Effective boundary conditions for dense granular flows
arXiv:0803.3890 · doi:10.1103/PhysRevE.79.031304
Abstract
We derive an effective boundary condition for granular flow taking into account the effect of the heterogeneity of the force network on sliding friction dynamics. This yields an intermediate boundary condition which lies in the limit between no-slip and Coulomb friction; two simple functions relating wall stress, velocity, and velocity variance are found from numerical simulations. Moreover, we show that this effective boundary condition corresponds to Navier slip condition when GDR MiDi's model is assumed to be valid, and that the slip length depends on the length scale that characterises the system, \emph{viz} the particle diameter.
4 pages, 5 figures
References in corpus (10)
- On dense granular flows
- A constitutive law for dense granular flows
- Rheophysics of dense granular materials : Discrete simulation of plane shear flows
- Force Distribution in a Granular Medium
- Crucial role of side walls for granular surface flows: consequences for the rheology
- Time-Resolved Studies of Stick-Slip Friction in Sheared Granular Layers
- Large Force Fluctuations in a Flowing Granular Medium
- Brownian forces in sheared granular matter
- On velocity profiles, stresses and Bagnold scaling of sheared granular system in zero gravity
- Shear bands in granular flow through a mixing length model
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- Erosion dynamics of a wet granular medium
- Tensor Electromagnetism and Emergent Elasticity in Jammed Solids
- MRI investigation of granular interface rheology using a new cylinder shear apparatus