Stability of Self-Similar Flow. 6. Uniform Implosion of an Ablatively Driven Shell.

Abstract

The linear stability of a uniformly imploding shell, modeled as an ideal polytropic fluid, is investigated. Two types of unstable modes are found: incompressible irrotational perturbations localized at the outer surface, ascribable to Rayleigh-Taylor instability, and compressible modes, associated with convective instability. KIDDER'S (1976) result for the Rayleigh-Taylor modes is shown to hold independently of the form of the shell density profile. By means of a variational principle it is shown that the criterion for convective instability is the existence of a region within which the differential of p times rho to the negative gamma power in respect to r>0. Analytic solutions for both spatial and temporal dependence of the perturbations are presented, and the results applied to pellets imploded by the action of a laser or charged-particle beam. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Dec 17, 1979
Accession Number
ADA079890

Entities

People

  • David L. Book
  • Ira B. Bernstein

Organizations

  • United States Naval Research Laboratory

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Amplitude
  • Aspect Ratio
  • Boundaries
  • Cartesian Coordinates
  • Compression
  • Differential Equations
  • Eigenvalues
  • Engineering
  • Equations
  • Equations Of Motion
  • Implosions
  • Instability
  • Military Research
  • Perturbations
  • Radial Velocity
  • Rayleigh Taylor Instability
  • Variational Principles

Fields of Study

  • Physics

Readers

  • Atmospheric Science / Meteorology, specifically Wind Wave Turbulence.
  • Fluid Dynamics.
  • Pulsed Power and Plasma Physics.

Technology Areas

  • Directed Energy