Viscous Effects on the Rayleigh-Taylor Instability.

Abstract

The gravitational instabilities of a system consisting of two homogeneous fluids in a concentric cylindrical configuration (theta-pinch), in the presence of a uniform axial magnetic field, are investigated. The fluids are assumed to be incompressible, and viscous, with infinite conductivity. The dispersion relation is developed by two methods. In the first, an exact determination is made based upon the time development of an infinitesimal disturbance of the equilibrium conditions. In the second, it is shown that it is possible to use a variational calculation regardless of whether the system is self-adjoint. (Author)

Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1971
Accession Number
AD0720995

Entities

People

  • Leonard M. Compton

Organizations

  • United States Army Communications-Electronics Command

Tags

DTIC Thesaurus Topics

  • Conductivity
  • Dispersion Relations
  • Dispersions
  • Instability
  • Magnetic Fields
  • Rayleigh Taylor Instability

Fields of Study

  • Physics

Readers

  • Fluid Dynamics.