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Excerpt from The Structure of Isotropic Turbulence at Very High Reynolds Numbers
As we take the limit L the number of bilinear terms on the right side of increases without limit, but any given wavevector appears in at most two terms in the sum (once as'g and once as Therefore it would appear that, in the limit, the dynamical coupling among any finite number of modes is infinitely weak, since, in the equation of motion.of each.member of the group, the others appear in only a finite number of the infinitely many bilinear terms which contribute.
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The Structure of Isotropic Turbulence at Very High Reynolds Numbers
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Paperback. Condition: New. Print on Demand. Based on a grand theory of turbulence by the author, this book extends the theory to the analysis of stationary, isotropic turbulence at extremely high Reynolds numbers. The author assumes the existence and behavior of inertial and dissipation ranges of wavenumbers, then finds an energy spectrum that fits both ranges. The exact solution for the inertial range spectrum is proportional to a universal function, a consequence of local energy transport, with implications for the statistical mechanics of extremely high Reynolds number isotropic turbulence. There is local energy transport, which results in energy being dissipated primarily by the viscous damping of high wavenumber modes, rather than through a cascade of interactions to progressively smaller scales. The author also examines the skewness and flatness factors of the distribution of velocity derivatives, finding universal constants that describe flatness at extremely high Reynolds numbers. This book details the author's innovative approach and mathematical derivations, providing a rich resource for theoretical physicists, applied mathematicians, and researchers in hydrodynamic and geophysical fluid dynamics. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. Seller Inventory # 9781334254420_0
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The Structure of Isotropic Turbulence at Very High Reynolds Numbers Classic Reprint
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781334254420
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