FUNDAMENTAL AREAS OF PHENOMENOLOGY(INCLUDING APPLICATIONS) |
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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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Cite this article: |
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.
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Received: 30 October 2018
Published: 22 January 2019
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PACS: |
45.70.Mg
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(Granular flow: mixing, segregation and stratification)
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47.57.Gc
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(Granular flow)
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45.70.-n
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(Granular systems)
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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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