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Thermophysics and Aeromechanics

2018 year, number 4

Equations for describing a family of self-similar solutions of the far field of a round submerged jet

R.I. Mullyadzhanov


Kutateladze Institute of Thermophysics SB RAS, Novosibirsk, Russia

Novosibirsk State University, Novosibirsk, Russia

E-mail: rustammul@gmail.com


Keywords: turbulence, self-similarity, submerged jet, far field
Pages: 635–838

Abstract

The flow of a turbulent round submerged jet in far field has been considered. The modified Navier-Stokes equations have been derived with the aid of known self-similar properties of the time-mean flow as well as the spatial and temporal characteristics of the entire spectrum of the scales of turbulent fluctuations. A technique has been proposed for the numerical computation of these equations to describe a family of self-similar solutions in a cylindrical region with periodic boundary conditions in the longitudinal direction, and the velocity of the jet expansion enters the obtained equations explicitly as a parameter.