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Investigating the rheology of fluidized and non-fluidized gas-particle beds: implications for the dynamics of geophysical flows and substrate entrainment

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A Correction to this article was published on 29 April 2022

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Abstract

Natural geophysical mass flows are among the most complex granular systems and their dynamics are often modified by the presence of an interstitial fluid. Prediction of their runout requires the development of models estimating the solid stresses in these hazardous currents wherein excess pore-fluid pressure can develop. We use discrete element modelling (DEM-CFD) with a Coarse-Graining post-processing technique (CG) to investigate the rheology of unsteady gas-particle fluidized to non-fluidized granular beds placed on horizontal and inclined planes. Similar to fluidized beds immersed in viscous fluids, the effective friction coefficient of air-fluidized beds can be defined as a function of the classic μ(I)-rheology and the non-dimensional fluid or solid pressure to explain the failure and dynamics of granular flows with excess pore pressure on inclines. However, dilation imposed by fluid drag and particle collisions in gas-particle fluidized beds can drastically change its effective frictional properties. In contrast with the common assumption in water-particle flows that granular temperature is negligible, in our gas-particle simulations, the contribution of the velocity fluctuations to the stress tensor is significant. Hence, the shear stress is found to be non-zero even when the flow is fully fluidized in the inertial regime. These results suggest the need to better understand velocity fluctuations to predict the effective viscosity of sheared fluidized mixtures and are relevant for many applications. Notably, a unified approach is useful for many geophysical flows that encompass a range of fluidization conditions in a single flow such as pyroclastic density currents and snow avalanches.

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Acknowledgements

Financial support was provided by the National Science Foundation (EAR 1852569 and EAR 1650382) and MCIU/AEI/FEDER, UE (Grant No. PGC2018 336 097842-B-I00). The research of LF was supported by the Royal Society of New Zealand (MAU1712). The research of MT was supported by La Caixa. The data supporting the conclusions are shown in the figures and tables presented. Interested readers will find additional data in the supporting information. On request the authors can also provide more specific results obtained from the experimental and numerical studies used to produce the figures.

ECPB thanks F. Bouchut and M. Yang for useful discussions.

Author information

Author notes

  1. Luke Fullard and Josef Dufek: these authors have contributed equally to this work.

Authors and Affiliations

  1. Department of Earth Sciences, University of Oregon, Eugene, USA

    Eric C. P. Breard & Josef Dufek

  2. School of Food and Advanced Technology, Massey University, Palmerston North, New Zealand

    Luke Fullard

  3. Department of Condensed Matter Physics, University of Barcelona, 08028, Barcelona, Spain

    Michael Tennenbaum & Alberto Fernandez Nieves

  4. ICREA-Instituci Catalana de Recerca I Estudis Avanats, 08010, Barcelona, Spain

    Michael Tennenbaum & Alberto Fernandez Nieves

  5. National Energy Technology Laboratory, U.S. Department of Energy, Morgantown, WV, USA

    Jean François Dietiker

  6. Leidos Research Support Team, Pittsburgh, PA, 15236-0940, USA

    Jean François Dietiker

Authors
  1. Eric C. P. Breard
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  2. Luke Fullard
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  3. Josef Dufek
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  4. Michael Tennenbaum
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  5. Alberto Fernandez Nieves
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  6. Jean François Dietiker
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Corresponding author

Correspondence to Eric C. P. Breard.

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The code used to produce the CFD is publicly available at https://mfix.netl.doe.gov.

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The original online version of this article was revised due to change in given and family names of all authors.

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Breard, E.C.P., Fullard, L., Dufek, J. et al. Investigating the rheology of fluidized and non-fluidized gas-particle beds: implications for the dynamics of geophysical flows and substrate entrainment. Granular Matter 24, 34 (2022). https://doi.org/10.1007/s10035-021-01192-5

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  • DOI: https://doi.org/10.1007/s10035-021-01192-5

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