STABILITY OF A SLOPING INTERFACE IN A ROTATING TWO-FLUID SYSTEM,

Abstract

When two incompressible homogeneous fluids in relative motion are superimposed in a gravitationally stable configuration and are subjected to rotation about a vertical axis, the interface and the free surface slope away from the horizontal. Such a system possesses rotational modes of oscillation in addition to the external and internal gravitational modes. The dynamic stability of small amplitude motions superimposed on this system studied. For unstable modes, the values for the phase speed and the growth rates are presented as a function of wavelength of the perturbations and shear of the basic flow. In particular, it was shown that the instability occurs in this model as a result of an interaction between an internal gravitational mode and a rotational mode. (Author)

Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1969
Accession Number
AD0700429

Entities

People

  • Desiraju B. Rao
  • T. J. Simons

Organizations

  • Colorado State University

Tags

DTIC Thesaurus Topics

  • Amplitude
  • Instability
  • Mathematics
  • Motion
  • Oscillation
  • Perturbations
  • Relative Motion
  • Rotation

Fields of Study

  • Physics

Readers

  • Acoustical Oceanography.
  • Fluid Dynamics.