Synopses & Reviews
This book presents a rigorous phenomenological theory of sedimentation processes as encountered in Solid-liquid separation vessels, known as thickeners, in the mineral industries. This theory leads to mathematical simulation models for batch and continuous sedimentation processes, which can be stated as initial-boundary value problems of hyperbolic conservation laws and so-called degenerate parabolic equations. Existence and uniqueness theories for these equations are presented, including very recent results, and the most important problems are solved exactly, where possible, or numerical examples are given. A study of thickener design procedures based on these simulation models is presented. The book closes with a review of alternative treatments of thickening, which may not fall within the scope of the mathematical model developed. Audience: This book is intended for students and researchers in applied mathematics and in engineering sciences (metallurgical, chemical, mechanical and civil engineering) and provides self-contained chapters directed to each audience.
Review
"As a whole the book is organized and written very well. The book is an interesting combination of modeling and rigorous mathematics." (Mathematical Reviews 2002b)
Description
Includes bibliographical references (p. 253-263) and indexes.
Table of Contents
Preface. Introduction.
1. Theory of mixtures.
2. Sedimentation of ideal suspensions.
3. Sedimentation with compression.
4. The initial value problem for a scalar conservation law.
5. The Riemann problem for a scalar conservation law.
6. The initial-boundary value problem for a scalar conservation law.
7. Batch sedimentation of ideal suspensions.
8. Continuous sedimentation of ideal suspensions.
9. Mathematical theory for sedimentation with compression.
10. Numerical simulation of sedimentation with compression.
11. Thickener design.
12. Alternate treatments and open problems.
12. Alternate treatments and open problems. Bibliography. Notation Guide. Subject Index. Author Index.