
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 wavenumbers. Goldstein concluded that a small density gradient renders the flow unstable for all wavenumbers. This conclusion appears to depend on the acceptance of all possible branches of a multivalued 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