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Depth-integrated equations for entraining granular flows in narrow channels

Published online by Cambridge University Press:  30 January 2015

H. Capart ,
C.-Y. Hung  and
C. P. Stark
H. Capart*
Affiliation:
Department of Civil Engineering and Hydrotech Research Institute, National Taiwan University, Taipei 106, Taiwan
C.-Y. Hung
Affiliation:
Department of Civil Engineering and Hydrotech Research Institute, National Taiwan University, Taipei 106, Taiwan Lamont-Doherty Earth Observatory of Columbia University, Palisades, New York, USA
C. P. Stark
Affiliation:
Lamont-Doherty Earth Observatory of Columbia University, Palisades, New York, USA
*
†Email address for correspondence: hcapart@yahoo.com
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Abstract

Flowing over erodible beds, channelized granular avalanches can alter their volume by entraining or detraining basal grains. In detail, entrainment results from a gradual adjustment of stress and velocity profiles over depth, bringing bed material past yield (and vice versa for detrainment). To capture this process, we propose new depth-integrated equations that balance kinetic energy in addition to mass and momentum. The equations require a local granular rheology, assumed viscoplastic, but no extra erosion law. Entrainment rates are instead deduced from the depth-integrated layer dynamics. To check the approach, we obtain solutions for non-equilibrium heap flows, and compare them with experiments conducted in a seesaw channel.

JFM classification

Waves/Free-surface Flows: Channel flow Granular media: Granular media
Type
Rapids
Information
Journal of Fluid Mechanics , Volume 765 , 25 February 2015 , R4
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Copyright
© 2015 Cambridge University Press 

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