A New Method of Moments for the Bimodal Particle System in the Stokes Regime
The current paper studied the particle system in the Stokes regime with a bimodal distribution. In such a system, the particles tend to congregate around two major sizes. In order to investigate this system, the conventional method of moments (MOM) should be extended to include the interaction betwe...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/840218 |
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| author | Yan-hua Liu Zhao-qin Yin |
| author_facet | Yan-hua Liu Zhao-qin Yin |
| author_sort | Yan-hua Liu |
| collection | DOAJ |
| description | The current paper studied the particle system in the Stokes regime with a bimodal distribution. In such a system, the particles tend to congregate around two major sizes. In order to investigate this system, the conventional method of moments (MOM) should be extended to include the interaction between different particle clusters. The closure problem for MOM arises and can be solved by a multipoint Taylor-expansion technique. The exact expression is deduced to include the size effect between different particle clusters. The collision effects between different modals could also be modeled. The new model was simply tested and proved to be effective to treat the bimodal system. The results showed that, for single-modal particle system, the results from new model were the same as those from TEMOM. However, for the bimodal particle system, there was a distinct difference between the two models, especially for the zero-order moment. The current model generated fewer particles than TEMOM. The maximum deviation reached about 15% for m0 and 4% for m2. The detailed distribution of each submodal could also be investigated through current model. |
| format | Article |
| id | doaj-art-3ed2c08268b44f4d91de79ea683e7816 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-3ed2c08268b44f4d91de79ea683e78162025-02-03T05:50:13ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/840218840218A New Method of Moments for the Bimodal Particle System in the Stokes RegimeYan-hua Liu0Zhao-qin Yin1College of Mechanical and Electrical Engineering, Hohai University, Changzhou 213022, ChinaChina Jiliang University, Hangzhou 310018, ChinaThe current paper studied the particle system in the Stokes regime with a bimodal distribution. In such a system, the particles tend to congregate around two major sizes. In order to investigate this system, the conventional method of moments (MOM) should be extended to include the interaction between different particle clusters. The closure problem for MOM arises and can be solved by a multipoint Taylor-expansion technique. The exact expression is deduced to include the size effect between different particle clusters. The collision effects between different modals could also be modeled. The new model was simply tested and proved to be effective to treat the bimodal system. The results showed that, for single-modal particle system, the results from new model were the same as those from TEMOM. However, for the bimodal particle system, there was a distinct difference between the two models, especially for the zero-order moment. The current model generated fewer particles than TEMOM. The maximum deviation reached about 15% for m0 and 4% for m2. The detailed distribution of each submodal could also be investigated through current model.http://dx.doi.org/10.1155/2013/840218 |
| spellingShingle | Yan-hua Liu Zhao-qin Yin A New Method of Moments for the Bimodal Particle System in the Stokes Regime Abstract and Applied Analysis |
| title | A New Method of Moments for the Bimodal Particle System in the Stokes Regime |
| title_full | A New Method of Moments for the Bimodal Particle System in the Stokes Regime |
| title_fullStr | A New Method of Moments for the Bimodal Particle System in the Stokes Regime |
| title_full_unstemmed | A New Method of Moments for the Bimodal Particle System in the Stokes Regime |
| title_short | A New Method of Moments for the Bimodal Particle System in the Stokes Regime |
| title_sort | new method of moments for the bimodal particle system in the stokes regime |
| url | http://dx.doi.org/10.1155/2013/840218 |
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