THE THEORY OF MAGNETOHYDRODYNAMIC FREE SURFACE WAVES

Thesis/Dissertation · Tue Jan 01 04:00:00 EST 1963

OSTI ID:4001750

Cass, V L.A.

The theory of small amplitude, planar traveling waves on a free surface for an inviscid liquid was extended to include an electrically conducting liquid in an applied (uniform) magnetic field. The equation of magnetohydrodynamics are linearized and manipulated to give a differential equation for the current density. Solution of the current equations leads in a systematic way to velocity, magnetic, electric, and pressure fields. The solutions for the free- space region above the free surface and the conducting region below the bottom (horizontal) surface are joined with the solution for the conducting liquid at the common boundaries. Finally, a dispersion relation is derived that has incorporated in it all the pertinent boundary conditions. The dispersion relation is valid for arbitrary conductivity, arbitrary depth, and arbitrary magnetic field configuration. The dispersion relation is, in its general form, extremely complicated. Results were obtained by examining special cases; for all the results that were obtained, the region below the liquid is assumed to be an insulator. (Dissertation abstr., 24: No. 9, March

• Research Organization: Originating Research Org. not identified
• NSA Number: NSA-18-021445
• OSTI ID: 4001750
• Country of Publication: Country unknown/Code not available
• Language: English

Related Subjects

BOUNDARY CONDITIONS
CONFIGURATION
CURRENTS
DENSITY
DIELECTRICS
DIFFERENTIAL EQUATIONS
ELECTRIC CONDUCTIVITY
ELECTRIC FIELDS
LIQUIDS
MAGNETIC FIELDS
MAGNETOHYDRODYNAMICS
MATHEMATICS
OSCILLATIONS
PHYSICS
PLASMA
PRESSURE
SURFACES
VELOCITY
VISCOSITY