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Surface Tension Effect on Harmonics of Rayleigh-Taylor Instability
Wan-hai Liu,Xiang Wang*,Wen-fang Ma
Author NameAffiliationE-mail
Wan-hai Liu Research Center of Computational Physics, Mianyang Normal University, Mianyang 621000, China  
Xiang Wang* School of Bailie Engineering and Technology, Lanzhou City University, Lanzhou 730070, China 113034@mnu.cn 
Wen-fang Ma Research Center of Computational Physics, Mianyang Normal University, Mianyang 621000, China  
Abstract:
Using the method of the parameter expansion up to the third order, explicitly investigates surface tension effect on harmonics at weakly nonlinear stage in Rayleigh-Taylor instability (RTI) for arbitrary Atwood numbers and compares the results with those of classical RTI within the framework of the third-order weakly nonlinear theory. It is found that surface tension strongly reduces the linear growth rate of time, resulting in mild growth of the amplitude of the fundamental mode, and changes amplitudes of the second and third harmonics, as is expressed as a tension factor coupling in amplitudes of the harmonics. On the one hand, surface tension can either decrease or increase the space amplitude; on the other hand, surface tension can also change their phases for some conditions which are explicitly determined.
Key words:  Rayleigh-Taylor instability  Surface tension  Harmonics  Weakly nonlinearity
FundProject:
表面张力对Rayleigh-Taylor不稳定性谐波的影响
刘万海,王翔*,马文芳
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DOI:10.1063/1674-0068/31/cjcp1703056
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