Abstract

The outflow characteristics of hard grains from containers with narrow basal openings have been extensively studied. Recently, it was shown that soft, low-frictional grains can behave qualitatively different from the behavior of rigid grains. We compare experimentally the discharge of monodisperse hard spheres, soft spheres and mixtures of both from a quasi-two dimensional (2D) silo. The experiments demonstrate the remarkable consequences of the addition of few hard particles to a soft particle ensemble, as well as the gradual transition between the two limiting cases of pure one-component materials.

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  • © The Authors, published by EDP Sciences

  • an open access article distributed under the terms of the Creative Commons Attribution License 4.0

  • ❈♦♥tr❛r2 t♦ ❤❛r❞✱ ❢r✐❝t✐♦♥❛❧ s♣❤❡r❡s ✐♥ ✷❉ s✐❧♦s✱ s♦❢t s❧✐♣♣❡r2 ❣r❛✐♥s ❛♥❞ ♠✐1t✉r❡s ❝♦♥t❛✐♥✐♥❣ t❤❡♠ s❤♦✇ ♥♦♥✲♣❡r♠❛♥❡♥t ❝♦♥❣❡st✐♦♥s ✇❤✐❝❤ s♣♦♥t❛♥❡♦✉s❧2 ❞✐s✲ s♦❧✈❡ ❛❢t❡r s♦♠❡ t✐♠❡ ❬✾❪✳ ❙♣♦♥t❛♥❡♦✉s ✉♥❝❧♦❣❣✐♥❣ ♦❝❝✉rs ❞✉❡ t♦ ❣❧♦❜❛❧ r❡❛rr❛♥❣❡♠❡♥ts ✐♥ t❤❡ ♣❛❝❦✐♥❣ ✇❤✐❧❡ t❤❡ ♦r✐✜❝❡ ✐s ❜❧♦❝❦❡❞✿ ❚❤❡ ♣❛❝❦✐♥❣ str✉❝t✉r❡ ❝♦♠♣❛❝ts✱ ❝❛✉s✐♥❣ ✐♥❝r❡❛s✐♥❣ ❡❧❛st✐❝ ❞❡❢♦r♠❛t✐♦♥s ♦❢ s♦❢t ❣r❛✐♥s ❛t t❤❡ ❜♦tt♦♠ ♦❢ t❤❡ ❝♦♥t❛✐♥❡r✳ ❚❤✐s ❧❡❛❞s ✜♥❛❧❧2 t♦ t❤❡ ❜r❡❛❦❛❣❡ ♦❢ ❜❧♦❝❦✐♥❣ ❛r❝❤❡s ❛t t❤❡ ♦r✐✲ ✜❝❡✳ ❲✐t❤ ♣✉r❡ ❍●❙✱ ♣❡r♠❛♥❡♥t ❝❧♦❣s ♦❝❝✉r ♦♥❧2 ❛t s♠❛❧❧ ✜❧❧ ❤❡✐❣❤ts✱ ♦r s♠❛❧❧ ♦r✐✜❝❡ r❛t✐♦s ✭ρ < 2✮✳ ❋♦r ♠✐1t✉r❡s ✇✐t❤ ✉♣ t♦ ✶✵✪ ❆❙❇✱ ✐t ✇❛s s❤♦✇♥ t❤❛t ♣❡r✲ ♠❛♥❡♥t ❝❧♦❣s ❛r❡ s✐❣♥✐✜❝❛♥t❧2 ♠♦r❡ ❢r❡q✉❡♥t ❬✶✶❪✳ ■♥ t❤❡s❡ st✉❞✐❡s✱ ❝❧♦❣s ✇❡r❡ ❛♥❛❧23❡❞ ❢♦r ρ ≈ 2✳ ▼♦st ♦❢ t❤❡♠ ❝♦♥s✐st❡❞ ♦❢ ❢♦✉r s♣❤❡r❡s ✭❋✐❣✳ ✶✮ ❛♥❞ t❤❡2 ❝♦♥t❛✐♥❡❞ ❛❜♦✉t t✇✐❝❡ ❛s ♠❛♥2 ❤❛r❞ ❣r❛✐♥s t❤❛♥ st❛✲ t✐st✐❝❛❧❧2 ❡1♣❡❝t❡❞ ❢r♦♠ t❤❡ ♠✐1t✉r❡ r❛t✐♦✳

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