A three-dimensional continuum model incorporating static and kinetic effects for granular flows with applications to collapse of a two-dimensional granular column
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...
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| Format: | Journal Article |
| Language: | English |
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2016
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| Online Access: | https://hdl.handle.net/10356/81589 http://hdl.handle.net/10220/39561 |
| _version_ | 1826118931652280320 |
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| author | Lee, Cheng-Hsien Huang, Zhenhua Chiew, Yee-Meng |
| author2 | School of Civil and Environmental Engineering |
| author_facet | School of Civil and Environmental Engineering Lee, Cheng-Hsien Huang, Zhenhua Chiew, Yee-Meng |
| author_sort | Lee, Cheng-Hsien |
| collection | NTU |
| description | 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. |
| first_indexed | 2024-10-01T04:51:38Z |
| format | Journal Article |
| id | ntu-10356/81589 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2024-10-01T04:51:38Z |
| publishDate | 2016 |
| record_format | dspace |
| spelling | ntu-10356/815892020-03-07T11:43:32Z A three-dimensional continuum model incorporating static and kinetic effects for granular flows with applications to collapse of a two-dimensional granular column Lee, Cheng-Hsien Huang, Zhenhua Chiew, Yee-Meng School of Civil and Environmental Engineering Civil and Environmental Engineering 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. Published version 2016-01-05T05:40:20Z 2019-12-06T14:34:25Z 2016-01-05T05:40:20Z 2019-12-06T14:34:25Z 2015 Journal Article Lee, C.-H., Huang, Z., & Chiew, Y.-M. (2015). A three-dimensional continuum model incorporating static and kinetic effects for granular flows with applications to collapse of a two-dimensional granular column. Physics of Fluids, 27, 113303-. 1070-6631 https://hdl.handle.net/10356/81589 http://hdl.handle.net/10220/39561 10.1063/1.4935626 en Physics of Fluids © 2015 American Institute of Physics. This paper was published in Physics of Fluids and is made available as an electronic reprint (preprint) with permission of American Institute of Physics . The published version is available at: [http://dx.doi.org/10.1063/1.4935626]. One print or electronic copy may be made for personal use only. Systematic or multiple reproduction, distribution to multiple locations via electronic or other means, duplication of any material in this paper for a fee or for commercial purposes, or modification of the content of the paper is prohibited and is subject to penalties under law. 23 p. application/pdf |
| spellingShingle | Civil and Environmental Engineering Lee, Cheng-Hsien Huang, Zhenhua Chiew, Yee-Meng A three-dimensional continuum model incorporating static and kinetic effects for granular flows with applications to collapse of a two-dimensional granular column |
| title | A three-dimensional continuum model incorporating static and kinetic effects for granular flows with applications to collapse of a two-dimensional granular column |
| title_full | A three-dimensional continuum model incorporating static and kinetic effects for granular flows with applications to collapse of a two-dimensional granular column |
| title_fullStr | A three-dimensional continuum model incorporating static and kinetic effects for granular flows with applications to collapse of a two-dimensional granular column |
| title_full_unstemmed | A three-dimensional continuum model incorporating static and kinetic effects for granular flows with applications to collapse of a two-dimensional granular column |
| title_short | A three-dimensional continuum model incorporating static and kinetic effects for granular flows with applications to collapse of a two-dimensional granular column |
| title_sort | three dimensional continuum model incorporating static and kinetic effects for granular flows with applications to collapse of a two dimensional granular column |
| topic | Civil and Environmental Engineering |
| url | https://hdl.handle.net/10356/81589 http://hdl.handle.net/10220/39561 |
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