Effect of compressibility on the Rayleigh–Taylor instability
- 1 February 1983
- journal article
- conference paper
- Published by AIP Publishing in Physics of Fluids
- Vol. 26 (2) , 453-458
- https://doi.org/10.1063/1.864158
Abstract
Eigenfrequencies are calculated for infinitesimal perturbations of the system consisting of two semi‐infinite regions, each filled with a constant‐temperature ideal polytrope stratified exponentially against gravity. The linear growth rate for the Rayleigh–Taylor instability which occurs when the density above the interface exceeds that below it is shown in the model to vary linearly with wavenumber k as k→0. The incompressible fluid result is obtained when the adiabatic index γ approaches ∞. For finite γ (i.e., compressible fluids), the growth rates are in general larger than in the incompressible case. Numerical results and limiting cases are described which illustrate this conclusion.Keywords
This publication has 6 references indexed in Scilit:
- Effects of Thermal Conduction and Compressibility on Rayleigh-Taylor InstabilityJournal of the Physics Society Japan, 1980
- Soluble model for the analysis of stability in an imploding compressible linerPhysics of Fluids, 1979
- Rayleigh-Taylor instability of a self-similar spherical expansionThe Astrophysical Journal, 1978
- Fluid Dynamic Stability of Double Radio SourcesMonthly Notices of the Royal Astronomical Society, 1972
- An energy principle for hydromagnetic stability problemsProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1958
- The instability of liquid surfaces when accelerated in a direction perpendicular to their planes. IProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1950