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- W1998202204 abstract "Two important types of probing of a turbulent velocity field u(r, t) are the Eulerian probings defined by dr/dt = v (v constant) and the Lagrangian probing defined by dr/dt = u(r, 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 hypothesis is verified in the limit of high probing velocities. The Hay-Pasquill 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." @default.
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- W1998202204 date "1962-07-01" @default.
- W1998202204 modified "2023-10-16" @default.
- W1998202204 title "On the Eulerian-Lagrangian transform in the statistical theory of turbulence" @default.
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- W1998202204 doi "https://doi.org/10.1029/jz067i008p03089" @default.
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