motion of a perfect incompressible fluid in a long tube with thin elastic walls is proposed. Necessary and sufficient conditions for hyperbolicity of the system of equations of motion for flows with monotonic radial velocity profiles are formulated. The propagation velocities of the characteristics of the system under study and the characteristic shape of this system are calculated. The existence of simple waves continuously attached to a given steady shear flow is proved. The group of transformations admitted by the system is found, and submodels that determine invariant solutions are given. By integrating factor-systems, new classes of exact solutions of equations of motion are found.
Received: 21.12.2000
Citation:
A. A. Chesnokov, “Axisymmetric vortex fluid flow in a long elastic tube”, Prikl. Mekh. Tekh. Fiz., 42:4 (2001), 76–87; J. Appl. Mech. Tech. Phys., 42:4 (2001), 628–637
Linking options:
https://www.mathnet.ru/eng/pmtf2798 https://www.mathnet.ru/eng/pmtf/v42/i4/p76
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Abstract page: | 36 | Full-text PDF : | 25 |
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