Rayleigh-Taylor Instability for Adiabatically Stratified Fluids



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The Physics of Fluids


A linear analysis of the effects of compressibility on the stability of two superposed isentropic fluids is presented. The results of the analysis, which differ from those available in the literature for other unperturbed stratifications, are illustrated with several numerical examples. It is found that, in the present conditions, compressibility has a stabilizing effect at small wavelengths and a destabilizing effect at long wavelengths. The magnitude of these effects is, however, small in most circumstances. A physical basis for the interpretation of the results is also described in qualitative terms. This discussion sheds some light on the nature of the differences between the present results and those relative to the case of isothermal stratification.



Flow instabilities


Copyright 1989 Physics of Fluids. Recommended citation: Lezzi, Adriano M., and Andrea Prosperetti. "Rayleigh–Taylor instability for adiabatically stratified fluids." Physics of Fluids A: Fluid Dynamics 1, no. 11 (1989): 1784-1795. DOI: 10.1063/1.857505 URL: https://aip.scitation.org/doi/abs/10.1063/1.857505 Reproduced in accordance with the original publisher’s licensing terms and with permission from the author(s).