Author(s) |
Roy, S.; Gupta, M. R.; Khan, M.; Pant, H. C.; Srivastava, M. K. |
The effect of surface tension on the Rayleigh-Taylor (RT) instability and Richtmyer - Meshkov
(RM) instability induced development of nonlinear structures like spike and bubble at two fluid interface have been
investigated. In case of RT instability, the surface tension reduces the velocity of the tip of both the bubble
and the spike by the factor (1-k2/3 kc2) where,
k2c=(rh-
rl)g/T. For
k2 > 3 kc2, RT instability is stabilized. Any perturbation, whatever be its
magnitude, results in stable large amplitude nonlinear oscillations. The RM instability is always stabilized by
surface tension leading to nonlinear oscillation. Both the amplitude and the period of oscillation decreases
monotonically as S = 12k/sup 2/T / (rh+rl) increases where k is the wave number. The maximum
height attained by the peak of the nonlinear interfacial structures (spike or bubble) increases approximately
logarithmically with the initial interface velocity resulting from the shock. |