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Summary: GRADUATE STUDENT SEMINAR
University of Regina
Department of Mathematics and Statistics
Date: Friday, April 8, 2005
Time: 3.30pm (Coffee & Cookies at 3pm)
Location: Mathematics Lounge
Speaker: Peter Banh (MSc Candidate supervised by Dr F Labropulu)
Title: Exact Solutions of non-Newtonian Fluid Flows with Prescribed
Vorticity
Abstract
During the past decade, there has been substantial interest in flows of
viscoelastic liquids due to the occurrence of these fluids in industrial
processes. The equations of motion of a non-Newtonian second-grade fluid
flow are highly nonlinear partial differential equations. For this reason, we
cannot find the general solution. Thus, there exist only a limited number of
exact solutions. Due to the complexity of the equations, inverse methods
become attractive in the study of non-Newtonian fluids. In this lecture, we
study the steady incompressible viscous non-Newtonian second-grade fluid
flows in which the vorticity is proportional to the stream function perturbed
by a uniform stream.
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