End effects in inviscid flow in a magnetohydrodynamic channel

Journal Article · Tue Aug 01 04:00:00 EDT 1961 · Journal of Fluid Mechanics

DOI:https://doi.org/10.1017/S0022112061000895· OSTI ID:4841522

Sutton, G. W.; Carlson, A. W.

S>The flow of an inviscid, incompressible electrical conducting fluid in a channel of constant rectangular crosssection is considered, when the flow enters a region which contains a magnetic field transverse to the flow and electrodes on opposite sides of the channel. This geometry is typical of a d-c induction pump or magnetohydrodynamic generator. The conducting fluid external to the magnetic field acts as a shunt and produces a nonuniform electric potential field and hence a non-uniform Lorenz force on the fluid, and causes the fluid velocity profile to be distorted. These effects are calculated theoretically for small magnetic Reynolds number and small magnetic interaction parameter. It is found that the velocity at the center-line of the channel is retarded and at the walls the velocity is accelerated. The fractional change of velocity at the wall is equal to approximately 0.44 times a modified magnetic interaction parameter. (auth)

• Research Organization: General Electric Co., Philadelphia
• Sponsoring Organization: USDOE
• NSA Number: NSA-15-030131
• OSTI ID: 4841522
• Journal Information: Journal of Fluid Mechanics, Journal Name: Journal of Fluid Mechanics Journal Issue: 01 Vol. 11; ISSN applab; ISSN 0022-1120
• Publisher: Cambridge University Press
• Country of Publication: Country unknown/Code not available
• Language: English

Related Subjects

ELECTRIC FIELDS
ELECTRODES
FLUID FLOW
GENERATORS
INTERACTIONS
LORENTZ FIELD
LORENTZ FORCE
MAGNETIC FIELDS
MAGNETOHYDRODYNAMICS
MOLECULES
PHYSICS
POLARIZATION
TUBES
VELOCITY