STUDYING RAYLEIGH-TAYLORINSTABILITY OF A THIN LIQUID LAYER IN 3D FORMULATION

S. M. Bakhrakh, G. P. Simonov
VANT. Ser.: Mat. Mod. Fiz. Proc. 1995. Вып.3. С. 33-38.

      The solution is obtained for the perturbation evolution of the accelerated thin plane layer in 3D geometry. The solution dependence on dimensionless parameters is studied. The analitical relations are confirmed by numerical results.

      Using the equation for a thin liquid layer in Lagrangian form the analytical solutions were obtained for the Rayleigh-Taylor instability problem. The role is clarified for dimensionless parameters determining the shape of initial perturbation.
      The analytical relations agree both with numerical solutions in the shell approximation and with those of the full system of hydrodynamic equations.