NONLINEAR BOUNDARY-VALUE PROBLEM FOR A CONDUCTING SOURCE FLOW IN AN INHOMOGENEOUS MAGNETIC FIELD.

A closed form solution in terms of elliptic functions is given for a nonlinear boundary-value problem describing a conducting viscous fluid, which flows between plane divergent walls across an azimuthal magnetic field. The conducting fluid is injected through an inner circular section (source) and removed downstream through an outer circular section (sink). It is shown that the flow exhibits regions of forward and backward fluid motion in the general case.