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Lift on side-by-side intruders within a granular flow

Published online by Cambridge University Press:  01 July 2016

R. A. López de la Cruz  and
G. A. Caballero-Robledo
R. A. López de la Cruz
Affiliation:
CINVESTAV-Monterrey, PIIT, Nuevo León, 66600, México
G. A. Caballero-Robledo*
Affiliation:
CINVESTAV-Monterrey, PIIT, Nuevo León, 66600, México
*
†Email address for correspondence: [email protected]
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Abstract

For the first time, we used computer simulations to study lift forces on two static disks placed side-by-side within a two-dimensional granular flow and found them to be either repulsive or attractive depending on the flow velocity and separation between the disks. Our simulations results reveal that differences in the flow velocity between the disks and outside of that region are closely correlated with the lift force. We propose an empirical function for the lift force based on this correlation and our dimensional analysis. The specific region where the measured velocity exhibits this correlation suggests that attractive lift is not a Bernoulli-like effect. Instead, we speculate that it might be explained by a force balance based on Coulomb’s theory of passive failure in a Mohr–Coulomb material. Our results confirm that repulsive lift is due to the jamming of particles flowing between the disks.

JFM classification

Complex Fluids: Complex Fluids Granular media: Granular media Mixing: Granular mixing
Type
Papers
Information
Journal of Fluid Mechanics , Volume 800 , 10 August 2016 , pp. 248 - 263
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Copyright
© 2016 Cambridge University Press 

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López de la Cruz Supplementary Movie 1

Movie showing the whole simulation cell during the first two seconds of simulation with the following parameters: v = 0.44 m/s, Xsep = 2.5 cm, D = 2.54 cm, d = 0.52 cm, # of particles = 8300. In this case, the average lift force is attractive.

Download López de la Cruz Supplementary Movie 1(Video)
Video 16.9 MB

López de la Cruz Supplementary Movie 2

Movie showing the whole simulation cell during the first two seconds of simulation with the following parameters: v = 0.6 m/s, Xsep = 2.5 cm, D = 2.54 cm, d = 0.52 cm, # of particles = 8300. In this case, the average lift force is almost zero.

Download López de la Cruz Supplementary Movie 2(Video)
Video 7.4 MB

López de la Cruz Supplementary Movie 3

Movie showing the whole simulation cell during the first two seconds of simulation with the following parameters: v = 1.1 m/s, Xsep = 2.5 cm, D = 2.54 cm, d = 0.52 cm, # of particles = 8300. In this case, the average lift force is repulsive.

Download López de la Cruz Supplementary Movie 3(Video)
Video 18.8 MB

López de la Cruz Supplementary Movie 4

Movie showing the region around the intruders during the first two seconds of simulation with the following parameters: v = 0.44 m/s, Xsep = 2.5 cm, D = 2.54 cm, d = 0.52 cm, # of particles = 8300. In this case, the average lift force is attractive.

Download López de la Cruz Supplementary Movie 4(Video)
Video 15.2 MB

López de la Cruz Supplementary Movie 5

Movie showing the region around the intruders during the first two seconds of simulation with the following parameters: v = 0.6 m/s, Xsep = 2.5 cm, D = 2.54 cm, d = 0.52 cm, # of particles = 8300. In this case, the average lift force is almost zero.

Download López de la Cruz Supplementary Movie 5(Video)
Video 15.4 MB

López de la Cruz Supplementary Movie 6

Movie showing the region around the intruders during the first two seconds of simulation with the following parameters: v = 1.1 m/s, Xsep = 2.5 cm, D = 2.54 cm, d = 0.52 cm, # of particles = 8300. In this case, the average lift force is repulsive.

Download López de la Cruz Supplementary Movie 6(Video)
Video 16.1 MB
Supplementary material: PDF

Lopez de la Cruz supplementary material

Supplementary figures

Download Lopez de la Cruz supplementary material(PDF)
PDF 564.6 KB