Some Investigations on Inviscid Boundary Layer of Magnetohydrodynamics

The inviscid boundary layer in a two-dimensional aligned-fields flow of highly conducting, inviscid, incompressible fluid is considered. If a transformation analogous to one in conventional viscous boundary layer problem is applied, a general solution of the magnetic boundary layer in the case of very weak magnetic filed is obtained. A similar solution for the stagnation point flow is obtained by the method of series expansion in pressure number. The solution for the same flow is also obtained by integrating directly the original equation without any expansion. Both solution are compared with each other. The discussions on the thickness of the boundary layer and nonexistence of the solution for the case of the case of the pressure number greater than unity are given.