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The flow rate of granular materials through an orifice

2007/07/31 by C. Mankoc, Álvaro Janda, A. Janda +17 · 2 citations
Engineering · Physics and Astronomy · #Fluid Dynamics Simulations and Interactions #Geotechnical Engineering and Underground Structures #Granular flow and fluidized beds #cond-mat.soft #cond-mat.stat-mech

paper · pdf · doi:10.48550/arxiv.0707.4550

submitted to Granular Matter

arxiv created 2007/07/31 · arxiv updated 2009/12/01

Abstract

The flow rate of grains through large orifices is known to be dependent on its diameter to a 5/2 power law. This relationship has been checked for big outlet sizes, whereas an empirical fitting parameter is needed to reproduce the behavior for small openings. In this work, we provide experimental data and numerical simulations covering a wide span of outlet sizes, both in three and two dimensions. This allows us to show that the laws that are usually employed are satisfactory only if a small range of openings is considered. We propose a new law for the mass flow rate of grains that correctly reproduces the data for all the orifice sizes, including the behaviors for very large and very small outlet sizes.

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