Fully developed magnetohydrodynamic flow in a curved rectangular channel
Steady, fully developed, incompressible, laminar flow of an electrically conducting fluid in a slightly curved rectangular channel in the presence of a uniform transverse magnetic field is considered. The Navier-Stokes equations and the magnetic induction equations are solved numerically by an upwind finite difference method. Solutions are obtained for channels with aspect ratio of 0.5, 1 and 2 with Dean number ranging fro 0 to 1000 and Hartmann number from 0 to 20. It is found that the magnetic field suppresses both the primary and secondary flows. At a Dean number of 1000, the secondary flow may be completely suppressed when the Hartmann number exceeds 20. In this case, the friction factor follows the result of a straight channel.
- Research Organization:
- Xerox Corporation, Rochester, NY
- OSTI ID:
- 5343233
- Report Number(s):
- CONF-821101-
- Journal Information:
- Am. Soc. Mech. Eng., (Pap.); (United States), Journal Name: Am. Soc. Mech. Eng., (Pap.); (United States) Vol. 82-WA/FE-2; ISSN ASMSA
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
CONFIGURATION
DIFFERENTIAL EQUATIONS
ELECTRIC CONDUCTIVITY
ELECTRICAL PROPERTIES
EQUATIONS
FINITE DIFFERENCE METHOD
FLUID FLOW
FLUID MECHANICS
FRICTION FACTOR
HARTMANN NUMBER
HYDRODYNAMICS
INCOMPRESSIBLE FLOW
INDUCTION
ITERATIVE METHODS
LAMINAR FLOW
MAGNETIC FIELDS
MAGNETOHYDRODYNAMICS
MECHANICS
NAVIER-STOKES EQUATIONS
NUMERICAL SOLUTION
PARTIAL DIFFERENTIAL EQUATIONS
PHYSICAL PROPERTIES
RECTANGULAR CONFIGURATION
STEADY FLOW