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