85591 driver oai:ddd.uab.cat:85591 hdl_2072_1177 oai:www.recercat.cat:2072/179280 eng 54 Cummings, L. J. Extensional flow of nematic liquid crystal under electric field gradient Centre de Recerca Matemàtica 2011 25 p. 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. info:eu-repo/semantics/openAccess 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/ Cristalls líquids Desenvolupaments asimptòtics info:eu-repo/semantics/preprint Myers, T.G. Low, J. Centre de Recerca Matemàtica Prepublicacions del Centre de Recerca Matemàtica ; 1016 25 411963 http://ddd.uab.cat/pub/prepub/2011/hdl_2072_179280/Pr1016.pdf Adreça alternativa http://hdl.handle.net/2072/179280 PREPUB UAB DDD id 85591 filename Pr1016.pdf file 0 MD5 28d249ad614621fe3fe9bab102a48878 411963 PDF 1.4 filepath pub/prepub/2011/hdl_2072_179280/Pr1016.pdf disk