With a self-similar parameter b(At) = Hi/ λi, where At is the Atwood number, Hi and λi are the amplitude and wavelength of bubble (i = 1) and spike (i = 2) respectively, we derive analytically the solutions to the buoyancy - drag equation recently proposed for dynamical evolution of Rayleigh - Taylor and Richtmyer - Meshkov mixing zone. Numerical solutions are obtained with a simple form of b(At) = 1/(1 + At) and comparisons with recent LEM (linear electric motor) experiments are made, and an agreement is found with properly chosen initial conditions.
- Buoyancy-Drag equation
- Rayleigh-Taylor mixing
- Richtmyer-Meshkov mixing
ASJC Scopus subject areas
- Physics and Astronomy (miscellaneous)