Weakly Nonlinear Rayleigh–Taylor Instability in Incompressible Fluids with Surface Tension
Hong-Yu Guo1,2 , Li-Feng Wang2,3 , Wen-Hua Ye2,3** , Jun-Feng Wu2 , Wei-Yan Zhang2
1 Graduate School, China Academy of Engineering Physics, Beijing 1000882 Institute of Applied Physics and Computational Mathematics, Beijing 1000943 HEDPS, Center for Applied Physics and Technology, Peking University, Beijing 100871
Abstract ：A weakly nonlinear model is established for incompressible Rayleigh–Taylor instability with surface tension. The temporal evolution of a perturbed interface is explored analytically via the third-order solution. The dependence of the first three harmonics on the surface tension is discussed. The amplitudes of bubble and spike are greatly affected by surface tension. The saturation amplitude of the fundamental mode versus the Atwood number $A$ is investigated with surface tension into consideration. The saturation amplitude decreases with increasing $A$. Surface tension exhibits a stabilizing phenomenon. It is shown that the asymmetrical development of the perturbed interface occurs much later for large surface tension effect.
收稿日期: 2016-11-12
出版日期: 2017-03-21
:
52.57.Fg
(Implosion symmetry and hydrodynamic instability (Rayleigh-Taylor, Richtmyer-Meshkov, imprint, etc.))
47.20.Ma
(Interfacial instabilities (e.g., Rayleigh-Taylor))
52.35.Py
(Macroinstabilities (hydromagnetic, e.g., kink, fire-hose, mirror, ballooning, tearing, trapped-particle, flute, Rayleigh-Taylor, etc.))
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YE Wen-Hua;**;WANG Li-Feng;;HE Xian-Tu;
. Jet-Like Long Spike in Nonlinear Evolution of Ablative Rayleigh–Taylor Instability
[12]
WANG Li-Feng;YE Wen-Hua;;LI Ying-Jun. Two-Dimensional Rayleigh-Taylor Instability in Incompressible Fluids at Arbitrary Atwood Numbers
[13]
WANG Li-Feng;YE Wen-Hua;;LI Ying-Jun. Numerical Simulation of Anisotropic Preheating Ablative Rayleigh-Taylor Instability
[14]
WANG Li-Feng;YE Wen-Hua;;FAN Zheng-Feng;XUE Chuang;LI Ying-Jun. A Weakly Nonlinear Model for Kelvin-Helmholtz Instability in Incompressible Fluids
2017, Vol. 34 
