Shear-induced migration in concentrated suspensions: Particle mass conservation, contact pressure and jamming

A two-velocity fluid model is presented to describe particle migration in mono-disperse suspensions of neutrally buoyant particles. In contrast previous models, the proposed formulation allows us impose explicit boundary conditions on velocity, and thereby satisfy strict mass conservation for phase. addition, upper bound volume fraction (jamming limit) strictly enforced through a non-smooth complementarity condition introduction jamming pressure. The applied an axisymmetric Poiseuille flow solved using finite-element method. For that purpose, specific, fully implicit algorithm based optimisation tools developed validated. Preliminary comparisons with experimental data from literature show promising agreement. particular, properly captures formation inner plug region, which suspension saturated jammed.