Modelling the wall friction coefficient for a simple shear granular flow in view of the degradation mechanism - Université Gustave Eiffel Access content directly
Journal Articles Journal of Fluid Mechanics Year : 2023

Modelling the wall friction coefficient for a simple shear granular flow in view of the degradation mechanism

Abstract

A steady granular flow experiment was performed in a confined annular shear cell to examine how the wall friction coefficient $\mu _w$ degrades from the intrinsic sliding friction coefficient $f$ between the grains and the container wall. Two existing models are invoked to examine the decay trend of $\mu _w/f$ in view of the ratio of shear velocity to the square root of granular temperature $\chi$ (Artoni & Richard, Phys. Rev. Lett., vol. 115, 2015, 158001) and the ratio of grain angular and slip velocities $\varOmega$ (Yang & Huang, Granul. Matt., vol. 18, issue 4, 2016, p. 77), respectively. As both models correlate $\mu _w/f$ to different flow properties, a hidden relation is speculated between $\chi$ and $\varOmega$ , or equivalently, between the granular temperature and the grain rotation speed. We used experiment data to confirm and reveal this hidden relation. From there, a unified $\mu _w/f-\chi$ model is proposed with physical meanings for the model coefficients and to show general agreement with the measured trend. Hence we may conclude that both the fluctuations in grain translations and their mean rotation are the crucial yet equivalent mechanisms to degrade $\mu _w/f$ .

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dry granular material

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Physics [physics]
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Riccardo Artoni  : Connect in order to contact the contributor

https://univ-eiffel.hal.science/hal-04350124

Submitted on : Wednesday, December 20, 2023-1:49:45 PM

Last modification on : Tuesday, May 21, 2024-8:52:11 AM

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hal-04350124 , version 1 (20-12-2023)

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Cheng-Chuan Lin, Riccardo Artoni, Fu-Ling Yang, Patrick Richard. Modelling the wall friction coefficient for a simple shear granular flow in view of the degradation mechanism. Journal of Fluid Mechanics, 2023, 969, ⟨10.1017/jfm.2023.556⟩. ⟨hal-04350124⟩

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