Modeling Granular Segregation during Hopper Discharge Via Discrete Element Methods
William R. Ketterhagen, School of Chemical Engineering, Purdue University, 480 Stadium Mall Drive, West Lafayette, IN 47906, Jennifer S. Curtis, University of Florida, Chemical Engineering Department, P.O. Box 116005, Gainesville, FL 32611-6005 and Carl R. Wassgren, Mechanical Engineering, Purdue University, 585 Purdue Mall, West Lafayette, IN 47907-2088

Granular materials containing particles of various sizes, shapes, and densities are present across a wide variety of industries including those handling pharmaceuticals, food and agricultural products, and chemicals. Differences in these particle properties may lead to segregation of the material upon transport or other handling. The flow of granular material within a hopper is one such process that may induce segregation. This segregation is problematic in that product quality is usually dependent on maintaining homogeneity of the blend.

The present work aims to investigate the causes and extent of segregation of granular materials during discharge from a hopper using the discrete element method (DEM). The granular material is modeled as bidisperse, frictional, inelastic spheres, and interstitial fluid effects are neglected. A soft-particle contact model is implemented using the hysteretic spring model of Walton and Braun [J. Rheol. 30, 949 (1986)] to model the normal forces, and Coulombic friction to model the tangential forces. The computational model has been previously validated through direct comparison with an experimental system of bidisperse glass beads.

This work investigates hopper flow segregation as a function of particle properties such as diameter ratio, mass fraction of fines, and coefficients of friction, as well as hopper geometries such as hopper wall angle and fill height. Preliminary results indicate that the extent of segregation increases with increasing particle diameter ratio and/or decreasing mass fraction of the small species. Additionally, segregation becomes more prevalent as the hopper wall angle increases with respect to vertical.

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Poly-Dispersed Granular Systems II: Mixing, Blending and Segregation

The Preliminary Program for 2006 Spring National Meeting