Sedimentation and Thickening

1. Front Matter

   Pages i-xiii

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2. Introduction

   • María Cristina Bustos, Fernando Concha, Raimund Bürger, Elmer M. Tory

   Pages 1-6

3. Theory of mixtures

   • María Cristina Bustos, Fernando Concha, Raimund Bürger, Elmer M. Tory

   Pages 7-26

4. Theory of sedimentation of ideal suspensions

   • María Cristina Bustos, Fernando Concha, Raimund Bürger, Elmer M. Tory

   Pages 27-34

5. Sedimentation with compression

   • María Cristina Bustos, Fernando Concha, Raimund Bürger, Elmer M. Tory

   Pages 35-51

6. The initial value problem for a scalar conservation law

   • María Cristina Bustos, Fernando Concha, Raimund Bürger, Elmer M. Tory

   Pages 52-71

7. The Riemann problem for a scalar conservation law

   • María Cristina Bustos, Fernando Concha, Raimund Bürger, Elmer M. Tory

   Pages 72-94

8. The initial-boundary value problem for a scalar conservation law

   • María Cristina Bustos, Fernando Concha, Raimund Bürger, Elmer M. Tory

   Pages 95-110

9. Batch sedimentation of ideal suspensions

   • María Cristina Bustos, Fernando Concha, Raimund Bürger, Elmer M. Tory

   Pages 111-148

10. Continuous sedimentation of ideal suspensions

    • María Cristina Bustos, Fernando Concha, Raimund Bürger, Elmer M. Tory

    Pages 149-183

11. Mathematical theory for sedimentation with compression

    • María Cristina Bustos, Fernando Concha, Raimund Bürger, Elmer M. Tory

    Pages 184-199

12. Numerical simulation of sedimentation with compression

    • María Cristina Bustos, Fernando Concha, Raimund Bürger, Elmer M. Tory

    Pages 200-214

13. Critical review of thickener design methods

    • María Cristina Bustos, Fernando Concha, Raimund Bürger, Elmer M. Tory

    Pages 215-235

14. Alternate treatments and open problems

    • María Cristina Bustos, Fernando Concha, Raimund Bürger, Elmer M. Tory

    Pages 236-252

15. Back Matter

    Pages 253-285

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The aim of this book is to present a rigorous phenomenological and mathematical formulation of sedimentation processes and to show how this theory can be applied to the design and control of continuous thickeners. The book is directed to stu­ dents and researchers in applied mathematics and engineering sciences, especially in metallurgical, chemical, mechanical and civil engineering, and to practicing en­ gineers in the process industries. Such a vast and diverse audience should read this book differently. For this reason we have organized the chapters in such a way that the book can be read in two ways. Engineers and engineering students will find a rigorous formulation of the mathematical model of sedimentation and the exact and approximate solutions for the most important problems encountered in the laboratory and in industry in Chapters 1 to 3, 7 and 8, and 10 to 12, which form a self-contained subject. They can skip Chapters 4 to 6 and 9, which are most important to applied mathematicians, without losing the main features of sedimentation processes. On the other hand, applied mathematicians will find special interest in Chapters 4 to 6 and 9 which show some known but many recent results in the field of conservation laws of quasilinear hyperbolic and degenerate parabolic equations of great interest today. These two approaches to the theory keep their own styles: the mathematical approach with theorems and proofs, and the phenomenological approach with its deductive technique.

• Boundary value problem
• Metall
• civil engineering
• metal
• model
• simulation
• solid
• partial differential equations

"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)

• Department of Mathematical Engineering, University of Concepción, Chile

  María Cristina Bustos, Fernando Concha

• Institute of Mathematics A, University of Stuttgart, Germany

  Raimund Bürger

• Department of Mathematics and Computer Science, Mount Allison University, Sackville, Canada

  Elmer M. Tory

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