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Other titles in the Cambridge Texts in Applied Mathematics series:
Cambridge Texts in Applied Mathematics #3: The Kinematics of Mixing: Stretching, Chaos, and Transportby J. M. Ottino
Synopses & Reviews
Professor Ottino presents a unified and systematic account of the kinematics of mixing fluids. He suggests that fluid mixing be regarded, in some respects, as the efficent stretching and folding of material lines and surfaces. This corresponds to analyzing a particular type of dynamical system, and Ottino explores the connection. The work is heavily illustrated with line diagrams, and black-and-white and color plates. The graphics aid the reader in developing a more systematic and intuitive picture, complementing the scientific presentation given in the text itself.
In spite of its universality, mixing is poorly understood and generally speaking, mixing problems are attacked on a case-by-case basis. This is the first book to present a unified treatment of the mixing of fluids from a kinematical viewpoint. The author's aim is to provide a conceptually clear basis from which to launch analysis and to facilitate an understanding of the numerous mixing problems encountered in nature and technology. After presenting the necessary background in kinematics and fluid dynamics, Professor Ottino considers various examples of dealing with necessary background in dynamical systems and chaos.
An extensively illustrated account of the kinematics of mixing fluids suggests that fluid mixing be regarded, in some respects, as the efficient stretching and folding of material lines and surfaces.
This is the first book to present a unified treatment of the mixing of fluids from a kinematical viewpoint.
Table of Contents
Preface; Acknowledgments; 1. Introduction; 2. Flow, trajectories and deformation; 3. Conservation equations, change of frame, and vorticity; 4. Computation of stretching and efficiency; 5. Chaos in dynamical systems; 6. Chaos in Hamiltonian systems; 7. Mixing and chaos in two-dimensional time-periodic flows; 8. Mixing and chaos in three-dimensional and open flows; 9. Epilogue: diffusion and reaction in lamellar structures and microstructures in chaotic flows; Appendix; List of frequently used symbols; References; Author index; Subject index.
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