Abstract
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.
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