Granular segregation in circular tumblers: theoretical model and scaling laws

摘要: We model bidisperse size segregation of granular material in quasi-two-dimensional circular tumbler flow using the advection–diffusion transport equation with an additional term to account for due percolation. Segregation depends on three dimensionless parameters: ratio advection, ${\it\Lambda}$ ; advection diffusion, $\mathit{Pe}$ and flowing layer depth, ${\it\epsilon}$ . The degree steady state only effects diffusion effects, ${\it\Lambda}\,\mathit{Pe}$ , increases as ${\it\Lambda}\mathit{Pe}$ increases. transient time reach steady-state which is manifested when constant. This also applied unsteady flow, where rotation speed varies time.