In the steady, incompressible, isotropic and homogeneous turbulent flow with a joint Gaussian distribution for the velocity field, the exact expression of Lagrangian velocity autocorrelation function in the entire range of the time difference is analytically given in this paper. By this expression, the time dependences of the mean square values of the Lagrangian displacement, the Lagrangian integral time scales and their ratios to the relevant Eulerian scales are given for model spectra. In addition, comparisons between the magnitudes of the Lagrangian and Eulerian velocity autocorrelation functions are performed with the model spectra.

No abstract

No abstract

No abstract

No abstract