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Updated: Feb 28, 2026

Magnetically Induced Rotating Rayleigh-Taylor Instability
Published on: March 3, 2017
Finite-thickness effects on the Rayleigh-Taylor instability in accelerated elastic solids
S A Piriz1, A R Piriz1, N A Tahir2
1Instituto de Investigaciones Energéticas, ETSII, and CYTEMA, Universidad de Castilla-La Mancha, 13071 Ciudad Real, Spain.
Abstract:
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)10.1007/s000330050121], 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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