TURBULENT MIXING OP TWO FLOWS OF DIFFERENT DENSITIES AND VELOCITIES MOVING IN GRAVITY FIELD SUBJECT TO MIXING DISSYMMETRY
V. E. Neuvazhaev, T. V. Zabolotnikova
VANT. Ser.: Mat. Mod. Fiz. Proc 2006. Вып.2. С. 3-14.
Two liquids of different densities disposed in gravity field are moving with respect to each other with different velocities. Interface is unstable, it is breaking down and turbulent mixing appears. The work is devoted to theoretical investigation of turbulent mixing arising from joint action of shear and gravitational instabilities. On the basis of κε-model analytical formula for width of turbulent mixing zone depending on initial parameters of the problem is set up: Atwood number  , number  , acceleration g and initial roughness L0, where U1 and U2, ρ1 and ρ2 – velocities and densities of flows, accordingly. Earlier authors derived formula for the width of turbulent mixing zone ignoring mixing dissymmetry though in fact (as experiments show) mixing occurs asymmetrically: intensity of mixing towards light matter is higher than intensity of mixing towards heavy matter. Mixing dissymmetry is incorporated in this work. Comparison of obtained formula ignoring gravitation strength with the known experimental data and computations is also carried out.
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