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ON THE FLOW OF A CONDUCTING FLUID PAST A MAGNETIZED SPHERE

Journal Article · · Journal of Fluid Mechanics (England)
In the steady flow of an incompressible, nonviscous, conducting fluid past a magnetized sphere, the first-order effects of the magnetic field and the conductivity are studied. Paraboloidal wakes of vorticity and magnetic intensity are formed, the former being half the size of the latter. The vorticity, generated by the non-conservative electronmagnetic force, is logarithmically infinite on the sphere. For the case of a dipole of moment M at the center of a sphere of radius a, the drag coefficient is C/sub D/ = STA144 mu /sup '2/5(2 mu + mu ')/sup 2/ beta R/sup M/, where mu and mu ' a re the permeabilities of the fluid and sphere respectively, beta is the ratio of the representative magnetic pressure mu M/sup 2/2a/sup 6/ to the free-stream dynamic pressure, and R/sub M/ is the magnetic Reynolds number. (auth)
Research Organization:
Univ. of Maryland, College Park; Harvard Univ., Cambridge, Mass.
Sponsoring Organization:
USDOE
NSA Number:
NSA-14-013400
OSTI ID:
4191958
Journal Information:
Journal of Fluid Mechanics (England), Journal Name: Journal of Fluid Mechanics (England) Vol. Vol: 7; ISSN JFLSA
Country of Publication:
Country unknown/Code not available
Language:
English