Engineering model of turbulence with the diffusion of pressure fluctuations

Mathematics. Physics. Mechanics


Аuthors

Golovnev I. G.*, Platov S. A.**

State Institute of Aviation Systems, 7, Victorenko str., Moscow, 125319, Russia

*e-mail: golovnev@gosniias.ru
**e-mail: ruszima@mail.ru

Abstract

The popular low Reynolds turbulence model of k-ε Lam-Bramhorst is modified by the inclusion of the model of pressure-velocity diffusion into the equation of turbulence energy transfer; it allowed to forecast the laminar turbulent transfer in the boundary layer with the accuracy sufficient for engineering operations.  The pressure-velocity diffusion model is a non-gradient type looks as dpv/dy=Cpv*d(kU)/dy (dpv/dy integral on the layer cutting is equal to zero, dpv/dy=0 in turbulent homogeneous non-shear flow) with Cpv constant coefficient.

Keywords:

Turbulence model; turbulent energy; pressure-velocity diffusion; laminar-turbulent transition


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