Estimation of the Lagrangian Kolmogorov constant from Eulerian measurements for distinct Reynolds number with application to pollution dispersion model

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An expression that allows the determination of the Lagrangian Kolmogorov structure function constant C 0 from the knowledge of the constant C S associated to the second order Eulerian velocity structure function and the γ numerical coefficient relating the Eulerian spectra constant to the Lagrangian one, is suggested. Experimental data from both wind tunnel and atmospheric boundary layer observation were used to determine C S. The study agrees with the universal nature of the Eulerian C S constant for fully developed turbulence. The analysis leads to an estimate of C 0≅5.09±0.93, in agreement with previous studies. This estimated value has been employed in a Lagrangian stochastic dispersion model to simulate the observed concentration obtained from classical diffusion experiments.