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Sensitivity of the Solution for Heat Flux or Evaporation to Off‐Diagonal Turbulent Diffusivities
Author(s) -
Yeh GourTsyh,
Brutsaert Wilfried
Publication year - 1971
Publication title -
water resources research
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.863
H-Index - 217
eISSN - 1944-7973
pISSN - 0043-1397
DOI - 10.1029/wr007i003p00734
Subject(s) - thermal diffusivity , diagonal , turbulence , tensor (intrinsic definition) , anisotropy , flux (metallurgy) , geometry , physics , diffusion , geology , principal axis theorem , mathematics , mechanics , thermodynamics , materials science , optics , metallurgy
In most previous studies of three‐dimensional turbulent diffusion in the lower atmosphere, it was assumed that the principal axes of the diffusivity tensor coincide with the x direction of the mean wind, with the vertical z , and with the lateral y [ Sutton , 1934; Monin , 1959; Laikhtman , 1964; Yeh and Brutsaert , 1971]. Thus the diffusivity was taken as a diagonal tensor with components K xx , K yy , and K zz . However recent experimental evidence [ Zubkhovskii and Tsvang , 1966; Wesely et al. , 1970] and theoretical analysis [ Lettau , 1952; Matsuoka , 1961; Gee and Davies , 1964; Brutsaert , 1970] have suggested that the principal axes of the diffusivity tensor do not coincide with the vertical and the mean wind direction but are tilted and that there is an additional diffusivity, namely an off‐diagonal component K xz = K zx .