CONVECTIVE-DIFFUSION MODEL OF TRANSFER OF A SEDIMENTING LOW-CONCENTRATION POLYDISPERSE SUSPENSION OF STOKESIAN PARTICLES IN A PLANE CHANNEL. PART I

The authors have developed a convective-diffusion model of sedimentation of solid Stokesian particles from a dispersed phase moving in an ideal-mixing regime in a plane channel as the initial boundary-value problem for the particle size function, whose solution was obtained in analytical form. The mixing coefficient has been found from the hydrodynamic analogy with turbulent viscosity, and the kinetic coeffi cients of settling on "wetted" surfaces have been determined on condition that the particles near the walls lose the convective velocity component but preserve the Brownian and Stokesian components. The obtained calculation results are consistent with the universally accepted ideas of separation of the solid phase of suspensions from flows on the settling surface.
   
Author:  A. V. Ryazhskikh, A. A. Boger, M. I. Slyusarev, and V. I. Ryazhskikh
Keywords:  polydisperse suspension, convective-diffusion model, distribution function, sedimentation
Page:  10