Overview

Fluids that mix at geophysical or microscales tend to form well-mixed areas and regions of coherent blobs. The Antarctic circumpolar vortex, which mostly retains its structure while moving unsteadily in the atmosphere, is an example. How do such structures exchange fluid with their surroundings? What is the impact on global mixing? What is the 'boundary' of the structure, and how does it move? Can these questions be answered from time-varying observational data? This book addresses these issues from the perspective of the differential equations that must be obeyed by fluid particles. In these terms, identification of the boundaries of coherent structures (i.e. 'flow barriers'), quantification of transport across them, control of the locations of these barriers, and optimization of transport across them are developed using a rigorous mathematical framework. The concepts are illustrated with an array of theoretical and applied examples that arise from oceanography and microfluidics.

Full Product Details

Author:   Sanjeeva Balasuriya (University of Adelaide)
Publisher:   Society for Industrial & Applied Mathematics,U.S.
Imprint:   Society for Industrial & Applied Mathematics,U.S.
Volume:   21
Dimensions:   Width: 17.80cm , Height: 1.80cm , Length: 25.50cm
Weight:   0.600kg
ISBN:  

9781611974577

ISBN 10:   1611974577
Pages:   276
Publication Date:   26 January 2017
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

List of figures; Preface; 1. Unsteady (nonautonomous) flows; 2. Melnikov theory for stable and unstable manifolds; 3. Quantifying transport flux across unsteady flow barriers; 4. Optimizing transport across flow barriers; 5. Controlling unsteady flow barriers; Bibliography; Index.

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Author Information

Sanjeeva Balasuriya is an Australian Research Council Future Fellow at the School of Mathematical Sciences, University of Adelaide. He has held positions at the University of Peradeniya, Sri Lanka, Oberlin College, Ohio, Connecticut College, and the University of Sydney. His work in ordinary differential equations is inspired by many applied areas, and he has published in the Journal of Fluid Mechanics, the Journal of Theoretical Biology, the Journal of Micromechanics and Microengineering, Combustion Theory and Modeling, and Physical Review Letters, among other journals. He was the advisor to a University of Adelaide team that won the INFORMS Prize at the 2015 Mathematical Contest in Modeling and was awarded the 2006 J. H. Michell Medal for outstanding early career researcher in applied mathematics by Australian and New Zealand Industrial and Applied Mathematics (ANZIAM).

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