# Accession Number:

## AD0650618

# Title:

## SMALL HYDROMAGNETIC OSCILLATIONS OF A TWO-DIMENSIONAL CAVITY,

# Descriptive Note:

# Corporate Author:

## SHEFFIELD UNIV (ENGLAND) DEPT OF APPLIED MATHEMATICS AND COMPUTING SCIENCE

# Personal Author(s):

# Report Date:

## 1967-01-01

# Pagination or Media Count:

## 32.0

# 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 Lagranges equations can then be used to find the normal modes of oscillation. Author

# Descriptors:

# Subject Categories:

- Astrophysics
- Plasma Physics and Magnetohydrodynamics