Abstract
The hypersonic flow of an electrically conducting fluid around the stagnation region of a sphere carrying a radial magnetic field is examined. By assuming a Newtonian pressure distribution and constant density, the differential equation of the inviscid flow is integrated and a simple closed-form solution is obtained. I t is found that the ratio of the stand-off distances of the shock wave for the magnetic and nonmagnetic cases does not depend explicitly on the magnetic parameter Ss (ratio of the ponderomotive force to the free-stream inertia force) nor on the density ratio e (the value at the free stream divided by the value behind the shock wave) but on the product Ss\/e, at least for values of e between 1/5 and 1/20. The velocity gradient on the body is also calculated and the ratio of the magnetic to the nonmagnetic case is shown to depend on the parameter Ss\/€. The case of cylindrical shocks is also examined; the same general conclusions are drawn.
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