MHD flow in curved pipes
Fully developed, laminar magnetohydrodynamic (MHD) flows in curved channels have been studied for the following cases: First, the peroblem of a parallel-plate curved channel flow in the presence of a radial magnetic field is investigated analytically. The geometry of this problem does not induce a secondary flow, but the results obtained for different curvatue parameters provided some physical insights for the flow in channels with finite cross-section. Second, the effect of a transverse applied field on the flow in a curved pipe of circular cross-section is analyzed. When the Dean number is small and the Hartmann number is large, a perturbation solution for the secondary flow is obtained. For those cases when the Dean number is in the range 0 less than or equal to D less than or equal to 5000 and the Hartmann number is in the range 0 less than or equal to M less than or equal to 30, the full equations are solved using an up-wind finite difference method. Third, the flow in channel with rectangular cross-section are studied. The numerical procedure applied to the circular cross-section is performed in the rectangular coordinate system. The effect of the aspect ratio of the channel on the flow is also studied.
- Research Organization:
- State Univ. of New York, Buffalo (USA)
- OSTI ID:
- 6336594
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
ANALYTICAL SOLUTION
CIRCULAR CONFIGURATION
CONFIGURATION
FLUID FLOW
FLUID MECHANICS
HARTMANN NUMBER
HYDRODYNAMICS
LAMINAR FLOW
MAGNETIC FIELDS
MAGNETOHYDRODYNAMICS
MECHANICS
NUMERICAL SOLUTION
PIPES
RECTANGULAR CONFIGURATION