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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."
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."
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