Plane unsteady motion of a conducting non-newtonian fluid

I. S. Granik - L. K. Martinson

Abstract
We consider a plane unsteady problem of shear flows of a conducting incompressible fluid with a rheological power law in a transverse magnetic field, whose induction depends on the time, with the velocity of a plate lying on the fluid varying with time according to a power law. A generalized solution is constructed in the form of a power series. The limiting transition to a nonconducting fluid is investigated.