Unsteady shear flows of a conducting fluid with a rheological power law

L. K. Martinson - K. B. Pavlov

Abstract
Certain classes of unsteady plane shear flows of conducting non-Newtonian fluids with a rheological power law in the presence of a transverse magnetic field, for which exact self- preserving solutions are obtained, were investigated. An effect was found which consisted in that, in the case of dilatant fluids, the shear disturbances propagating with finite velocity prove to be localized in a finite region of space.