Solution landscapes in nematic microfluidics
We study the static equilibria of a simplified Leslie–Ericksen model for a unidirectional uniaxial nematic flow in a prototype microfluidic channel, as a function of the pressure gradient G and inverse anchoring strength, B. We numerically find multiple static equilibria for admissible pairs (G, B)...
| Автори: | , , , |
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| Формат: | Journal article |
| Опубліковано: |
Elsevier
2017
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| _version_ | 1826278403668443136 |
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| author | Crespo, M Majumdar, A Ramos, A Griffiths, I |
| author_facet | Crespo, M Majumdar, A Ramos, A Griffiths, I |
| author_sort | Crespo, M |
| collection | OXFORD |
| description | We study the static equilibria of a simplified Leslie–Ericksen model for a unidirectional uniaxial nematic flow in a prototype microfluidic channel, as a function of the pressure gradient G and inverse anchoring strength, B. We numerically find multiple static equilibria for admissible pairs (G, B) and classify them according to their winding numbers and stability. The case G = 0 is analytically tractable and we numerically study how the solution landscape is transformed as G increases. We study the one-dimensional dynamical model, the sensitivity of the dynamic solutions to initial conditions and the rate of change of G and B. We provide a physically interesting example of how the time delay between the applications of G and B can determine the selection of the final steady state. |
| first_indexed | 2024-03-06T23:43:24Z |
| format | Journal article |
| id | oxford-uuid:701957b2-2a5b-417e-a302-1318636b51b7 |
| institution | University of Oxford |
| last_indexed | 2024-03-06T23:43:24Z |
| publishDate | 2017 |
| publisher | Elsevier |
| record_format | dspace |
| spelling | oxford-uuid:701957b2-2a5b-417e-a302-1318636b51b72022-03-26T19:34:52ZSolution landscapes in nematic microfluidicsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:701957b2-2a5b-417e-a302-1318636b51b7Symplectic Elements at OxfordElsevier2017Crespo, MMajumdar, ARamos, AGriffiths, IWe study the static equilibria of a simplified Leslie–Ericksen model for a unidirectional uniaxial nematic flow in a prototype microfluidic channel, as a function of the pressure gradient G and inverse anchoring strength, B. We numerically find multiple static equilibria for admissible pairs (G, B) and classify them according to their winding numbers and stability. The case G = 0 is analytically tractable and we numerically study how the solution landscape is transformed as G increases. We study the one-dimensional dynamical model, the sensitivity of the dynamic solutions to initial conditions and the rate of change of G and B. We provide a physically interesting example of how the time delay between the applications of G and B can determine the selection of the final steady state. |
| spellingShingle | Crespo, M Majumdar, A Ramos, A Griffiths, I Solution landscapes in nematic microfluidics |
| title | Solution landscapes in nematic microfluidics |
| title_full | Solution landscapes in nematic microfluidics |
| title_fullStr | Solution landscapes in nematic microfluidics |
| title_full_unstemmed | Solution landscapes in nematic microfluidics |
| title_short | Solution landscapes in nematic microfluidics |
| title_sort | solution landscapes in nematic microfluidics |
| work_keys_str_mv | AT crespom solutionlandscapesinnematicmicrofluidics AT majumdara solutionlandscapesinnematicmicrofluidics AT ramosa solutionlandscapesinnematicmicrofluidics AT griffithsi solutionlandscapesinnematicmicrofluidics |