TURBULENT MIXING OF TWO FLUIDS OF DIFFERENT DENSITY AND SPEED MOVING IN A GRAVITATIONAL FIELD
T. V. Zabolotnikova, V. E. Neuvazhaev
VANT. Ser.: Mat. Mod. Fiz. Proc 2005. Вып.3. С. 3-13.
Two fluids of different density located in a gravitational field move with different speed relatively to one another. A case is studied when Reynolds number is large enough, therefore the interface is unstable to small perturbations, it collapses and turbulent mixing takes place. Turbulent mixing appearing as a result of joint action of shear and gravitational instability is theoretically studied. Based on fce-model an analytical formula for the width of a turbulent mixing zone was derived depending on the initial parameters of the problem: Atwood number  , number  , acceleration g and initial roughness L0 where U1 and U2, ρ1 and ρ2 are speeds and densities of fluids, respectively (a similar formula was derived for lv-model earlier).
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