THE BOUNDARY LAYER OF A CONDUCTING VORTEX FLOW OVER A DISK WITH AN AXIAL MAGNETIC FIELD

Technical Report · Sat Dec 01 04:00:00 EST 1962

OSTI ID:4732167

Lewellen, W S; King, W S

The interaction of the boundary layer, produced by the vortical flow of a viscous, incompressible, electrically conducting fluid over a stationary disk, with a magnetic field that is aligned with the vortex axis, is considered. The relation of this problem to both the magnetohydrodynamic vortex power generator and the hydromagnetic capacitor is discussed. The boundary layer equations are solved by two approaches. First, a momentum integral technique is used to gain estimates of the flow behavior over a finite disk. Second, conditions necessary for similarity over an infinite disk are investigated and the equations appropriate to this case are derived. The similarity equations are solved analytically for cases of strong magnetic interaction. The proftles obtained from the similarity solution are used for a discussion of the appropriateness of the approximate proftles assumed in the foregoing momentum integral method. The flow outside of the boundary layer is assumed to be that of a strong vortex in which the streamlines are nearly circular. In such flows, it is shown that the boundary-layer development will in many cases be purely hydrodynamical even when the flow outside the boundary layer is governed by magnetohydrodynamic effects. (auth)

• Research Organization: Aerospace Corp., El Segundo, Calif.
• NSA Number: NSA-17-009679
• OSTI ID: 4732167
• Report Number(s): NP-12372
• Country of Publication: Country unknown/Code not available
• Language: English

Related Subjects

CAPACITORS
CONFIGURATION
DIFFERENTIAL EQUATIONS
ELECTRIC CONDUCTIVITY
FLUID FLOW
GENERATORS
INTERACTIONS
LAYERS
MAGNETIC FIELDS
MAGNETISM
MAGNETOHYDRODYNAMICS
MOMENTUM
PHYSICS
PLATES
POWER PLANTS
SURFACES
THERMODYNAMICS
TURBULENCE
VISCOSITY