Xb. Liu et Lj. Cheng, LAGRANGIAN MODEL ON THE TURBULENT MOTION OF SMALL SOLID PARTICLE IN TURBULENT BOUNDARY-LAYER FLOWS, Applied mathematics and mechanics, 18(3), 1997, pp. 297-306
The Lagrangian equations of motion of small particle in turbulent boun
dary layer flows, taking into account the effects of the drug force ca
used by the wall presence, the Saffman and the Magus lift forces et al
., is studied. Using the spectral method, analytical expression relati
ng to the Lagrangian power spectra of particle velocity to that of the
fluid are developed and the results are used to evaluate various resp
onses statistics. In this paper, the results clearly show that the tur
bulent diffusivity of the particle may be larger than that of the flui
d for a period of long-time.