Title:
An informal conceptual introduction to turbulence / Arkady Tsinober.
Fluid mechanics and its applications ;
Fluid mechanics and its applications ;
Main Entry:
Tsinober, A. (Arkady), 1937-
Publisher:
Springer,
Publication Date:
2009.
Publication Place:
Dordrecht ; New York :
ISBN:
9789048131730
9048131731
Subject:
Turbulence.
Series:
Fluid mechanics and its applications ; v. 92
Fluid mechanics and its applications ; v. 92.
Edition:
2nd ed.
Contents:
Introduction. Brief history ; Nature and major qualitative universal features of turbulent Flows ; Why turbulence is so impossibly difficult? The three N's ; Outline of the following material ; In lieu of a summary. -- Origins of turbulence. Instability ; Transition to turbulence versus routes to chaos ; Many ways of creating turbulent flows ; Summary. -- Methods of describing and studying turbulent flows. Deterministic versus random/stochastic or how 'statistical' is turbulence? ; On statistical theories, reduced (low-dimensional) representations and related matters ; Turbulence versus deterministic chaos ; Statistical methods of looking at the data only? Or what kind of statistics one needs? ; Decompositions/representations ; Eulerian versus Lagrangian descriptions ; Ergodicity ; On methods of studying turbulent flows ; Summary. -- Kinematics. Passive objects in random fluid flows ; Kinematic/Lagrangian chaos/advection ; On the relation between Eulerian and Lagrangian fields ; Summary. -- Phenomenology. Introductory notes ; Kolmogorov phenomenology and related subjects ; Anomalous scaling ; Cascade ; Summary. -- Dynamics. Introduction ; Why velocity derivatives? ; The Tennekes and Lumley (TL) balance and self-amplification of the field of velocity derivatives ; Geometrical statistics ; Depression of nonlinearity ; Nonlocality ; Acceleration and related matters ; on-Gaussian nature of turbulence ; Irreversibility of turbulence ; Summary. -- Structure(s) of turbulent flows. Introduction ; Intermittency ; What is (are) structure(s) of turbulent flows? ; Which quantities possess structure in turbulence and how one 'digs' them out? ; Summary. -- Turbulence under various influences and physical circumstances. Introduction ; Shear flows ; Partly-turbulent flows -- entrainment and phenomena in the proximity of interfaces ; Variable density; Rotation ; Negative eddy viscosity phenomena ; Magnetohydrodynamic flows ; Two-dimensional turbulence ; Pure two-dimensional versus quasi-two-dimensional ; Additives. -- Analogies, misconceptions and illdefined concepts. Introduction ; Eddy viscosity, Models ; Genuine turbulence versus passive "turbulence" ; Vorticity versus passive vectors ; Summary. -- Conclusion/close. Universality ; Reynolds-number dependence and the limit of vanishing viscosity ; Turbulence versus mathematics and vice versa ; On the goals of basic research in turbulence.
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