Sedimentation and Thickening: Phenomenological Foundation and Mathematical Theory: 8 (Mathematical Modelling: Theory and Applications, 8) - Hardcover

Tory, E.M.; Bürger, Raimund; Concha, F.; Bustos, M.C.

Hardcover

ISBN 10: 0792359607 ISBN 13: 9780792359609

Publisher: Springer, 1999

Synopsis

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.

About this title

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)

Synopsis

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.

Edition details

• Publisher: Springer
• Publication date: 1999
• Language: English
• ISBN 10: 0792359607
• ISBN 13: 9780792359609
• Binding: Hardcover
• Number of pages: 298