Magnetohydrodynamics of laminar flow in slowly varying tubes in an axial magnetic field
Laminar flow of a conducting fluid in round, straight tubes with axially varying radius, with a uniform magnetic field applied parallel to the tube axis, is treated theoretically as a regular perturbation problem at finite hydrodynamic Reynolds number, finite magnetic Reynolds number, and Hartmann numbers as large as O(..cap alpha../sup -1//sup ///sup 2/), where ..cap alpha.. is a small parameter characteristic of the slope of the tube wall. The first-order solution is examined numerically for local tube dilations and for local constrictions. Flow separation along both converging and diverging sections of the tube is discussed. Pressure, current density, and induced magnetic field distributions are also presented.
- Research Organization:
- Fluid Engineering Division, National Bureau of Standards, Washington, DC 20234
- OSTI ID:
- 5511215
- Journal Information:
- Phys. Fluids; (United States), Journal Name: Phys. Fluids; (United States) Vol. 27:1; ISSN PFLDA
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
CURRENT DENSITY
DIMENSIONS
DISTURBANCES
ELECTRIC CONDUCTIVITY
ELECTRICAL PROPERTIES
FLUID FLOW
FLUID MECHANICS
FLUIDS
HARTMANN NUMBER
HYDRODYNAMICS
INCOMPRESSIBLE FLOW
LAMINAR FLOW
MAGNETIC FIELDS
MAGNETOHYDRODYNAMICS
MECHANICS
NUMERICAL SOLUTION
PHYSICAL PROPERTIES
PRESSURE GRADIENTS
REYNOLDS NUMBER
TUBES
VARIATIONS