Lagrangian model on the turbulent motion of small solid particle in turbulent boundary layer flows

The Lagrangian equations of motion of Small solid particle in turbulent boundary layer flows, taking into account the effects of the drag force caused by the wall presence, the Saffman and the Magus lift forces et al.. is studied. Using the spectral method. anavtical expressions relating to the Lagrangian power spectra of particle velocity to that of the fluid are dereloped and the results are used to evaluate rarious response statistics. In this paper, the results clearly show that the turbulent diffusivity of the particle may be larger than that of fluid for a period of long-time.