Flow of a viscous conducting fluid around an infinite cylinder in a longitudinal magnetic field with different permeabilities

V. V. Murzenko

Abstract
The problem of a stationary flow of a conducting liquid around an infinite cylinder in a longitudinal magnetic field at different permeabilities of the cylinder and the liquid has been considered. The solution at Re << l. Rm << I and small Hartmann numbers has been obtained by joining together the asymptotic expansions. The force experienced by the cylinder in the flow has been computed and its dependence on the permeability ratio analysed. It has been shown that when reducing the permeability of the cylinder until zero perfect diamagnetism) the force also decreases. A comparison with the analytical expressions valid for a flow around a sphere in a longitudinal magnetic field has been done. Figs 2, refs 14.