On the Equilibria of the Extended Nematic Polymers under Elongational Flow
We classify the equilibrium solutions of the Smoluchowski equation for dipolar (extended) rigid nematic polymers under imposed elongational flow. The Smoluchowski equation couples the Maier-Saupe short-range interaction, dipole-dipole interaction, and an external elongational flow. We show that all...
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| Format: | Article |
| Language: | English |
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Wiley
2007-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2007/36267 |
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| _version_ | 1832558915921903616 |
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| author | Hong Zhou Lynda Wilson Hongyun Wang |
| author_facet | Hong Zhou Lynda Wilson Hongyun Wang |
| author_sort | Hong Zhou |
| collection | DOAJ |
| description | We classify the equilibrium solutions of the Smoluchowski equation for dipolar (extended) rigid nematic polymers under imposed elongational flow. The Smoluchowski equation couples the Maier-Saupe short-range interaction, dipole-dipole interaction, and an external elongational flow. We show that all stable equilibria of rigid, dipolar rod dispersions under imposed uniaxial elongational flow field are axisymmetric. This finding of axisymmetry significantly simplifies any procedure of obtaining experimentally observable equilibria. |
| format | Article |
| id | doaj-art-247290661032413796ee5d8e3c4b2870 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2007-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-247290661032413796ee5d8e3c4b28702025-02-03T01:31:16ZengWileyAbstract and Applied Analysis1085-33751687-04092007-01-01200710.1155/2007/3626736267On the Equilibria of the Extended Nematic Polymers under Elongational FlowHong Zhou0Lynda Wilson1Hongyun Wang2Department of Applied Mathematics, Naval Postgraduate School, Monterey, CA 93943, USADepartment of Applied Mathematics, Naval Postgraduate School, Monterey, CA 93943, USADepartment of Applied Mathematics and Statistics, University of California, Santa Cruz, CA 95064, USAWe classify the equilibrium solutions of the Smoluchowski equation for dipolar (extended) rigid nematic polymers under imposed elongational flow. The Smoluchowski equation couples the Maier-Saupe short-range interaction, dipole-dipole interaction, and an external elongational flow. We show that all stable equilibria of rigid, dipolar rod dispersions under imposed uniaxial elongational flow field are axisymmetric. This finding of axisymmetry significantly simplifies any procedure of obtaining experimentally observable equilibria.http://dx.doi.org/10.1155/2007/36267 |
| spellingShingle | Hong Zhou Lynda Wilson Hongyun Wang On the Equilibria of the Extended Nematic Polymers under Elongational Flow Abstract and Applied Analysis |
| title | On the Equilibria of the Extended Nematic Polymers under Elongational Flow |
| title_full | On the Equilibria of the Extended Nematic Polymers under Elongational Flow |
| title_fullStr | On the Equilibria of the Extended Nematic Polymers under Elongational Flow |
| title_full_unstemmed | On the Equilibria of the Extended Nematic Polymers under Elongational Flow |
| title_short | On the Equilibria of the Extended Nematic Polymers under Elongational Flow |
| title_sort | on the equilibria of the extended nematic polymers under elongational flow |
| url | http://dx.doi.org/10.1155/2007/36267 |
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