Thursday Afternoon, October 26

Modeling and Simulation of Viscoelastic Flows

Many fluids of industrial importance, such as polymer melts and solutions, are viscoelastic and behave in a complicated fashion. The speakers in this minisymposium will discuss the mathematical theory of viscoelastic liquids, constitutive models for them, and the physical consequences of the models. The mathematical problems that arise involve non-linear differential, integro-differential and integral equations. A wide range of analytical, asymptotic and numerical techniques are used to obtain solutions and to study the stability of classes of solutions.

Organizer: Yuriko Renardy
Virginia Polytechnic Institute and State University

12:30 Simulation of Viscoelastic Turbulent Channel Flows
Antony N. Beris and R. Sureshkumar, University of Delaware; and Robert Handler, Naval Research Laboratory

1:00 Hopf Bifurcation in Creeping Flow of a Viscoelastic Fliud between a Cone and a Plate
David O. Olagunju, University of Delaware

1:30 Regularity in Linear Hyperbolic Viscoelasticity
Hans Engler, Georgetown University

2:00 Reentrant Corner Singularities for the Upper Convected Maxwell Fluid
Michael Renardy, Virginia Polytechnic Institute and State University

2:30 Mode Interactions in a Viscoelastic Taylor-Couette Flow
Yuriko Renardy, Organizer; Michael Renardy, Virginia Polytechnic Institute and State University; R. Sureshkumar and Antony N. Beris, University of Delaware

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