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On the Concept of Similiarity in the Theory of Isotropic Turbulence

von Kármán, Theodore and Lin, C. C. (1949) On the Concept of Similiarity in the Theory of Isotropic Turbulence. Reviews of Modern Physics, 21 (3). pp. 516-519. ISSN 0034-6861. doi:10.1103/RevModPhys.21.516.

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Much recent work has been done in the study of isotropic turbulence, particularly from the point of view of its spectrum. But the underlying concept is still the assumption of the similarity of the spectrum during the process of decay, which is equivalent to the idea of self-preservation of the correlation functions introduced by the senior author. It is however generally recognized that the correlation function does change its shape during the process of decay, and hence the concept of self-preservation or similarity must be interpreted with suitable restrictions. Under the limitation to low Reynolds numbers of turbulence, the original idea of Kármán-Howarth has been confirmed. Then the decay consists essentially of viscous dissipation of energy separately in each individual frequency interval. However, when turbulent diffusion of energy, i.e., transfer of energy between frequency intervals, occurs at a significant rate, the interpretation of the decay process and the spectral distribution is quite varied. This an be seen by a comparison of Heisenberg, Batchelor, Frenkiel, and the present authors. The purpose of the present paper is an attempt to clarify this situation.

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Additional Information:© 1949 The American Physical Society.
Issue or Number:3
Record Number:CaltechAUTHORS:20140731-170457652
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:47757
Deposited By: George Porter
Deposited On:01 Aug 2014 04:05
Last Modified:10 Nov 2021 17:50

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