Central difference solutions of the kinematic model of settling of polydispersee suspensions and three-dimensional particle-scale simulations

摘要

The extension of Kynch's kinematic theory of sedimentation of monodisperse suspensions to poly- disperse mixtures leads to a nonliner system of conservation laws for he volume fractions of each species. In this paper, we show that a second-order central (Riemann-solver-free) scheme for the solution of systems of Conservation laws can be employed as an efficient tool for the simulation f the settling and the separation of Polydisperse suspensions. This is demonstrated by comparison with a published experimental study of the settling Of a bidisperse suspension. In addition, we compare the prediction of the one-dimensional kinematic sedimentation Model with a three-dimensional particle-scale simulation.