Journal of Applied Mathematics and Mechanics (about journal) Journal of Applied
Mathematics and Mechanics

Russian Academy of Sciences
 Founded
in January 1936
(Translated from 1958)
Issued 6 times a year
ISSN 0021-8928
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IssuesArchive of Issues2015-5pp.459-466

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O.V. Kaptsov and A.V. Shmidt, "A three-dimensional semi-empirical model of a far turbulent wake," J. Appl. Math. Mech. 79 (5), 459-466 (2015)
Year 2015 Volume 79 Issue 5 Pages 459-466
DOI 10.1016/j.jappmathmech.2016.03.007
Title A three-dimensional semi-empirical model of a far turbulent wake
Author(s) O.V. Kaptsov (Institute of Computer Modeling, Siberian Branch of the Russsian Academy of sciences, Krasnoyarsk, Russia)
A.V. Shmidt (Institute of Computer Modeling, Siberian Branch of the Russsian Academy of sciences, Krasnoyarsk, Russia, schmidt@icm.krasn.ru)
Abstract A three-dimensional semi-empirical model of turbulence in the approximation of a far wake behind an axisymmetric self-propelled body is considered. The required quantities are the kinetic energy of the turbulence, the rate of dissipation of the kinetic energy of the turbulence, the mean density defect and the density fluctuation dispersion. A group-theoretic analysis is performed on the system of ordinary differential equations which is solved numerically. The solutions constructed are in good agreement with experimental data.
Received 14 November 2014
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