Accession Number:

ADA102826

Title:

On the Stability of Vortex Motions in Compressible Stratified Fluids.

Descriptive Note:

Memorandum rept.,

Corporate Author:

NAVAL RESEARCH LAB WASHINGTON DC

Personal Author(s):

Report Date:

1981-08-10

Pagination or Media Count:

26.0

Abstract:

Necessary conditions for stability of a general class of compressible vortex flows are obtained using the method of generalized progressing wave expansion. The vortex motion and its density are assumed to vary in both the radial and axial directions. These conditions, representing a state of statically stable distribution for the steady flow, require that the flow be stable in the centrifugal force field created by the rotation of the fluids, in the gravitational force field arised from the density variation in the vertical direction, and in the pressure field constraining the density stratification in both directions. These results also suggest the likely behavior of the Richardson criterion for stability of the flow yet to be derived. Author

Subject Categories:

  • Theoretical Mathematics
  • Fluid Mechanics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE