dc.contributor |
Centre de Recerca Matemàtica |
dc.contributor.author |
Cummings, L. J. |
dc.contributor.author |
Myers, T.G. |
dc.contributor.author |
Low, J. |
dc.date.accessioned |
2012-01-16T09:01:34Z |
dc.date.available |
2012-01-16T09:01:34Z |
dc.date.created |
2011 |
dc.date.issued |
2011 |
dc.identifier.uri |
http://hdl.handle.net/2072/179280 |
dc.format.extent |
25 p. |
dc.language.iso |
eng |
dc.publisher |
Centre de Recerca Matemàtica |
dc.relation.ispartofseries |
Prepublicacions del Centre de Recerca Matemàtica;1016 |
dc.rights |
info:eu-repo/semantics/openAccess |
dc.rights |
|
dc.rights |
info:eu-repo/semantics/openAccess |
dc.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/ |
dc.source |
RECERCAT (Dipòsit de la Recerca de Catalunya) |
dc.subject.other |
Cristalls líquids |
dc.subject.other |
Desenvolupaments asimptòtics |
dc.title |
Extensional flow of nematic liquid crystal under electric field gradient |
dc.type |
info:eu-repo/semantics/preprint |
dc.subject.udc |
54 - Química |
dc.embargo.terms |
cap |
dc.description.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. |