Quantifying silo flow using MRI velocimetry for testing granular flow models

Type of content
Journal Article
Thesis discipline
Degree name
Publisher
American Physical Society (APS)
Journal Title
Journal ISSN
Volume Title
Language
en
Date
2019
Authors
Fullard L
Holland DJ
Galvosas P
Davies C
Lagrée PY
Popinet S
Abstract

© 2019 American Physical Society. In this work we present experimental results of the gravity-driven discharge of poppy seeds from three-dimensionally (3D) printed silos. The velocity fields of the flowing poppy seeds are measured using magnetic resonance imaging (MRI) velocimetry techniques. Crucially, this approach allows the velocity field to be determined throughout the flow domain, unlike visual techniques such as particle image velocimetry and related methods where only the flow at or near the wall is accessible. We perform the experiment three times; with 3D-printed silos of cone half angles 30° and 50°, respectively, and then repeat the 30° silo experiment but with a layer of poppy seeds glued to the silo wall to create a "rough wall" condition. In our experiments, we observe and quantify velocity fields for three well-known granular flow regimes; mass flow, funnel flow, and rat-holing. The results of the experiments are compared to equivalent output of numerical simulations. In this mathematical model, the well-known μ(I) friction law is used to define an effective granular viscosity, and the flow is solved using a standard Navier-Stokes type solver. While the results are generally encouraging, it is noted that some aspects of the model are lacking and should be improved; in particular, the rat-holing effect observed in one of the MRI experiments was not predicted by the model, nor was the exact volumetric flow rate from any of the silos. Suggestions for model improvement are discussed.

Description
Citation
Fullard L, Holland DJ, Galvosas P, Davies C, Lagrée PY, Popinet S (2019). Quantifying silo flow using MRI velocimetry for testing granular flow models. Physical Review Fluids. 4(7).
Keywords
Ngā upoko tukutuku/Māori subject headings
ANZSRC fields of research
0102 Applied Mathematics
0203 Classical Physics
0913 Mechanical Engineering
Fields of Research::40 - Engineering::4012 - Fluid mechanics and thermal engineering::401211 - Multiphysics flows (incl. multiphase and reacting flows)
Fields of Research::51 - Physical sciences::5104 - Condensed matter physics::510405 - Soft condensed matter
Fields of Research::51 - Physical sciences::5104 - Condensed matter physics::510403 - Condensed matter modelling and density functional theory
Fields of Research::40 - Engineering::4099 - Other engineering::409903 - Granular mechanics
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