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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2012, Volume 53, Issue 5, Pages 47–54
(Mi pmtf1400)
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This article is cited in 2 scientific papers (total in 2 papers)
Self-similar degeneration of the turbulent wake behind a body towed in a passively stratified medium
O. V. Kaptsova, A. V. Fominab, G. G. Chernykhc, A. V. Schmidta a Institute of Mathematical Modeling, Siberian Branch, Russian Academy of Sciences, Krasnoyarsk, 660041, Russia
b Kuzbass State Pedagogical Academy, Novokuznetsk, 654066, Russia
c Institute of Computational Technologies, Siberian Branch, Russian Academy of Sciences, Novosibirsk, 630090, Russia
Abstract:
A mathematical model of the far turbulent wake behind a towed body in a passively stratified medium, based on the known semi-empirical $e-\varepsilon$ model of turbulence, is considered. A grouptheoretical analysis of the model is performed. With the help of the method of B-determining equations, the model is reduced to a system of ordinary differential equations, which is solved numerically. The resultant solution is compared with a self-similar solution obtained by direct numerical integration of the differential equations at large distances from the body.
Keywords:
mathematical model of the far turbulent wake, towed body of revolution, passively stratified medium, $e-\varepsilon$ model of turbulence, group-theoretical analysis, method of B-determining equations, self-similar degeneration.
Received: 03.11.2011 Accepted: 28.12.2011
Citation:
O. V. Kaptsov, A. V. Fomina, G. G. Chernykh, A. V. Schmidt, “Self-similar degeneration of the turbulent wake behind a body towed in a passively stratified medium”, Prikl. Mekh. Tekh. Fiz., 53:5 (2012), 47–54; J. Appl. Mech. Tech. Phys., 53:5 (2012), 672–678
Linking options:
https://www.mathnet.ru/eng/pmtf1400 https://www.mathnet.ru/eng/pmtf/v53/i5/p47
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