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This book provides an introduction to the theory of turbulence in fluids based on the representation of the flow by means of its vorticity field. It has long been understood that, at least in the case of incompressible flow, the vorticity representation is natural and physically transparent, yet the development of a theory of turbulence in this representation has been slow. The pioneering work of Onsager and of Joyce and Montgomery on the statistical mechanics of two-dimensional vortex systems has only recently been put on a firm mathematical footing, and the three-dimensional theory remains in parts speculative and even controversial. The first three chapters of the book contain a reasonably standard intro duction to homogeneous turbulence (the simplest case); a quick review of fluid mechanics is followed by a summary of the appropriate Fourier theory (more detailed than is customary in fluid mechanics) and by a summary of Kolmogorov's theory of the inertial range, slanted so as to dovetail with later vortex-based arguments. The possibility that the inertial spectrum is an equilibrium spectrum is raised.
- Sales Rank: #1084209 in Books
- Published on: 2013-04-12
- Released on: 2013-04-12
- Original language: English
- Number of items: 1
- Dimensions: 9.25" h x .43" w x 6.10" l, .60 pounds
- Binding: Paperback
- 176 pages
Most helpful customer reviews
2 of 3 people found the following review helpful.
Important text on turbulence
By Walter Reade
This is very good book for understanding the mathematical aspects of turbulence. The book is clearly written and is dense with information. Contents include equations of motion, random flow and its spectra, the Kolmogorov theory, equilibrium flow in spectral variables and in two space dimensions, vortex stretching, polymers, percolation, and renormalization, and vortex equilibria in three-dimensional space.
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