The Kinematics of Mixing Stretching, Chaos, and Transport [Paperback]

This is the first book to present a unified treatment of the mixing of fluids from a kinematical viewpoint.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.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.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.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. ...succeeds admirably in conveying the author's perspective on mixing and its relationship to a wider range of topics in flow analysis. Kinematics of Mixing: Stretching, Chaos, and Transport is highly recommended as a reference for researchers interested in the dynamics of complex flow fields. Applied Mechanics Review ...this book has a number of unique and attractivelóa