Lattice Boltzmann method for multi-dimensional population balance models in crystallization
In this work, lattice Boltzmann method (LBM) is developed for efficient and accurate solution of multi-dimensional population balance equations (PBEs) used to model crystallization processes with growth and nucleation. Detailed derivation of LBM for multi-dimensional advection equation is presented,...
| Main Authors: | , , , |
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| Other Authors: | |
| Format: | Journal Article |
| Language: | English |
| Published: |
2013
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| Online Access: | https://hdl.handle.net/10356/99499 http://hdl.handle.net/10220/12969 |
| _version_ | 1826119680636485632 |
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| author | Majumder, Aniruddha Kariwala, Vinay Ansumali, Santosh Rajendran, Arvind |
| author2 | School of Chemical and Biomedical Engineering |
| author_facet | School of Chemical and Biomedical Engineering Majumder, Aniruddha Kariwala, Vinay Ansumali, Santosh Rajendran, Arvind |
| author_sort | Majumder, Aniruddha |
| collection | NTU |
| description | In this work, lattice Boltzmann method (LBM) is developed for efficient and accurate solution of multi-dimensional population balance equations (PBEs) used to model crystallization processes with growth and nucleation. Detailed derivation of LBM for multi-dimensional advection equation is presented, where the velocity is a function of space coordinates. The developed scheme is subsequently applied to solve multi-dimensional PBEs with size-dependent growth rate by drawing an analogy between the advection equation and the PBE. The computational advantage of LBM is shown by solving several benchmark examples taken from the literature and comparing the results with those obtained using well-established high resolution (HR) method. It is found that LBM provides at least as accurate solution as HR method, while requiring lower computation time. |
| first_indexed | 2024-10-01T05:04:03Z |
| format | Journal Article |
| id | ntu-10356/99499 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2024-10-01T05:04:03Z |
| publishDate | 2013 |
| record_format | dspace |
| spelling | ntu-10356/994992020-03-07T11:35:38Z Lattice Boltzmann method for multi-dimensional population balance models in crystallization Majumder, Aniruddha Kariwala, Vinay Ansumali, Santosh Rajendran, Arvind School of Chemical and Biomedical Engineering In this work, lattice Boltzmann method (LBM) is developed for efficient and accurate solution of multi-dimensional population balance equations (PBEs) used to model crystallization processes with growth and nucleation. Detailed derivation of LBM for multi-dimensional advection equation is presented, where the velocity is a function of space coordinates. The developed scheme is subsequently applied to solve multi-dimensional PBEs with size-dependent growth rate by drawing an analogy between the advection equation and the PBE. The computational advantage of LBM is shown by solving several benchmark examples taken from the literature and comparing the results with those obtained using well-established high resolution (HR) method. It is found that LBM provides at least as accurate solution as HR method, while requiring lower computation time. 2013-08-05T02:54:22Z 2019-12-06T20:08:07Z 2013-08-05T02:54:22Z 2019-12-06T20:08:07Z 2011 2011 Journal Article Majumder, A., Kariwala, V., Ansumali, S.,& Rajendran, A. (2012). Lattice Boltzmann method for multi-dimensional population balance models in crystallization. Chemical Engineering Science, 70, 121-134. 0009-2509 https://hdl.handle.net/10356/99499 http://hdl.handle.net/10220/12969 10.1016/j.ces.2011.04.041 en Chemical engineering science |
| spellingShingle | Majumder, Aniruddha Kariwala, Vinay Ansumali, Santosh Rajendran, Arvind Lattice Boltzmann method for multi-dimensional population balance models in crystallization |
| title | Lattice Boltzmann method for multi-dimensional population balance models in crystallization |
| title_full | Lattice Boltzmann method for multi-dimensional population balance models in crystallization |
| title_fullStr | Lattice Boltzmann method for multi-dimensional population balance models in crystallization |
| title_full_unstemmed | Lattice Boltzmann method for multi-dimensional population balance models in crystallization |
| title_short | Lattice Boltzmann method for multi-dimensional population balance models in crystallization |
| title_sort | lattice boltzmann method for multi dimensional population balance models in crystallization |
| url | https://hdl.handle.net/10356/99499 http://hdl.handle.net/10220/12969 |
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