Crucial role of sidewalls in granular surface flows: consequences for the rheology

By P. Jop, Yoël Forterre, Olivier Pouliquen. Journal of Fluid Mechanics, 2005

520 citations recorded by the source corpus.

In this paper we study the steady uniform flows that develop when granular material is released from a hopper on top of a static pile in a channel. More specifically, we focus on the role of sidewalls by carrying out experiments in set-up of different widths, from narrow channels 20 particle diameters wide to channels 600 particle diameters wide. Results show that steady flows on pile are entirely controlled by sidewall effects. A theoretical model, taking into account the wall friction and based on a simple local constitutive law recently proposed for other granular flow configurations, gives predictions in quantitative agreement with the measurements. This result gives new insights into our understanding of free-surface granular flows and strongly supports the relevance of the constitutive law proposed.

Subfields: Civil and Structural Engineering, Computational Mechanics, Ocean Engineering

View Paper: https://www.semanticscholar.org/paper/561317bc945307f081651c8c1470a5cea8f68ff3

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Citations in the corpus

A predictive, size-dependent continuum model for dense granular flows (2013, methodology): “The local relation parameters for glass beads are taken from existing simple shear data (48): μs = 0.”
The granular column collapse as a continuum: validity of a two-dimensional Navier–Stokes model with a μ(I)-rheology (2011, methodology): “…was proposed as a possible fit to account for the shape of the dependence (Jop et al. 2005, 2006): µ(I)= µs + 1µI0/I + 1 , (2.3) where the values of the coefficients µs, 1µ and I0 are material-dependent; indicative values for glass beads are µs = 0.38, 1µ = 0.26 and I0 = 0.279 (Jop et al. 2005).”
Dense inclined flows of inelastic spheres: tests of an extension of kinetic theory (2010, background): “[15] on dense, inclined flows over an erodible bed between frictional sidewalls.”
Fundamental changes of granular flow dynamics, deposition, and erosion processes at high slope angles: Insights from laboratory experiments (2014, background): “…kinetic energy of the ﬂowing mass [ Mangeney et al. , 2007a]; (iv) enlarging the channel width which reduces the eﬀective friction due to the walls [ Jop et al. , 2005]; or (v) increasing the angle of the gate inclination with respect to the slope that gives a higher initial driving force due to…”
The Physics of Sediment Transport Initiation, Cessation, and Entrainment Across Aeolian and Fluvial Environments (2020, methodology): “Experimental measurements of rapid, dense flow in several geometries show good agreement with the local rheology [MiDi, 2004; Jop et al., 2005, 2006].”
Flows of Dense Granular Media (2008, background): “The thickness of the flowing layer then scales with the distance between the lateral walls ( Jop et al. 2005).”
Segregation, recirculation and deposition of coarse particles near two-dimensional avalanche fronts (2009, background): “…treating the basal friction μ as a volume fraction weighted average of the friction associated with each of the pure phases (e.g. Pouliquen & Vallance 1999), and wall friction effects (e.g. Taberlet et al. 2003, 2004; Jop et al. 2005, 2006; Jesuthasan et al. 2006; Savage 2008) could also be added.”