On the Eulerian-Lagrangian Transform in the Statistical Theory of Turbulence

Publication: Research - peer-reviewJournal article – Annual report year: 1962

  • Author: Wandel, C. F:

  • Author: Kofoed-Hansen, O.

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"Fundamental Problems in Turbulence" Conference Paper (see Abstr. 1962A024007). Two important types of probing of a turbulent velocity field droarr/dtoarr = voarr (voarr constant) and the Lagrangian probing defined by droarr/dtoarr = roarr (roarr t). Explicit expressions are derived for the transformation of autocorrelations and power spectra obtained by Eulerian and Lagrangian probing in the case of fully developed isotropic and homogeneous turbulence. The derivations are based on a statistical representation of the turbulent velocity field using the results of the equilibrium theory of turbulence. The Taylor (1921) hypothesis is verified in the limit of high probing velocities. The Hay-Pasquill (1960) conjecture relating the Lagrangian and Eulerian power spectra results as an approximation to the transformation equations. Application of the results to the theory of turbulent diffusion is indicated.
Original languageEnglish
JournalJournal of Geophysical Research
Issue number8
Pages (from-to)3089-3093
StatePublished - 1962
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ID: 5865533