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A new proof of Kolmogorov’s 4/5-law

H. O. Rasmussen

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Source: Crossref

Published: Nov 1, 1999

DOI: 10.1063/1.870207

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Source abstract

This paper presents a proof of Kolmogorov’s 4/5-law that uses only elementary vector analysis and which thereby avoids the more intricate tensor analysis. From this proof, it is easily seen that the 4/5-law holds also for turbulence lacking reflectional symmetry. Ordinary tensor analysis is used in order to confirm this conclusion.

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A new proof of Kolmogorov’s 4/5-law — Mathematical Frontier Network