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Barriers And Transport In Unsteady Flows A Melnikov Approach Balasuriya

SKU: BELL-10597352

$ 31.00 ~~$ 45.00~~ (-31%)

4.8

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Barriers And Transport In Unsteady Flows A Melnikov Approach Balasuriya instant download after payment.

Publisher: Society for Industrial and Applied Mathematics (SIAM

File Extension: PDF

File size: 20.13 MB

Pages: 264

Author: Balasuriya, Sanjeeva

ISBN: 9781611974584, 1611974585

Language: English

Year: 2017

Product desciption

Barriers And Transport In Unsteady Flows A Melnikov Approach Balasuriya by Balasuriya, Sanjeeva 9781611974584, 1611974585 instant download after payment.

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 of a coherent structure. 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. Barriers and Transport in Unsteady Flows: A Melnikov Approach provides an extensive introduction and bibliography, specifically elucidating the difficulties arising when flows are unsteady and highlighting relevance in geophysics and microfluidics; careful and rigorous development of the mathematical theory of unsteady flow barriers within the context of nonautonomous stable and unstable manifolds, richly complemented with examples; and chapters on exciting new research in the control of flow barriers and the optimization of transport across them.