On the theory of stability of a fluid conducting cylinder in a magnetic field

Journal Article · Mon Jan 01 04:00:00 EST 1962 · Journal of Applied Mathematics and Mechanics

DOI:https://doi.org/10.1016/0021-8928(62)90009-6· OSTI ID:4782541

Vandakurov, Iu. V.

A hollow incompressible cylinder model was used in investigating tube- shaped plasma pinch stability. It was assumed that azimuthal and axial magnetic field components are present in conducting layers at equilibrium. The stability is studied by linearized magnetohydrodynamic equations. Cases of infinitely strong or weak conductivity in hollow cylinders were analyzed. In the first instance the dispersion equation is expressed by squares of long-wave perturbations resulting in spiral cylinder bends when the longitudinal magnetic fields are close to homogeneous. In the case of weak conductivity, natural oscillations are absent when there is a continuous distribution of current density. Oscillations are observed only in discontinuous conductivity.

• Research Organization: Originating Research Org. not identified
• Sponsoring Organization: USDOE
• NSA Number: NSA-17-002392
• OSTI ID: 4782541
• Journal Information: Journal of Applied Mathematics and Mechanics, Journal Name: Journal of Applied Mathematics and Mechanics Journal Issue: 5 Vol. 26; ISSN 0021-8928
• Country of Publication: Country unknown/Code not available
• Language: Russian

Related Subjects

75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
ABSORPTION
BETA PARTICLES
COUNTERS
CURRENTS
CYLINDERS
DENSITY
DIFFERENTIAL EQUATIONS
DIFFRACTION
EFFICIENCY
ELECTRIC CONDUCTIVITY
FLUID FLOW
GAMMA RADIATION
HOMOGENEOUS REACTORS
LAYERS
MAGNETIC FIELDS
MAGNETOHYDRODYNAMICS
MEASURED VALUES
OSCILLATIONS
PINCH
PLASMA
QUANTITATIVE ANALYSIS
QUANTITY RATIO
STABILITY
THORIUM
THORIUM ORES
URANIUM
URANIUM ORES
VESSELS