Abstract
Mixing granular particles of di erent sizes is a common way of increasing the packing fraction. Recently, a model predicting the packing fraction, taking into account the inhomogeneity of the mixed small and large particles, has been proposed by S. Pillitteri et al. Under certain conditions, this model can be simpli ed and analytical solutions can be found. We present here these solutions, compared to experimental data, and the physical interpretation they can bring.
Highlights
Granular binary mixtures are widely studied because of the large panel of properties observed in such systems [18]
The parameter p corresponds to the proportion of unmixed small particles which are placed at the bottom of the granular pile while b represents the proportion of unmixed large particles which are placed at the top of the pile
We investigated the impact of partial segregation on packing fraction
Summary
Granular binary mixtures are widely studied because of the large panel of properties observed in such systems [18]. Depending on the relative composition of both species, the packing fraction can be strongly dierent. In such systems, the control parameters are the volume fraction of small particles [8] dened as f = Vs , (1). Vs + Vl where Vs and Vl are respectively the true volume of small and large particles in the mixture, and the size ratio α = Rl , (2). During mixing or other manipulations, segregation often occurs and leads to inhomogeneous mixtures. This inhomogeneity is known to decrease the packing fraction [9, 10]
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