Distortion of a crossed magnetic field by the flow of an inviscid conducting fluid past a sphere

Technical Report · Mon Mar 01 04:00:00 EST 1976

OSTI ID:6778658

Smith, R

The flow of an inviscid incompressible fluid past a nonconducting sphere was considered for cases in which the ratio of the magnetic to dynamic pressure beta is small, which implies that the velocity field is only slightly distorted from its value when the fluid is nonconducting. The magnetic Reynolds number, Rm, is assumed small in the first part of the analysis; however, a solution for infinite Rm is also given. The method of solution for small Rm, more specifically 0 < or = to ..beta.. < or = to Rm, < or = to 1, is to develop an inner Stokes expansion near the sphere and an outer Oseen expansion valid at great distances.

• Research Organization: Loughborough Univ. of Technology (UK). Dept. of Mathematics
• OSTI ID: 6778658
• Report Number(s): N-77-31457; MATHS-RES-95
• Country of Publication: United States
• Language: English

Related Subjects

640430* -- Fluid Physics-- Magnetohydrodynamics
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
BOUNDARY-VALUE PROBLEMS
CROSSED FIELDS
DISTURBANCES
DRAG
FLUID FLOW
FLUID MECHANICS
HYDRODYNAMICS
IDEAL FLOW
INCOMPRESSIBLE FLOW
MAGNETIC REYNOLDS NUMBER
MAGNETOHYDRODYNAMICS
MECHANICS
REYNOLDS NUMBER
SERIES EXPANSION
SPHERES