Accession Number : AD0647403

Title :   GRAVITATIONAL INSTABILITIES OF A DISSIPATIVE FLUID WITH A HORIZONTAL BOUNDARY IN THE PRESENCE OF A MAGNETIC FIELD, VOLUME I.

Descriptive Note : Final rept.,

Corporate Author : FAIRCHILD HILLER CORP FARMINGDALE N Y REPUBLIC AVIATION DIV

Personal Author(s) : Zadoff,Leon N. ; Begun,Martin

Report Date : 11 NOV 1966

Pagination or Media Count : 43

Abstract : The linearized equations describing two fluids, acted on by gravity, with a horizontal boundary between them, are derived. The description includes finite viscosity, electrical resistivity, and the presence of a magnetic field. The dispersion relation, which yields the growth rate of small boundary disturbance versus wavelength, is then obtained. In the limit of zero viscosity and zero conductivity this reduces to the Rayleigh-Taylor instability. Next the density conductivity, and viscosity of the lower fluid are permitted to vanish in the limit, under specified conditions. The result is a dispersion relation involving only the upper fluid parameters. It is found that for specified limiting values of these parameters, familiar, previously obtained forms result. The general dispersion relation permits examination of the effects of viscosity and electrical resistivity by the procedure of finding the roots of an explicit algebraic equation. With this technique, the effect of resistivity on the Rayleigh-Taylor modes and the effect of viscosity on the resistive modes are found. (Author)

Descriptors :   (*MAGNETOHYDRODYNAMICS, STABILITY), MAGNETIC FIELDS, FLUID FLOW, VISCOSITY, ELECTRICAL RESISTANCE, DISPERSION RELATIONS, GRAVITY, BOUNDARY LAYER

Subject Categories : Fluid Mechanics
      Plasma Physics and Magnetohydrodynamics

Distribution Statement : APPROVED FOR PUBLIC RELEASE