Magnetohydrodynamics at Small Magnetic Reynolds Numbers

Journal Article · Mon Jan 01 04:00:00 EST 1962 · Physics of Fluids (New York)

DOI:https://doi.org/10.1063/1.1706632· OSTI ID:4790320

Uberoi, Mahinder S.

Two problems are considered, each of which represents a class of flows. In the first problem the motion is induced by passage of electric current through an incompressible viscous electrically conducting fluid contained in an insulated axisymmetric tube. The solution is obtained in closed form by assuming small Reynolds numbers such that the electromagnetic forces are balanced by viscous forces. In the second problem incompressible inviscid electrically conducting fluid flows through an axisymmetric tube and the flow is modified due to passage of electric current. The complete solution of the resultant rotational flow is obtained in closed form for small changes in tube diameter. At appreciable rates of current flow the fluid in the central part of a contracting tube behaves as if the tube were expanding; the opposite is true for an expanding tube. This is shown to be the case quite generally even when the assumption of small magnetic Reynolds number is dropped. Further, at large rates of current flow there may develop a secondary flow.

• Research Organization: Univ. of Michigan, Ann Arbor
• Sponsoring Organization: USDOE
• NSA Number: NSA-16-016854
• OSTI ID: 4790320
• Journal Information: Physics of Fluids (New York), Journal Name: Physics of Fluids (New York) Journal Issue: 4 Vol. 5; ISSN 0031-9171; ISSN PFLDAS
• Publisher: American Institute of Physics
• Country of Publication: Country unknown/Code not available
• Language: English

Related Subjects

75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
CONFIGURATION
CURRENTS
ELECTRIC CONDUCTIVITY
ELECTROMAGNETIC FIELDS
FLUID FLOW
FLUIDS
MAGNETOHYDRODYNAMICS
MATHEMATICS
MOTION
REYNOLDS NUMBER
THERMODYNAMICS
TUBES
TURBULENCE
VISCOSITY