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

V. A. Chugunov, L. D. Èskin, S. L. Tonkonog

Kazan' State University, 420008 Kazan'

Abstract: 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.

UDC: 551.324

Received: 27.05.1998
Accepted: 12.11.1998

 English version: Journal of Applied Mechanics and Technical Physics, 2000, 41:2, 267–272

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