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When submillimetric particles are confined in a fluid such that a compactcluster of particles lie above the clear fluid, particles will detach from thelower boundary of the cluster and form an unstable separation front giving riseto growing fingers of falling particles. We study this problem using bothexperiments and hybrid granular/fluid mechanics models. In the case ofparticles from 50 to 500 microns in diameter falling in air, we study thehorizontal density fluctuations at early times: the amplitude of the densitydifference between two points at a certain horizontal distance grows as a powerlaw of time. This happens up to a saturation corresponding to a power law ofthe distance. The way in which the correlation length builds up to thissaturation also follows a power law of time. We show that these decompactionfronts in sedimentation problems follow a Family-Vicsek scaling, characterizethe dynamic and Hurst exponent of the lateral density fluctuations,respectively z \sim 1 and \zeta \sim 0.75, and show how the prefactors dependon the grain diameter. We also show from similar simulations with a moreviscous and incompressible fluid, that this feature is independent of the fluidcompressibility or viscosity, ranging from air to water/glycerol mixtures.

Family-Vicsek scaling of detachment fronts in Granular Rayleigh Taylor Instabilities during sedimenting granular/fluid flows