Title

Rayleigh-Taylor instability of superposed barotropic fluids

Authors

Authors

B. K. Shivamoggi

Comments

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Abbreviated Journal Title

Z. Angew. Math. Phys.

Keywords

GENERAL-ANALYSIS; SHEAR-LAYER; COMPRESSIBILITY; STABILITY; Mathematics, Applied

Abstract

Effects of compressibility on Rayleigh-Taylor instability of superposed fluids are considered. The density is allowed to vary with pressure under the barotropy assumption. The small-compressibility limit is considered first in order to facilitate an analytical calculation. For the case with equal speeds of sound in the two superposed fluids, a non-trivial analytical compressibility correction to the Rayleigh-Taylor growth rate becomes feasible if we perturbatively calculate the compressibility correction to O (g (2)/k (2) a (4)). To this order, compressibility effects are found to reduce the growth rate. This trend is validated for arbitrary compressibility cases as well via an exact evaluation of the dispersion relation.

Journal Title

Zeitschrift Fur Angewandte Mathematik Und Physik

Volume

63

Issue/Number

3

Publication Date

1-1-2012

Document Type

Article

DOI Link

http://dx.doi.org/10.1007/s00033-011-0179-3

Language

English

First Page

521

Last Page

527

WOS Identifier

WOS:000304648100008

ISSN

0044-2275

Recommended Citation

"Rayleigh-Taylor instability of superposed barotropic fluids" (2012). Faculty Bibliography 2010s. 3296.
https://stars.library.ucf.edu/facultybib2010/3296