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| FLUID MECHANICS OF VISCOELASTICITY, 6
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General Principles, Constitutive Modelling, Analytical and Numerical Techniques
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By
R.R. Huilgol, Department of Mathematics & Statistics, The Flinders University of South Australia, GPO Box 2100, Adelaide 5001, Australia
N. Phan-Thien, Department of Mechanical Engineering, Sydney University, Sydney, NSW, Australia
Included in series
Rheology Series, 6
Description
The areas of suspension mechanics, stability and computational rheology have exploded in scope and substance in the last decade. The present
book is one of the first of a comprehensive nature to treat these topics in detail. The aim of the authors has been to highlight the
major discoveries and to present a number of them in sufficient breadth and depth so that the novice can learn from the examples chosen,
and the expert can use them as a reference when necessary.
The first two chapters, grouped under the category General Principles,
deal with the kinematics of continuous media and the balance laws of mechanics, including the existence of the stress tensor and extensions
of the laws of vector analysis to domains bounded by fractal curves or surfaces. The third and fourth chapters, under the heading Constitutive
Modelling, present the tools necessary to formulate constitutive equations from the continuum or the microstructural approach. The
last three chapters, under the caption Analytical and Numerical Techniques, contain most of the important results in the domain
of the fluid mechanics of viscoelasticity, and form the core of the book.
A number of topics of interest have not yet been developed
to a theoretical level from which applications can be made in a routine manner. However, the authors have included these topics to make
the reader aware of the state of affairs so that research into these matters can be carried out. For example, the sections which deal
with domains bounded by fractal curves or surfaces show that the existence of a stress tensor in such regions is still open to question.
Similarly, the constitutive modelling of suspensions, especially at high volume concentrations, with the corresponding particle migration
from high to low shear regions is still very sketchy.
Audience
Universities of Institutes with Chemical of Mechanical Engineering or Mechanics Departments. Polymer processing industries and software developers.
Contents
General Principles.
1. Kinematics of fluid flow. 2. Balance equations for smooth and non-smooth regions.
Constitutive
Modelling.
3. Formulation of constitutive equations - the simple fluid. 4. Constitutive equations derived from microstructures.
Analytical and Numerical Techniques.
5. The shape and nature of general solutions. 6. Simple models and complex phenomena.
7. Computational viscoelastic fluid dynamics. Index.
| Bibliographic details |
Hardbound, 0 pages, publication date: JUN-1997
ISBN-13: 978-0-444-82661-9
ISBN-10: 0-444-82661-0
Imprint: ELSEVIER
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| Price and Ordering |
Price:
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USD 317
GBP 186
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Last update: 12 Jun 2009
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