Chin. Phys. Lett.  2019, Vol. 36 Issue (2): 024501    DOI: 10.1088/0256-307X/36/2/024501
FUNDAMENTAL AREAS OF PHENOMENOLOGY(INCLUDING APPLICATIONS) |
Dynamical Study of Granular Flow through a Two-Dimensional Hopper
Lina Yang1,2, Yu-Qi Chen1,2**
1Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing 100190
2School of Physical Sciences, University of Chinese Academy of Science, Beijing 100049
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Lina Yang, Yu-Qi Chen 2019 Chin. Phys. Lett. 36 024501
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Abstract The mass flow rate of a granular flow through an aperture under gravity is a long-standing challenge issue in physical science. We show that for steady flow field close to laminar flow, the dynamical equations together with the continue equation and Mohr-circle description of the stress are closed, and hence solvable. In a case of streamline guided by the two-dimensional hopper, we obtain a consistent condition and use it to determine the stress and the velocity distribution. Our result indicates that 3/2 power scaling behavior is recovered with a coefficient $C(\mu,\alpha)$ being a function of frictional coefficient and the hopper angle. It is found that the predicted coefficient $C(\mu,\alpha)$ is compatible with previous studies.
Received: 30 October 2018      Published: 22 January 2019
PACS:  45.70.Mg (Granular flow: mixing, segregation and stratification)  
  47.57.Gc (Granular flow)  
  45.70.-n (Granular systems)  
Fund: Supported by the Key Research Program of Frontier Science of the Chinese Academy of Sciences under Grant No QYZDY-SSW-SYS006.
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https://cpl.iphy.ac.cn/10.1088/0256-307X/36/2/024501       OR      https://cpl.iphy.ac.cn/Y2019/V36/I2/024501
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Lina Yang
Yu-Qi Chen
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