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On the Asymptotic Structure of Turbulent Transfer Coefficients
Author(s) -
Criminale W. O.
Publication year - 1975
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.19750550603
Subject(s) - turbulence , boundary layer , scalar (mathematics) , boundary (topology) , laminar sublayer , limiting , curse of dimensionality , physics , turbulence modeling , statistical physics , mechanics , classical mechanics , mathematics , mathematical analysis , geometry , flow separation , statistics , mechanical engineering , engineering
Rather than use the concept of eddy coefficients, the analysis presented here is an attempt to provide an alternative method for investigating the transport of scalar quantities due to turbulence near a solid boundary. The basis of the theoretical model stems from the concept put forth by Sternberg (1962, 1965) for the viscous sublayer and hence the the results are considered valid in the limiting sense as the boundary is approached. It is possible to directly evaluate turbulent transfer, and thereby an indication of the structure in this region is provided. Under the assumption of passivity, only the boundary layer over a flat plate is considered quantitatively in detail but extension to cases with more complexity is equally applicable. It is found that the three‐dimensionality is essential to the fluctuating field within the molecular sublayer and even here the turbulent transfer becomes negative just before vanishing at the boundary. The combined sum of the turbulent and the molecular transfer is, however, positive.