**Thursday Afternoon, October 26 **
## MS51

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

8/10/95