Accession Number : AD0613123

Title :   NOTE ON A HETEROGENEOUS SHEAR FLOW,

Corporate Author : AUSTRALIAN NATIONAL UNIV CANBERRA

Personal Author(s) : Miles,John W.

Report Date : 26 MAR 1964

Pagination or Media Count : 6

Abstract : Goldstein has considered the stability of a shear layer within which the velocity and the density vary linearly and outside which they are constant. Rayleigh had found that the corresponding, homogeneous shear flow is unstable in and only in a finite band of wave-numbers. Goldstein concluded that a small density gradient renders the flow unstable for all wave-numbers. This conclusion appears to depend on the acceptance of all possible branches of a multi-valued eigenvalue equation, and it is shown that the principal branch of this eigenvalue equation yields one and only one unstable mode if and only if the wavenumber lies in a band that decreases from Rayleigh's band to zero as the Richardson number increases from 0 to 1/4. (Author)

Descriptors :   (*FLUID MECHANICS, TWO DIMENSIONAL FLOW), (*TWO DIMENSIONAL FLOW, FLUID MECHANICS), STABILITY, DIFFERENTIAL EQUATIONS

Distribution Statement : APPROVED FOR PUBLIC RELEASE