dc.contributor.author
Cummings, L. J.
dc.contributor.author
Myers, T. G.
dc.contributor.author
Low, J.
dc.contributor.author
Centre de Recerca Matemàtica
dc.date.accessioned
2023-11-13T15:09:22Z
dc.date.available
2023-11-13T15:09:22Z
dc.identifier
https://ddd.uab.cat/record/85591
dc.identifier
urn:oai:ddd.uab.cat:85591
dc.identifier.uri
https://hdl.handle.net/2072/452827
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.
dc.format
application/pdf
dc.publisher
Centre de Recerca Matemàtica
dc.relation
Centre de Recerca Matemàtica. Prepublicacions ;
dc.rights
Aquest document està subjecte a una llicència d'ús Creative Commons. Es permet la reproducció total o parcial, la distribució, i la comunicació pública de l'obra, sempre que no sigui amb finalitats comercials, i sempre que es reconegui l'autoria de l'obra original. No es permet la creació d'obres derivades.
dc.rights
https://creativecommons.org/licenses/by-nc-nd/4.0/
dc.subject
Cristalls líquids
dc.subject
Desenvolupaments asimptòtics
dc.title
Extensional flow of nematic liquid crystal under electric field gradient
