Abstract
The work presents a comparison of numerical models of a far turbulent wake of a towed elongated body of revolution in a homogeneous fluid: model based on the direct numerical simulation, and two semi-empirical models involving the equation of the turbulence energy balance. Computational results demonstrate the self-similarity of the decay and agree with known experimental data.
References
A.S. Ginevsky, Theory of Turbulent Jets and Wakes, Mashinostroenie, Moscow, 1969.
W. Rodi, The prediction of free turbulent boundary layers by use of two equation model of turbulence, Ph. D. Dissertation in Mechanical Engng, Imperial College, London, 1972.
V.I. Bukreev, O.F. Vasil’ev, and Yu.M. Lytkin, Influences of the shape of a body on the characteristics of a selfsimilar axisymmetric wake, Soviet Phys. Dokl., 1973, Vol. 17, P. 1144.
G.N. Abramovich, T.A. Girshovich, S.Yu. Krasheninnikov, A.N. Sekundov, and I.P. Smirnova, Theory of Turbulent Jets, Nauka, Moscow, 1984.
N.N. Fedorova and G.G. Chernykh, On the numerical modeling of axisymmetric turbulent wakes, Modelirovanie v mekhanike, 1992, Vol. 6 (23), No. 3, P. 141–159.
V.E. Kozlov, Self-similar solutions for an axisymmetric turbulent wake, J. Appl. Mech. Tech. Phys., 1995, Vol. 36, No. 5, P. 654–657.
J. Piquet, Turbulent flows. Models and Physics, Springer, Berlin, 1999.
O.V. Kaptsov, I.A. Efremov, and A.V. Schmidt, Self-similar solutions of the second-order model of the far turbulent wake, J. Appl. Mech. Tech. Phys., 2008, Vol. 49, No. 2, P. 217–221.
G.G. Chernykh, O.A. Druzhinin, A.V. Fomina, and N.P. Moshkin, On numerical modeling of the dynamics of turbulent wake behind a towed body in linearly stratified medium, J. Engng Thermophysics, 2012, Vol. 21, No. 3, P. 155–166.
J.A. Redford, I.P. Castro, and G.N. Coleman, On the universality of turbulent axisymmetric wakes, J. Fluid Mech., 2012, Vol. 710, P. 419–452.
Yu.M. Lytkin and G.G. Chernykh, Flow similarity in terms of the density Froude number and energy balance at the evolution of the turbulent mixing zone in a stratified medium, in: Mathematical Problems of Continuum Mechanics, Lavrentyev Institute of Hydrodynamics of the USSR Academy of Sciences Siberian Branch, Novosibirsk, 1980, issue 47, P. 70–89.
G.G. Chernykh and A.G. Demenkov, Numerical models of jet flows of a viscous incompressible fluid, Russ. J. Numer. Anal. Math. Modelling, 1997, Vol. 12, No. 2, P. 111–125.
O.A. Druzhinin, Collapse and self-similarity of a turbulent jet in a pycnocline, Izv., Atmos. Ocean. Phys., 2003, Vol. 37, P. 629–641.
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Problem statements and numerical experiments based on DNS have been financially supported by the Russian Foundation for Basic Research (Grant No. 13-01-00246). Numerical modeling based on semi-empirical models has been supported financially by the Russian National Foundation (Grant No. 14-19-01685).
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Demenkov, A.G., Druzhinin, O.A. & Chernykh, G.G. Numerical models of a far turbulent wake of an elongated body of revolution. Thermophys. Aeromech. 23, 929–932 (2016). https://doi.org/10.1134/S0869864316060159
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DOI: https://doi.org/10.1134/S0869864316060159