Comparison of empirical and particle force-based density segregation models

The empirical and particle force-based models of granular segregation due to density differences among the species are compared in this work. Dependency of the empirical segregation parameters on the initial configuration, the observation time duration, inclination angle, and mixture composition are discussed in detail. The parameters obtained from empirical models are used to predict the steady-state concentration profiles for different density ratios and compositions. In addition, we utilize the predictions from the particle force-based segregation model and compare them with the predictions of the empirical segregation models. Our results show that the linear empirical segregation model predictions agree well with the simulation results for mixtures rich in light species where as quadratic empirical segregation model works better for mixtures rich in heavy species. Particle force-based segregation model, on the other hand, seems to be in very good agreement with the DEM simulation data across all mixture compositions.Comment: 20 pages, 15 figure