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.
General
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