Velocity scaling in the region of orifice influence in silo draining under gravity
arXiv:2002.05370 · doi:10.1103/PhysRevE.102.042904
Abstract
This study utilizes computations based on soft-particle discrete element method for investigating the scaling of velocity in a two-dimensional silo draining under gravity. We focus on the region situated directly above and in proximity to the outlet, referred to as the region of orifice influence (ROI). The velocity at the exit scales with the outlet size, in agreement with previous studies. The velocity in the ROI upstream of the outlet, however, does not collapse to a single curve when scaled with the outlet size. We show that the height of an curve, which is defined to be a curve on which the inertial number is constant, can be employed for scaling the velocity in the ROI. The velocity corresponding to an equi-inertial curve, when measured relative to the outlet velocity, is considered for scaling. Results show that the scaling holds very well for low inertial number corresponding to the dense flow regime, whereas it breaks down for high inertial number region.
arXiv comment10 pages, 12 figures. Submitted for review
References in corpus (11)
- On dense granular flows
- A constitutive law for dense granular flows
- Rheophysics of dense granular materials : Discrete simulation of plane shear flows
- The granular silo as a continuum plastic flow: the hour-glass vs the clepsydra
- Velocity profile of granular flows inside silos and hoppers
- Pressure and Motion of Dry Sand -- Translation of Hagen's Paper from 1852
- Pressure independence of granular flow through an aperture
- Average balance equations, scale dependence, and energy cascade for granular materials
- Analysis of granular rheology in a quasi-two-dimensional slow flow by means of discrete element method based simulations
- Rheology of dense granular flows in two dimensions: Comparison of fully two-dimensional flows to unidirectional shear flow
- Velocity profiles in forced silo discharges