Open AccessThe bubble velocity research of Rayleigh-Taylor and Richtmyer-Meshkov instabilities at arbitrary Atwood numbers
Author(s) -
Tao Ye-Sheng,
Lifeng Wang,
Wenhua Ye,
Guangcai Zhang,
Jiancheng Zhang,
Yingjun Li
Publication year - 2012
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.61.075207
Subject(s) - bubble , richtmyer–meshkov instability , physics , rayleigh–taylor instability , rayleigh scattering , nonlinear system , exponential function , mechanics , statistical physics , instability , mathematical analysis , mathematics , optics , quantum mechanics
We generalize the Layzer's bubble model to the cases of two-dimensional and three-dimensional analytical models of an arbitrary interface Atwood number and obtain self-consistent equations. The generalized model provides a continuous bubble evolution from the earlier exponential growth to the nonlinear regime. The asymptotic bubble velocities are obtained for the Rayleigh-Taylor(RT) and Richtmyer-Meshkov(RM) instabilities. We also report on the two-dimensional and the three-dimensional analytical expressions for the evolution of the RT bubble velocity.