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A novel approach to study of the shear-induced diffusion of particles in suspensions with continuous particle size distribution is suggested. It addresses the migration of local moments of the size distribution. Particle size distribution at each point is consequently obtained from the resulting moments, by solving inverse problems locally. For a particular example of stationary flow in a circular tube, we present results that include concentration inhomogeneity, moments' distributions and the consequent local continuous particle size distributions. The similarity and difference from cases of monodispersed suspensions are discussed.
Lavrenteva et al. (Tue,) studied this question.