DISTRIBUTION OF THE DISPERSED PHASE IN A PLANE HORIZONTAL CHANNEL IN LAMINAR MOTION OF A LOW-CONCENTRATION SUSPENSION

The author has formulated the problem of gravity stratifi cation and formation of a sediment of a hydrodynamically low-concentration monodisperse suspension of solid particles not involved in Brownian diffusion and moving in a horizontal plane channel during the laminar fl ow of a Newtonian dispersed phase. A solution to the initial boundary-value problem for fi rst-order partial differential equations has been obtained in analytical form by applying the one-sided integral Laplace transformation with respect to the axial coordinate. Using the principle of superposition of concentration fi elds of the fractions, the solution has been generalized to the case of a polydisperse suspension with an arbitrary particle-size-distribution density function. An estimate for the accuracy of physical linearization on replacement of the laminar fl ow of the carrier medium by an ideal-displacement regime has been given. A comparative analysis of computational experiments with classical experimental data for a wide range of the sedimentation Reynolds number has shown the correctness of the proposed approach.
   
Author:  A. V. Ryazhskikh
Keywords:  concentration fi eld, suspension, laminar fl ow, plane channel
Page:  1324