Extensional flow of nematic liquid crystal under electric field gradient
Cummings, L. J.
Myers, T.G.
Low, J.
Centre de Recerca Matemàtica

Imprint: Centre de Recerca Matemàtica 2011
Description: 25 p.
Abstract: Systematic asymptotic methods are used to formulate a model for the extensional flow of a thin sheet of nematic liquid crystal. With no external body forces applied, the model is found to be equivalent to the so-called Trouton model for Newtonian sheets (and fi bers), albeit with a modi fied "Trouton ratio". However, with a symmetry-breaking electric field gradient applied, behavior deviates from the Newtonian case, and the sheet can undergo fi nite-time breakup if a suitable destabilizing field is applied. Some simple exact solutions are presented to illustrate the results in certain idealized limits, as well as sample numerical results to the full model equations.
Rights: L'accés als continguts d'aquest document queda condicionat a l'acceptació de les condicions d'ús establertes per la següent llicència Creative Commons: http://creativecommons.org/licenses/by-nc-nd/3.0/es/
Language: Anglès.
Series: Prepublicacions del Centre de Recerca Matemàtica
Series: Prepublicacions del Centre de Recerca Matemàtica ; 1016
Document: preprint
Subject: Cristalls líquids ; Desenvolupaments asimptòtics

Adreça alternativa: http://hdl.handle.net/2072/179280

25 p, 402.3 KB

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Research literature > Preprints

 Record created 2012-01-20, last modified 2017-10-21

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