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Nonlinear Processes in Geophysics An interactive open-access journal of the European Geosciences Union
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Volume 13, issue 3
Nonlin. Processes Geophys., 13, 247–253, 2006
https://doi.org/10.5194/npg-13-247-2006
© Author(s) 2006. This work is licensed under
the Creative Commons Attribution-NonCommercial-ShareAlike 2.5 License.

Special issue: Turbulent transport in geosciences

Nonlin. Processes Geophys., 13, 247–253, 2006
https://doi.org/10.5194/npg-13-247-2006
© Author(s) 2006. This work is licensed under
the Creative Commons Attribution-NonCommercial-ShareAlike 2.5 License.

  30 Jun 2006

30 Jun 2006

A theoretical model of a wake of a body towed in a stratified fluid at large Reynolds and Froude numbers

Y. I. Troitskaya, O. A. Druzhinin, D. A. Sergeev, V. V. Papko, and G. N. Balandina Y. I. Troitskaya et al.
  • Institute of Applied Physics, Nizhny Novgorod, Russian Federation, Russia

Abstract. The objective of the present paper is to develop a theoretical model describing the evolution of a turbulent wake behind a towed sphere in a stably stratified fluid at large Froude and Reynolds numbers. The wake flow is considered as a quasi two-dimensional (2-D) turbulent jet flow whose dynamics is governed by the momentum transfer from the mean flow to a quasi-2-D sinuous mode growing due to hydrodynamic instability. The model employs a quasi-linear approximation to describe this momentum transfer. The model scaling coefficients are defined with the use of available experimental data, and the performance of the model is verified by comparison with the results of a direct numerical simulation of a 2-D turbulent jet flow. The model prediction for the temporal development of the wake axis mean velocity is found to be in good agreement with the experimental data obtained by Spedding (1997).

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