期刊
JOURNAL OF FLUID MECHANICS
卷 717, 期 -, 页码 203-231出版社
CAMBRIDGE UNIV PRESS
DOI: 10.1017/jfm.2012.567
关键词
interfacial flows (free surface); multiphase and particle-laden flows; thin films
资金
- NSF grant [DMS-1048840]
- UC Lab Fees Research Grant [09-LR-04-116741-BERA]
- DFG MATHEON [C10]
We develop a dynamic model for suspensions of negatively buoyant particles on an incline. Our model includes settling due to gravity and resuspension of particles by shear-induced migration. We consider the case where the particles settle onto the solid substrate and two distinct fronts form: a faster liquid and a slower particle front. The resulting transport equations for the liquid and the particles are of hyperbolic type and we study the dilute limit for which we compute exact solutions. We also carry out systematic laboratory experiments, focusing on the motion of the two fronts. We show that the dynamic model predictions for small to moderate values of the particle volume fraction and the inclination angle of the solid substrate agree well with the experimental data.
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