Abstract

A shear viscosity model for the underfill flow is proposed based on slug flow, which is appropriate in the case of neutrally buoyant particles. However, the filling particles used in practice are often heavier than the liquid carriers. The effect of non-neutrally buoyant particles is investigated in this work. The flow of dense slurry in which the filling particles are heavier than the liquid carrier is analyzed by considering the particle-particle and particle-wall interactions, which are derived from fluid film lubrication theory. The effect of settlement causes the flow behavior to depart from that of slug flow. Nevertheless, steady flow is still found possible, and, for a few representative packing patterns considered, somewhat modified flow patterns exist.

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