Exhaustion of a thin film of a nonlinear-viscous fluid from a slot with slipping relative to the underlying surface

The problem of exhaustion of a thin film of a non-Newtonian fluid with a power rheological law from a slotted orifice is solved with account of film slipping relative to the underlying surface. By the method of group analysis with transformation of the parameters entering the problem, an asymptotic formula for the film profile is obtained and a law of motion of the film edge with small slipping is derived.