Effects of viscosity and elasticity on the Richtmyer-Meshkov instability

被引：7
作者：
Sun, Y. B. [1 ]
Tao, J. J. [1 ]
Zeng, R. H. [1 ]
He, X. T. [1 ]
机构：
[1] Peking Univ, Coll Engn, Dept Mech & Engn Sci, CAPT HEDPS,SKLTCS,Collaborat Innovat Ctr IFSA, Beijing 100871, Peoples R China
来源：
PHYSICAL REVIEW E | 2018年 / 98卷 / 03期
基金：
中国国家自然科学基金;
关键词：
TAYLOR INSTABILITY; SURFACE-TENSION; NONLINEARITY; GROWTH; FLUIDS;
D O I：
10.1103/PhysRevE.98.033102
中图分类号：
O35 [流体力学]; O53 [等离子体物理学];
学科分类号：
070204 ; 080103 ; 080704 ;
摘要：
The impulsively accelerated Richtmyer-Meshkov instability (RMI) of a fluid-solid interface is theoretically studied with a decomposition method, and the least stable mode is shown to oscillate but decay due to the combined effects of elasticity and viscosity. The dispersion relation of RMI in viscous fluids is obtained as well, and the predicted interface amplitude agrees with numerical simulations better than the previous linear and weakly nonlinear theories. As time tends to infinity, the asymptotic amplitude of the disturbed interface is found to be inversely proportional to the wave number in viscous fluids but to be independent of the wave number for the interface between elastic solids.
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页数：4
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