Abstract

The question of the non-linear effects in some unsteady flows of non-Newtonian fluids is addressed. Exact similarity solutions in closed form are presented for Stokes' first problem, for Couette rotating flow, for the spreading of a thin fluid layer and for unsteady flow through a porous medium. From these solutions the conditions for the existence of traveling-wave characteristics are found for the velocity, shear stress and pressure distributions.

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