SMALL HYDROMAGNETIC OSCILLATIONS OF A TWO-DIMENSIONAL CAVITY,

Abstract

Two models are formulated. In the first, the cavity surrounds a finite number of line currents immersed in a fluid of infinite electrical conductivity. The fluid is free of magnetic field, and is at uniform pressure. The cavity in the second model is due to a finite number of line currents inside the cavity, and a uniform magnetic field outside. Material of infinite conductivity is trapped between the internal and external magnetic fields. Integral expressions for the magnetic potential energy are found when the system is subjected to a small general displacement. For the physical models formulated, the kinetic energy may be found, and Lagrange's equations can then be used to find the normal modes of oscillation. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1967
Accession Number
AD0650618

Entities

People

  • David N. Burghes

Organizations

  • University of Sheffield

Tags

DTIC Thesaurus Topics

  • Conductivity
  • Cooperation
  • Displacement
  • Electrical Conductivity
  • Energy
  • Equations
  • Integrals
  • Kinetic Energy
  • Magnetic Fields
  • Materials
  • Mathematics
  • Oscillation
  • Potential Energy
  • Two Dimensional

Fields of Study

  • Physics

Readers

  • Calculus or Mathematical Analysis
  • Plasma Physics / Magnetohydrodynamics