SIAM Homepage | Search Catalog | New Books | Author Index | Series Index | Title Index | View My Shopping Cart



The catalog and shopping cart are hosted for SIAM by EasyCart. Your transaction is secure. If you have any questions about your order, contact siambooks@siam.org.

Purchase Now!

Mathematical Analysis of Viscoelastic FlowsMathematical Analysis of Viscoelastic Flows

Michael Renardy



CBMS-NSF Regional Conference Series in Applied Mathematics 73

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.

This monograph is based on a series of lectures presented at the 1999 NSF-CBMS Regional Research Conference on Mathematical Analysis of Viscoelastic Flows. It begins with an introduction to phenomena observed in viscoelastic flows, the formulation of mathematical equations to model such flows, and the behavior of various models in simple flows. It also discusses the asymptotics of the high Weissenberg limit, the analysis of flow instabilities, the equations of viscoelastic flows, jets and filaments and their breakup, as well as several other topics.

Audience

Applied mathematicians interested in polymer rheology will find the discussion of current research topics in this book useful. Engineers working in fluid mechanics, non-Newtonian fluids, rheology, and polymeric flows will also benefit from reading this book. Readers will benefit from a general background in differential equations and fluid dynamics.

Contents

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

2000 / x + 104 pages / Softcover / ISBN-13: 978-0-898714-57-9 / ISBN-10: 0-89871-457-5 /
List Price $53.50 / SIAM/CBMS Member Price $37.45 / Order Code CB73
Price
Quantity desired
   



Search our catalog for:

Shopping cart provided by: EasyCart.com
Select quantity and list or member price and then click the "Click to Order" button to add books to your shopping cart.
Banner art adapted from a figure by Hinke M. Osinga and Bernd Krauskopf (University of Auckland, NZ.)