Stability of revolving fluid with variale density in the presence of a circular magnetic field

Journal Article · Tue May 01 04:00:00 EDT 1962 · Physics of Fluids (U.S.)

DOI:https://doi.org/10.1063/1.1706657· OSTI ID:4819991

Lai, W

The stability of an electrically conductive and incompressible fiuid between coaxial rotating cylinders in the presence of a radial density gradient, as well as a circular magnetic field, is studied. The efiects of gravity and of the heat generated through viscous and magnetic dissipation is neglected. An eigenvalue problem is formulated for rotalionally symmetrical disturbances. Detailed calculations are made for the case of small spacing between the two cylinders. Three dimensionless parameters, each containing momentum, thermal, or magnetic diffusivities, are defined. Parametric equations for surfaces of marginal sta bility are given, and planes cutting such surfaces are drawn for the discussions of the roles played by the diffusivities. Both the momentum diffusivity and the magnetic diffusivity are capable of simultaneous stabilization and destabilization.

• Research Organization: Rensselaer Polytechnic Inst., Troy, N.Y.
• NSA Number: NSA-16-018235
• OSTI ID: 4819991
• Journal Information: Physics of Fluids (U.S.), Journal Name: Physics of Fluids (U.S.) Vol. Vol: 5; ISSN PFLDA
• Country of Publication: Country unknown/Code not available
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
CONFIGURATION
CYLINDERS
DENSITY
DIFFUSION
DISTURBANCES
EIGENVALUES
ELECTRIC CONDUCTIVITY
FLUID FLOW
FLUIDS
GRAVITATION
HEATING
MAGNETIC FIELDS
MATHEMATICS
MOMENTUM
NUMERICALS
PRESSURE
ROTATION
STABILITY
SURFACES
SYMMETRY
TURBULENCE
VISCOSITY