Accession Number : ADA119248

Title :   Linear Theory of the Rayleigh-Taylor Instability at the Interface between Two Compressible Media.

Descriptive Note : Memorandum rept.,

Corporate Author : NAVAL RESEARCH LAB WASHINGTON DC

Personal Author(s) : Book,D L ; Bernstein,I B

PDF Url : ADA119248

Report Date : 09 Sep 1982

Pagination or Media Count : 20

Abstract : Linear eigenfrequencies are calculated for infinitesimal perturbations of the systems 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 the wavenumber k as k yields 0. The incompressible fluid result is obtained when the adiabatic index (gamma yields infinity (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. (Author)

Descriptors :   *Compressible flow, *Incompressibility, *Linearity, *Perturbations, Interfaces, Fluid flow, Computations, Numerical methods and procedures, Adiabatic conditions

Subject Categories : Fluid Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE