Rayleigh-Taylor instability of superposed barotropic fluids
Abbreviated Journal Title
Z. Angew. Math. Phys.
GENERAL-ANALYSIS; SHEAR-LAYER; COMPRESSIBILITY; STABILITY; Mathematics, Applied
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.
Zeitschrift Fur Angewandte Mathematik Und Physik
"Rayleigh-Taylor instability of superposed barotropic fluids" (2012). Faculty Bibliography 2010s. 3296.