On the Stability of Vortex Motions in Compressible Stratified Fluids.

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)

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Document Details

Document Type
Technical Report
Publication Date
Aug 10, 1981
Accession Number
ADA102826

Entities

People

  • Y. T. Fung

Organizations

  • United States Naval Research Laboratory

Tags

Communities of Interest

  • Autonomy
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Boltzmann Equation
  • Centrifugal Force
  • Computational Fluid Dynamics
  • Computational Science
  • Differential Equations
  • Eigenvalues
  • Equations
  • Fluid Dynamics
  • Fluid Mechanics
  • Froude Number
  • Partial Differential Equations
  • Richardson Number
  • Steady Flow
  • Steady State
  • Stratified Fluids
  • Three Dimensional
  • Two Dimensional

Readers

  • Control Systems Engineering.
  • Fluid Dynamics.