Constant Flux Particle-laden Viscous Thin Film Flows on an Incline

Abstract

We study the behaviour of particle-laden thin-films down an incline. Previous research focused on the finite volume case, whereas we consider the constant flow case with the aid of a pump. We model the problem as a Riemann problem. Experiments are done to obtain height profiles, front positions, surface velocities and observe different regimes. The model gives qualitative predictions of the separation of regimes and the linear dependence on time of the front positions. One important observation is that the timescales for the regimes to occur are longer than the finite volume case.

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