Engineering Transactions, 25, 1, pp. 53-62, 1977

Magnetohydrodynamic Flow Past a Sphere

S. Swarup
Department of Mathematics, Indian Institute of Technology, Hauz Khaz, New Delhi

P.C. Sinha
Department of Mathematics, Indian Institute of Technology, Hauz Khaz, New Delhi

This paper deals with the slow steady flow of an incompressible, viscous, electrically-conducting fluid past a sphere in the presence of a uniform magnetic field. The magnetic field is weak and is aligned along the free-stream direction. The solution is sought by the method of matched asymptotic expansions under the assumptions that the magnetic pressure number b = O (1) and Rm<1, R<1.

Full Text: PDF
Copyright © Polish Academy of Sciences & Institute of Fundamental Technological Research (IPPT PAN).


P. A. BOIS, Influence sur quelques types de champs magnétiques de l'écoulement d'un fluide conducteur autour d'une sphère, J. de Mecanique, 9, 35-59, 1970,

I-DEE CHANG, Stokes flow of a conducting fluid past an axially-symmetric body in the presence of a uniform magnetic field, J. Fluid Mech., 9, 473-477, 1970.

W. CHESTER, The effect of a magnetic field on Stokes flow in a conducting fluid, J. Fluid Mech., 3, 304-308, 1957.

W. CHESTER, On Oseen's approximation, J. Fluid Mech., 13, 557-569, 1962. 5. W. CRESTER and D. R. BREACH, On the flow past a sphere at low Reynolds number, J. Fluid Mech., 37, 751-760, 1969.

K. GOTOH, Magnetohydrodynamic flow past a sphere, J. Phys. Soc, Japan, 15, 189-196, 1960.

K. GOTOH, Stokes flow of an electrically-conducting fluid in a uniform magnetic field, J. Phys. Soc. Japan, 15, 696-705, 1960.

H. LAMB, Hydrodynamics, Dover Publications, New York, 594-598, 609-612, 1945. T. LÉVY, Perturbation d'un écoulement de Stokes autor d'une sphere creuse en magnetohydro-dynamique, J. de Mecanique, 9, 189-2111, 1970.

G. S. S. LUDFORD, The effect of an aligned magnetic field on Oseen flow of a conducting fluid, Arch. Rational Mech. Anal., 4, 405-411, 1960.

I. PROUDMAN and J. R. A. PBARSON, Expansion at small Reynolds number for the flow past a sphere and circular cylinder, J. Fluid Mech., 2, 237-262, 1957.

S. I. RUBINOW and J. B. KELLER, The transverse force on a spinning sphere moving in a viscous fluid, J. Fluid Mech., 11, 447-459, 1961.

H. CABANNES, Theoretical magnetofluiddynamics, Academic Press 175, 1970.