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Surface tension effect on harmonics of Rayleigh-Taylor instability
liuwanhai
Author NameAffiliationE-mail
liuwanhai Research Center of Computational Physics, Mianyang Normal University, Mianyang, 621000, China lwanh2006@126.com 
Abstract:
Using the method of the parameter expansion up to the third order, this paper 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 in this paper.
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FundProject:
Surface tension effect on harmonics of Rayleigh-Taylor instability
刘万海
摘要:
Using the method of the parameter expansion up to the third order, this paper 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 in this paper.
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