The book introduces readers to and summarizes the current ideas and theories about the basic mechanisms for transport in chaotic flows. Typically no single paradigmatic approach exists as this topic is relevant for fields as diverse as plasma physics, geophysical flows and various branches of engineering. Accordingly, the dispersion of matter in chaotic or turbulent flows is analyzed from different perspectives. Partly based on lecture courses given by the author, this book addresses both graduate students and researchers in search of a high-level but approachable and broad introduction to the topic.
Author(s): Oleg G. Bakunin (auth.)
Series: Springer Series in Synergetics 10
Edition: 1
Publisher: Springer-Verlag Berlin Heidelberg
Year: 2011
Language: English
Pages: 354
Tags: Statistical Physics, Dynamical Systems and Complexity;Classical Continuum Physics;Geophysics/Geodesy;Fluid- and Aerodynamics
Front Matter....Pages i-xiii
Front Matter....Pages 1-1
Introduction....Pages 3-19
Advection and Transport....Pages 21-35
The Langevin Equation and Transport....Pages 37-50
Front Matter....Pages 51-51
Lagrangian Description of Chaotic Flows....Pages 53-68
Lagrangian Chaos....Pages 69-86
Front Matter....Pages 87-87
Correlation Effects and Transport Equations....Pages 89-105
The Taylor Shear Dispersion....Pages 107-125
Front Matter....Pages 127-127
Fractal Objects and Scaling....Pages 129-144
Random Shear Flows and Correlations....Pages 145-162
Front Matter....Pages 163-163
Transport and Complex Structures....Pages 165-179
Fractional Models of Anomalous Transport....Pages 181-202
Front Matter....Pages 203-203
Isotropic Turbulence and Spectra....Pages 205-217
Turbulence and Scalar....Pages 219-230
Relative Diffusion and Scaling....Pages 231-247
Two-Dimensional Turbulence and Transport....Pages 249-264
Front Matter....Pages 265-265
Convection and Rayleigh Number....Pages 267-278
Convection and Turbulence....Pages 279-294
Front Matter....Pages 295-295
Coherent Structures and Transport....Pages 297-317
Flow Topology Reconstruction and Transport....Pages 319-334
Back Matter....Pages 335-351
