Kavli Affiliate: Li Xin Li
| First 5 Authors: Changhao Li, Xin Li, Xianggui Chen, Zaixin Wang, Min Sun
| Summary:
The influence of hopper width on the dense granular flow in a two-dimensional
hopper is investigated by experiments and simulations. The flow rate remains
constant for larger hopper width, while a slight decrease of hopper width
results in a significant increase in the flow rate for smaller hopper width.
Both Beverloo’s and Janda’s formula are found to describe relation between the
flow rate and outlet size well. The flow properties exhibit a local
self$-$similarity supporting the arguments of the Beverloo’s and Janda’s
hypotheses. Importantly, global self$-$similarity is observed, indicating a
flow state transition between the mass flow in the regions far form the outlet
and the funnel flow in the regions around the outlet. A reduction in silo width
leads to a significant increase of grain velocity and a decrease in the
transition height, resulting in an increase of flow rate. The results,
including flow rate, grain velocity, and transition height, can be described in
an exponential formula with respect to the silo width.
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