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arXiv · 2403.12271

Rayleigh Taylor Instability in Multiple Finite-Thickness Fluid Layers

Prashant Sharma
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Abstract

We develop a general transfer-matrix formalism for determining the growth rate of the Rayleigh-Taylor instability in a fluid system with spatially varying density and viscosity. We use this formalism to analytically and numerically treat the case of a stratified heterogeneous fluid. We introduce the inviscid-flow approximation in our transfer-matrix formalism to find analytic solutions in the limit of uniform kinematic viscosity for a stratified heterogeneous fluid. We discuss the applicability of these results and the no-acceleration approximation that also yields analytical solutions in the large viscosity limit.

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Prashant Sharma. 2024-03-18. Rayleigh Taylor Instability in Multiple Finite-Thickness Fluid Layers. https://doi.org/10.1103/physreve.110.l063101

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