Rayleigh-Taylor instability of superposed barotropic fluids

    Authors

    B. K. Shivamoggi

    Comments

    Authors: contact us about adding a copy of your work at [email protected]

    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

    Language

    English

    First Page

    521

    Last Page

    527

    WOS Identifier

    WOS:000304648100008

    ISSN

    0044-2275

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