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Determination of turbulence dissipation by Eulerian variance analysis
Author(s) -
Frenzen P.
Publication year - 1965
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.49709138705
Subject(s) - eulerian path , turbulence , dissipation , anemometer , variance (accounting) , mathematics , term (time) , function (biology) , statistical physics , mechanics , statistics , physics , thermodynamics , accounting , lagrangian , quantum mechanics , evolutionary biology , biology , business
Using a ‘variance function’ to specify the variance retained by a time series smoothed via running means, it is shown that the rate of turbulence dissipation can be computed from an Eulerian wind record supplied by a single, 3‐cup anemometer through the relation ϵ = (A) [( ‐)/(Tk 2/3 ‐ Tj 2/3 )] 3/2 Here A ≈ 3.3 derives from the Kolmogoroff law, Ū is the mean flow, and the numerator of the bracketed term represents the additional reduction in variance effected by increasing the averaging interval from Tj to Tk . Preliminary verifications of the relation are presented, and an experimental programme designed to use the method is outlined.