The Kinematics of Mixing: Stretching, Chaos, and Transport

ISBN-13: 9780521368780 / Angielski / Miękka / 1989 / 396 str.

J. M. Ottino; D. G. Crighton; M. J. Ablowitz

Opis

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.

Recenzje

"...a well-organized and thorough treatment of a subject of substantial current research interest. It would be a good text for a specialized graduate course on the kinematic approach to mixing (probably in Chemical Engineering departments, where most of the research in this area occurs), or to bring new workers in the field up to speed." John de Bruyn, Physics in Canada

Spis treści

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.