Laminar duct and channel flow of an electrically conducting fluid in the presence of a magnetic field

S. A. Regirer

Abstract
The theory of laminar magnetohydtodynamic duct flow rests on the well-known equations of magnetohydrodynamics. This system usually includes the continuity, momentum, and energy equations the equation of state, the relations between the transpot coefficients and the thermodynamic parameters of the system, Maxwell's equations, and Ohm's law. It may in some cases be supplemented by equations describing environmental processes. The constraints imposed on these equations usually include the initial condition, the conditions at the interfaces of the media, and the asymptotic conditions. The present review is concerned with the exact and approximate solutions of the equations describing the motion of a viscous and electrically conducting fluid in a duct undo: the action of an applied magnetic field. Special computational methods applicable to electric fields, the one-dimensional approximation, boundary layer theory,. and stability considerations will generally be excluded. Unless otherwise stated, the discussion will be restricted to viscous Newtonian fluids in the conventional magnetohydrodynamics approximation [1]. Refs 167.