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Convection in three-dimensional vibrofluidized granular beds
We study convective motion in vertically vibrated three-dimensional granular beds by comparing the predictions of a model based on a hydrodynamic description to Navier–Stokes order with experimental results obtained using positron emission particle tracking (PEPT). The three-dimensional conservation...
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| Main Authors: | , , , |
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| Format: | Default Article |
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2011
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| Online Access: | https://hdl.handle.net/2134/13246 |
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| _version_ | 1818173843479461888 |
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| author | Harish Viswanathan Nadeem A. Sheikh Ricky D. Wildman Jonathan Huntley |
| author_facet | Harish Viswanathan Nadeem A. Sheikh Ricky D. Wildman Jonathan Huntley |
| author_sort | Harish Viswanathan (7200581) |
| collection | Figshare |
| description | We study convective motion in vertically vibrated three-dimensional granular beds by comparing the predictions of a model based on a hydrodynamic description to Navier–Stokes order with experimental results obtained using positron emission particle tracking (PEPT). The three-dimensional conservation equations relating mass, momentum and energy are solved using the finite element (FE) method for a viscous vibrofluidized bed by using only observable system parameters such as particle number, size, mass and coefficients of restitution. The mean velocity profiles from the viscous model show reasonable agreement with the experimental results at relatively low altitudes for the range of experimental values studied, though the velocity fields at higher altitudes were systematically underestimated by the model. We confirm that the convection rolls are influenced by the sidewall coefficient of restitution and demonstrate the scaling relationships that operate, where increasing amplitude of vibration leads to a reduction in the angular velocity of the rolls. |
| format | Default Article |
| id | rr-article-9568883 |
| institution | Loughborough University |
| publishDate | 2011 |
| record_format | Figshare |
| spelling | rr-article-95688832011-01-01T00:00:00Z Convection in three-dimensional vibrofluidized granular beds Harish Viswanathan (7200581) Nadeem A. Sheikh (3315666) Ricky D. Wildman (3315663) Jonathan Huntley (1248681) Mechanical engineering not elsewhere classified Fluidized beds Granular media Kinetic theory Mechanical Engineering not elsewhere classified We study convective motion in vertically vibrated three-dimensional granular beds by comparing the predictions of a model based on a hydrodynamic description to Navier–Stokes order with experimental results obtained using positron emission particle tracking (PEPT). The three-dimensional conservation equations relating mass, momentum and energy are solved using the finite element (FE) method for a viscous vibrofluidized bed by using only observable system parameters such as particle number, size, mass and coefficients of restitution. The mean velocity profiles from the viscous model show reasonable agreement with the experimental results at relatively low altitudes for the range of experimental values studied, though the velocity fields at higher altitudes were systematically underestimated by the model. We confirm that the convection rolls are influenced by the sidewall coefficient of restitution and demonstrate the scaling relationships that operate, where increasing amplitude of vibration leads to a reduction in the angular velocity of the rolls. 2011-01-01T00:00:00Z Text Journal contribution 2134/13246 https://figshare.com/articles/journal_contribution/Convection_in_three-dimensional_vibrofluidized_granular_beds/9568883 CC BY-NC-ND 4.0 |
| spellingShingle | Mechanical engineering not elsewhere classified Fluidized beds Granular media Kinetic theory Mechanical Engineering not elsewhere classified Harish Viswanathan Nadeem A. Sheikh Ricky D. Wildman Jonathan Huntley Convection in three-dimensional vibrofluidized granular beds |
| title | Convection in three-dimensional vibrofluidized granular beds |
| title_full | Convection in three-dimensional vibrofluidized granular beds |
| title_fullStr | Convection in three-dimensional vibrofluidized granular beds |
| title_full_unstemmed | Convection in three-dimensional vibrofluidized granular beds |
| title_short | Convection in three-dimensional vibrofluidized granular beds |
| title_sort | convection in three-dimensional vibrofluidized granular beds |
| topic | Mechanical engineering not elsewhere classified Fluidized beds Granular media Kinetic theory Mechanical Engineering not elsewhere classified |
| url | https://hdl.handle.net/2134/13246 |