Finite Magnetic Reynolds Numbers Research Articles

On the Kutta-Joukowski Condition in Magnetohydrodynamics

The flow of an incompressible viscous fluid with electric conductivity past an insulated flat plate at a small incidence, in the presence of an aligned magnetic field, is studied. The solution for finite hydrodynamic and magnetic Reynolds numbers R , R m is uniquely determined by the linearized theory. Taking the limiting process: R =∞ and R m =∞, but e = R m / R =finite, we obtain the flow of an inviscid fluid with infinite electric conductivity with a proper circulation. In the superalfvenic case the circulation coincides with that expected by the conventional Kutta-Joukowski condition, while in the subalfvenic case the circulation is given as a function of e and the Alfven number.

The effect of finite conductivity on the propagation of hydromagnetic slow waves

The present paper deals with the one-dimensional propagation of disturbances in an inviscid conducting fluid of finite magnetic Reynolds number. The following conspicuous property is shown: The basic equations are not hyperbolic but nevertheless the slow wave has a domain of dependence determined by the sound velocity.