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| 题名: | A three-dimensional continuum model incorporating static and kinetic effects for granular flows with applications to collapse of a two-dimensional granular column |
| 作者: | Lee, Cheng-Hsien;Huang, Zhenhua;Chiew, Yee-Meng |
| 日期: | 2015-11-20 |
| 上传时间: | 2016-04-22 13:43:24 (UTC+8) |
| 摘要: | This work extends a one-dimensional continuum model for granular flows down inclined planes [C. H. Lee and C. J. Huang, “Kinetic-theory-based model of dense granular flows down inclined planes,” Phys. Fluids 24, 073303 (2012)] to solve three-dimensional problems involving both static and flow states. The new model decomposes the shear stress and pressure into enduring-contact and kinetic components. One novelty of the present model is the determination of the enduring-contact component of pressure, which is a composition of a pressure depending only on the volume fraction and a pressure derived from the dilatancy law together with the equation of state from the kinetic theory. Another novelty of this study is a new numerical scheme that can avoid numerical instability caused by large volume fractions. To demonstrate its capability, the present model is applied to simulate the collapse of a granular column with various aspect ratios. The evolution of the column shape, the flow field, the final height, and the run-out predicted by the present model agree well with those provided by discrete element methods and experiments. |
| 關聯: | Physics of Fluids 27(11), 113303(23 pages) |
| DOI: | 10.1063/1.4935626 |
| 显示于类别: | [水資源及環境工程學系暨研究所] 期刊論文
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