Mathematical Analysis of Viscoelastic Flows

This book presents an overview of mathematical problems, methods, and results relating to research on viscoelastic flows.

Michael Renardy (Author)

9780898714579, Society for Industrial and Applied Mathematics

Paperback / softback, published 1 January 1987

114 pages
25.2 x 17.2 x 0.8 cm, 0.212 kg

The flow behavior of fluids such as molten plastics, biological fluids, and paints is much more varied and complex than that of traditional Newtonian fluids. The role of numerical simulation in the study of such flows has increased tremendously over the past fifteen years, and the phenomena and numerical difficulties in complex flows have led to new and challenging mathematical questions. Studying such flows presents a host of problems, as well as opportunities for mathematical analysis, including questions of asymptotics, qualitative dynamics, and adequacy of numerical methods. Mathematical Analysis of Viscoelastic Flows presents an overview of mathematical problems, methods, and results relating to research on viscoelastic flows.

Preface
1. Phenomena in Non-Newtonian Flows
2. Mathematical Formulation
3. Behavior in Simple Flows
4. Existence Theory
5. Numerical Methods
6. High Weissenberg Number Asymptotics
7. Reentrant Corner Singularities
8. Instabilities
9. Change of Type
10. Jet Breakup
Bibliography
Index.

Subject Areas: Fluid mechanics [PHDF], Maths for scientists [PDE]