Finite-thickness effects on the Rayleigh-Taylor instability in accelerated elastic solids

被引：21
|
作者：
Piriz, S. A. [1 ,2 ]
Piriz, A. R. [1 ,2 ]
Tahir, N. A. [3 ]
机构：
[1] Univ Castilla La Mancha, ETSII, Inst Invest Energet, E-13071 Ciudad Real, Spain
[2] Univ Castilla La Mancha, CYTEMA, E-13071 Ciudad Real, Spain
[3] GSI Helmholtzzentrum Schwerionenforsch Darmstadt, Planckstr 1, D-64291 Darmstadt, Germany
来源：
PHYSICAL REVIEW E | 2017年 / 95卷 / 05期
关键词：
HIGH-ENERGY DENSITY; HEAVY-ION BEAMS; GROWTH; COMPRESSION; VISCOSITY; PRESSURE; FACILITY; HEDGEHOB; DRIVEN; FLUIDS;
D O I：
10.1103/PhysRevE.95.053108
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：
A physical model has been developed for the linear Rayleigh-Taylor instability of a finite-thickness elastic slab laying on top of a semi-infinite ideal fluid. The model includes the nonideal effects of elasticity as boundary conditions at the top and bottom interfaces of the slab and also takes into account the finite transit time of the elastic waves across the slab thickness. For Atwood number A(T) = 1, the asymptotic growth rate is found to be in excellent agreement with the exact solution [Plohr and Sharp, Z. Angew. Math. Mech. 49, 786 (1998)], and a physical explanation is given for the reduction of the stabilizing effectiveness of the elasticity for the thinner slabs. The feedthrough factor is also calculated.
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页数：9
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