Cellular automata model of repose angle formation of a binary granular mixture

Authors

Rene C. Batac ⋅ PH National Institute of Physics, University of the Philippines Diliman
Marissa G. Pastor ⋅ PH National Institute of Physics, University of the Philippines Diliman
Marko E. Arciaga ⋅ PH National Institute of Physics, University of the Philippines Diliman
Johnrob Y. Bantang ⋅ PH National Institute of Physics, University of the Philippines Diliman
Christopher P. Monterola ⋅ PH National Institute of Physics, University of the Philippines Diliman

Abstract

We report a simple cellular automaton (CA) whose evolution rule correctly emulates the observed trend in the angle of repose θ as a function of relative concentration γ in a binary mixture. For mixtures of materials having large difference in granule sizes, we confirm the existence of regions in γ wherein the mixture repose angle θ_mix is greater than the either of the component repose angles, θ_mix > {θ₁, θ₂} as reported experimentally. We attribute the stability to the filling in of the smaller particles of the voids left by the random arrangement of the larger particles. Aside from good correlation with experimental results, we also report granular characteristics successfully captured by our model: (1) the kinks and logarithmic tails on the top of the heap; and (2) the existence of vertical slopes, previously unexplained in terms of the Mohr-Coulomb criterion.

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Issue

2007: Proceedings of the 25th Samahang Pisika ng Pilipinas Physics Congress

Article ID

SPP-2007-3F-02

Section

Complex Systems

Published

2007-10-24

How to Cite

[1]

RC Batac, MG Pastor, ME Arciaga, JY Bantang, and CP Monterola, Cellular automata model of repose angle formation of a binary granular mixture, Proceedings of the Samahang Pisika ng Pilipinas 25, SPP-2007-3F-02 (2007). URL: https://proceedings.spp-online.org/article/view/SPP-2007-3F-02.