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Kolmogorov constants for structure functions in turbulent shear flows
Author(s) -
Antonia R. A.,
Chambers A. J.,
Satyaprakash B. R.
Publication year - 1981
Publication title -
quarterly journal of the royal meteorological society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.744
H-Index - 143
eISSN - 1477-870X
pISSN - 0035-9009
DOI - 10.1002/qj.49710745308
Subject(s) - turbulence , constant (computer programming) , skewness , physics , function (biology) , reynolds number , shear velocity , mathematics , inertial frame of reference , statistical physics , mathematical analysis , mechanics , classical mechanics , statistics , evolutionary biology , computer science , biology , programming language
Kolmogorov constants in the inertial sub‐range expressions for the second‐order velocity structure function and the one‐dimensional spectrum of the streamwise velocity fluctuation have been estimated for both laboratory turbulent free shear flows and the atmospheric surface layer. A unique relation between the spectral constant α 1 , and the structure function constant is expected when the Reynolds number is infinitely large. the relation is found to be inadequate in both the laboratory and the atmosphere where values of α 1 , obtained via the structure function are, on average, smaller by about 15% than spectral estimates of α 1 . For the present atmospheric data the average estimate, from the second‐order structure function data, of α 1 is about 0.54 in reasonable agreement with an estimate from the skewness of the structure function. the additive constant in the r 3 law is approximately zero for the laboratory data.