Capturing the dynamics of a two orifice silo with the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si57.svg"><mml:mrow><mml:mi>μ</mml:mi><mml:mo stretchy="true">(</mml:mo><mml:mi>I</mml:mi><mml:mo stretchy="true">)</mml:mo></mml:mrow></mml:math> model and extensions - Sorbonne Université Access content directly
Journal Articles Advanced Powder Technology Year : 2023

Capturing the dynamics of a two orifice silo with the μ(I) model and extensions

Abstract

Granular material in a silo with two openings can display a 'flow rate dip', where a non-monotonic relationship between flow rate and orifice separation occurs. In this paper we study continuum modelling of the silo with two openings. We find that the l I ð Þ rheology can capture the flow rate dip if physically relevant friction parameters are used. We also extend the model by accounting for wall friction, dilatancy, and non-local effects. We find that accounting for the wall friction using a Hele-Shaw model better replicates the qualitative characteristics of the flow rate dip seen in experimental data, while dilatancy and non-local effects have very little effect on the qualitative characteristics of the mass flow rate dip. However, we find that all three of these factors have a significant impact on the mass flow rate, indicating that a continuum model which accurately predicts flow rate will need to account for these effects.
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Dates and versions

hal-04217086 , version 1 (11-12-2023)

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Samuel K Irvine, Luke A Fullard, Daniel J Holland, Daniel A Clarke, Thomasin A Lynch, et al.. Capturing the dynamics of a two orifice silo with the μ(I) model and extensions. Advanced Powder Technology, 2023, 34, ⟨10.1016/j.apt.2023.104044⟩. ⟨hal-04217086⟩
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