Hydrodynamic Stability of a Rotating Liner.

Abstract

The Rayleigh-Taylor instability is investigated for a nonsteady basic state. A model of a magnetically imploded cylindrical metallic liner compressing an axial magnetic field is constructed and used as the basis of a linear stability analysis. The liner, idealized to be without energy loss mechanisms, can be given an initial rotation about its axis. Analytic and numerical techniques are used to study the stability of flute-like irrotational perturbations about this state. Stability is quantified in terms of the tendency of the liner to disrupt or to encroach toward the axis, and is determined as a function of mode number m, the form of initial disturbance, liner thickness and the amount of rotation. It is shown that thickening the liner tends to stabilize against both encroachment and disruption, while increasing rotational velocity tends to stabilize against encroachment. (Modified author abstract)

Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1974
Accession Number
AD0778666

Entities

People

  • A. Barcilon
  • A. L. Cooper
  • D. L. Book

Organizations

  • United States Naval Research Laboratory

Tags

DTIC Thesaurus Topics

  • Abstracts
  • Instability
  • Magnetic Fields
  • Mathematics
  • Motion
  • Perturbations
  • Physical Properties
  • Rayleigh Taylor Instability
  • Rotation
  • Thickness

Fields of Study

  • Physics

Readers

  • Fluid Dynamics.
  • Military Engineering.
  • Pulsed Power and Plasma Physics.