ON THE KUTTA-JOUKOWSKI CONDITION IN THE MAGNETO FLUID DYNAMICS,

The effect of an aligned magnetic field H on the lifting force, experienced by a flat plate at incidence in a conducting fluid, is examined with respect to variations in the conductivity and in H . The governing integral equation does not possess a unique solution unless the velocity is required to be finite either at the trailing edge or at the leading edge of the plate. It is then solved numerically for various finite values of and its asymptotic behavior is examined analytically. The conclusions are if the un disturbed fluid vvelocity V , the Alfven speed whichever side condition is imposed at finite , the solution as formally satisfies the same condition. If V and the velocity is required to be finite at the trailing edge, as the velocity formally becomes finite at the leading edge and develops a quasi-singular behavior at the trailing edge. On the other hand if V and the velocity is required to be finite at the leading edge the solution appears to become pathological as . The critical case V is also examined. Author