Abstract
This paper considers the slow flow of a viscous, conducting fluid past a non-conducting sphere at whose centre is a magnetic pole. The magnetic Reynolds number is assumed to be small, and the modifications to the classical Stokes flow and the free magnetic pole field are obtained for an arbitrary Hartmann number. The total drag
D
on the sphere has been calculated, and the ratio
D
/
D
s
determined as a function of the Hartmann number
M
, where
D
s
is the Stokes drag. In particular (
D
—
D
s
)/
D
s
= 37/210
M
2
+
O
(
M
4
) for small
M
and (
D
—
D
s
)/
Ds
~ 0·7205
M
- 1 as
M
→ ∞.
Reference6 articles.
1. B arth el J . R . & L ykoudis P . S. i960 J . F Iuid Mech. 8 307.
2. J;F Iuid Mech.,1957
3. Cowling T. G. 1957 Magnetohydrodynamics. N ew Y o rk : In terscien ce.
4. L am b H . 1932 Hydrodynamics 6th ed. C am bridge U n IV ersity Press.
5. L udford G. S. S. & M urray J . D. i960 J . F Iuid Mech. 7 516.
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