Mixing processes occur in many technological and natural applications, with length and time scales ranging from the very small to the very large. The diversity of problems can give rise to a diversity of approaches. Are there concepts that are central to all of them? Are there tools that allow for prediction and quantification? The authors show how a variety of flows in very different settings possess the characteristic of streamline crossing. This notion can be placed on firm mathematical footing via Linked Twist Maps (LTMs), which is the central organizing principle of this book. The authors discuss the definition and construction of LTMs, provide examples of specific mixers that can be analyzed in the LTM framework and introduce a number of mathematical techniques which are then brought to bear on the problem of fluid mixing. In a final chapter, they present a number of open problems and new directions.
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"The material is presented in a style that should make it accessible to a wise audience, and especially to readers involved in practical aspects of mixing who wish to learn more about the mathematical problems underlying the physical phemonology."
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Linked Twist Maps can provide a unifying framework for understanding many types of fluid mixing, ranging from the very small to the very large, from fluids to solids. The authors discuss the definition and construction of LTMs, provide examples of specific mixers, and present a number of open problems.
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This book cites 48
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- Ergodic Theory (Grundlehren der mathematischen Wissenschaften) by I. P. Kornfeld in Back Matter (1), Back Matter (2), and Back Matter (3)
- Ergodic Theory (Cambridge Studies in Advanced Mathematics) by Karl E. Petersen in Back Matter (1), and Back Matter (2)
- Radial Basis Functions: Theory and Implementations (Cambridge Monographs on Applied and Computational Mathematics) by Martin D. Buhmann in Front Matter
- Generalized Riemann Problems in Computational Fluid Dynamics (Cambridge Monographs on Applied and Computational Mathematics) by Matania Ben-Artzi in Front Matter
- Physical Processes in Estuaries by Job Dronkers in Back Matter
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