Abstract
Applying the basic idea of time series analysis to the fluid Lagrangian temporal correlation and Eulerian spatial correlation functions, a model for particles suspended in turbulent flows has been formulated. This model contains both the time and space effects of turbulence on particles. As a validation of the present model, the experiments of Synder and Lumley and of Wells and Stock are simulated numerically. A comparison of the calculated and experimental results, including the particle-transverse dispersions and fluctuating velocity decays, is made. Besides, particle-dispersions and fluctuating velocity decays in the longitudinal direction are also computed in order to examine the effects of the particle inertia and the crossing trajectories.
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