Film flow of magnetic liquid in the laminar regime

The hydrodynamics of the film flow of a magnetic liquid over reflux surfaces in static magnetic fields is studied.Notation g gravitational field - density of liquid - dynamic viscosity - M magnetization of liquid - B magnetic induction - magnetic permeability of liquid - ₀ permeability of free space - a constant film thickness - r radial coordinate of the cylindrical coordinate system - steady-state variable thickness of film - h unsteady variable thickness of film - Q volume flow rate of liquid (per unit time) - I current - b constant gradient of magnetic field in quadrupole lens Translated from Inzhenerno-Fizieheskii Zhurnal, Vol. 31, No. 5, pp. 847–849, November, 1976.