Modeling granular material segregation using a combined finite element method and advection–diffusion–segregation equation model

• Published in: Powder technology 2019-03, Vol.346, p.38-48
• Main Authors: Liu, Yu, Gonzalez, Marcial, Wassgren, Carl
• Format: Article
• Language: English
• Subjects: Advection; Binary mixtures; Computer simulation; Diffusion; Finite element analysis; Finite element method; Granular material; Granular materials; Hoppers; Mathematical analysis; Mathematical models; Model accuracy; Multi-scale model; Multiscale analysis; Percolation; Rotating matter; Rotation; Segregation; Two dimensional models; Velocity distribution
• ISSN: 0032-5910; 1873-328X
• DOI: 10.1016/j.powtec.2019.01.086

A two-dimensional, transient, multi-scale modeling approach is presented for predicting the magnitude and rate of percolation segregation for binary mixtures of granular material in a rotating drum and conical hopper. The model utilizes finite element method simulations to determine the bulk-level granular velocity field, which is then combined with particle-level diffusion and segregation correlations using the advection-diffusion-segregation equation. The utility of this modeling approach is demonstrated by predicting segregation patterns in a rotating drum and during the discharge of conical hoppers with different geometries. The model exhibits good quantitative accuracy in predicting DEM and experimental segregation data reported in the literature for cohesionless granular materials. Moreover, since the numerical approach does not directly model individual particles, it is expected to scale well to systems of industrial scale. [Display omitted] •A model is presented for predicting segregation in a rotating drum and hoppers.•Predictions of the segregation rate from the model compare well to published data.•The model is expected to be more efficient than DEM at industrial scales.•Parameters in the model can be measured from independent, standard tests.