Interdisciplinary Research on Viscoelasticity and Rheology
Final technical rept. 23 May 1987-14 Oct 1990
WISCONSIN UNIV-MADISON CENTER FOR MATHEMATICAL SCIENCES
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Viscoelastic materials with fading memory, e.g. polymers, suspensions, emulsions, exhibit behavior that is intermediate between the nonlinear hyperbolic response of purely elastic materials and the strongly diffusive, parabolic response of viscous fluids. The following problems that are an outgrowth of earlier research were investigated during the reporting period Provide numerical and analytic explanation of several striking phenomena observed in experiments in shear flows of highly elastic and very viscous non- Newtonian fluids in pressure-driven and piston-driven flows and in Couette flow. Such phenomena can lead to material instabilities deemed capable of severely disrupting advanced materials engineering and process design problems of polymer melts that include spinning of synthetic fibers and injection molding.
- Fluid Mechanics