In this study, we analyze the filter cake formed due to mono and bi-dispersed spherical particles. The particle-particle, particle-filter interactions are simulated using Discrete Element Method (DEM) and the fluid flow is simulated using Finite Volume Method (FVM). The computation of the two-way particle-fluid interaction is the challenging part in the numerical studies mainly due to the calculation of the drag force. The fluid drag force in this study is calculated by using the poly-dispersed drag model suggested by Beetstra (2005). The numerically predicted void fraction of the filter cake formed due to the mono and the bi-dispersed particles is compared with the sedimentation experiments in the literature. We then analyze the effect of factors affecting the filter cake formation i.e. the particle-particle interaction parameters (the coefficients of the sliding and the rolling friction, the surface energy) and the poly-dispersity (the particle mass fraction ratio).
We observed that, in general with the increase of the coefficient of sliding and rolling the predicted void fraction increases. Further neglecting the attractive forces between the particles under predicts the void fraction. At sufficiently higher particle Reynolds number the filter cake formed due to the mono and the bi-dispersed particles undergoes consolidation. At a constant Reynolds number pressure drop across a filter cake formed due to bi-dispersed particles increase with the increase in the mass fraction of the bigger particles.
Beetstra, R. (2005). Drag force in random arrays of mono and bidisperse sphers PhD thesis. Enschede: TU Twente.
Kloss, C. (2016). LIGGGHTS(R)-PUBLIC Documentation, Version 3.X. Linz: DCS Computing Gmbh. Retrieved from http://www.cfdem.com/media/DEM/docu/Manual.html
Onoda, G., & Liniger, E. G. (1990). Random loose packings of uniform spheres and the dilatancy onset. Physics review letters, 2727-2730.
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