Mathematical Analysis of Viscoelastic Flows

Erscheinungsjahr 1987
ISBN: 978-0-89871-457-9
Verlag: Society for Industrial and Applied Mathematics

Buch, Englisch, Band 73, 114 Seiten, Format (B × H): 152 mm x 228 mm, Gewicht: 212 g

Reihe: Classics in Applied Mathematics

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.

Autoren/Hrsg.

Renardy, Michael

Fachgebiete

• Naturwissenschaften Physik Mechanik Kontinuumsmechanik, Strömungslehre
• Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik
• Technische Wissenschaften Maschinenbau | Werkstoffkunde Technische Mechanik | Werkstoffkunde Strömungslehre
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle

Inhaltsverzeichnis

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.