TURBULENT MIXING OF A THIN LAYER USING ke MODEL. A COMPARISON WITH EXPERIMENTS

V.E. Neuvazhayev, A.F. Podkorytova
VANT. Ser.: Mat. Mod. Fiz. Proc 2001. Вып.1. С. 14-19.

Turbulent mixing of a thin layer of a fluid with the density r⁰ and width L₀ placed into the medium with the density r, which occurs under the influence of accelerated motion of a container (s = ттgdt, g is the acceleration, s is the motion) is considered in the papers by S.Z. Belenky and E.S. Fradkin (1965) and in the paper by V.E. Neuvazhayev. In the paper by V.E. Neuvazhaev the formula of the asymptotic stage was obtained, where L is the width of a turbulent mixing zone. In this paper the generalities of mixing process approach to a self-similar mode are investigated using the TURINB program (ke -model). It is stated that the coefficient b, describing the turbulent mixing at the self-similar stage is universal and independent of densities change. In the case of a thin heavy layer however the approach to the self-similar mode takes place later at the meaning of dimensionless parameter , which is to be significantly greater. It is proposed to perform the processing of the experimental results published in 1993 by Yu.A. Kucherenko with co-authors considering stated generalities. Thus, one may damp the variance in the experimental description of the coefficient b. The authors of this paper obtained that b = 0,63 0,13.