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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 1999, Volume 40, Issue 1, Pages 27–35
(Mi pmtf3026)
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This article is cited in 1 scientific paper (total in 1 paper)
On the existence of three solutions for a supercritical steady flow of a heavy fluid over obstructions
K. E. Afanas'ev, S. V. Stukolov Kemerovo State University
Abstract:
The paper is devoted to the solution of the steady problem of ideal incompressible fluid flow over a semi-circular cylinder located at the bottom. Calculations showed that the problem has at least three solutions for the Froude number. In the absence of an obstruction at the bottom, the proposed algorithm allows one to construct solitary waves up to limiting waves. The paper reports the most important wave characteristics: circulation, mass, and potential and kinetic energy. Analysis of the calculation results leads to the conclusion that all maximum values of the solitary-wave characteristics are attained before the maximum amplitude and the maximum of the mass does not coincide with the maxima of the total energy and the Froude number.
Received: 26.05.1997 Accepted: 03.07.1997
Citation:
K. E. Afanas'ev, S. V. Stukolov, “On the existence of three solutions for a supercritical steady flow of a heavy fluid over obstructions”, Prikl. Mekh. Tekh. Fiz., 40:1 (1999), 27–35; J. Appl. Mech. Tech. Phys., 40:1 (1999), 20–27
Linking options:
https://www.mathnet.ru/eng/pmtf3026 https://www.mathnet.ru/eng/pmtf/v40/i1/p27
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