HYDROMAGNETIC FLOW DUE TO AN OSCILLATING PLANE

Journal Article · Sat Oct 01 04:00:00 EDT 1960 · Revs. Modern Phys.

DOI:https://doi.org/10.1103/RevModPhys.32.799· OSTI ID:4086187

Hide, R; Roberts, P H

A review is given of Stokes' problem concerning the effect of viscosity in modifying the motion of a fluid in contact with vibrating solids. A suggestion was made as to the possibility of measuring the effect of a magnetic field on the propagation of sound in a tube containing mercury. The obvious extension of Stokes' problem was to the case of a conducting fluid in the presence of an impressed uniform magnetic field of strength B/sub 0/ in the z direction. The hydromagnetic flow set up by the plane is governed by the equations of hydrodynamics and continuity, Maxwell's equations (neglecting displacement currents), and Ohm's law for a moving conductor. The boundary conditions necessary to determine the unique solution of these equations are outlined. A discussion is given of a number of limiting cases to the formal solution to the flow problem. The limitations are for low, moderate, and high conductivity ( beta >> 1. beta = 1, beta << 1); in each case the effects of strong and weak magnetic fields are considered. Considerations are given for the rotating and nonrotating states of flow. (B.O.G.)

• Research Organization: King's College (Univ. of Durham), Eng.
• NSA Number: NSA-15-010257
• OSTI ID: 4086187
• Journal Information: Revs. Modern Phys., Journal Name: Revs. Modern Phys. Vol. Vol: 32
• Country of Publication: Country unknown/Code not available
• Language: English

Related Subjects

BOUNDARY CONDITIONS
CURRENTS
DIFFERENTIAL EQUATIONS
ELECTRIC CONDUCTIVITY
ELECTRICITY
ELECTRODYNAMICS
FLUID FLOW
FLUIDS
MAGNETIC FIELDS
MAGNETOHYDRODYNAMICS
MATHEMATICS
MAXWELL EQUATIONS
MERCURY
MOTION
OHM LAW
OSCILLATIONS
PHYSICS
ROTATION
SOLIDS
SOUND
TUBES
VIBRATIONS
VISCOSITY