Extensional flow of nematic liquid crystal with an applied electric field

Handle URI:
http://hdl.handle.net/10754/598295
Title:
Extensional flow of nematic liquid crystal with an applied electric field
Authors:
CUMMINGS, L. J.; LOW, J.; MYERS, T. G.
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 fibres), albeit with a modified 'Trouton ratio'. However, with a symmetry-breaking electric field gradient applied, behaviour deviates from the Newtonian case, and the sheet can undergo finite-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. Copyright © Cambridge University Press 2013.
Citation:
CUMMINGS LJ, LOW J, MYERS TG (2013) Extensional flow of nematic liquid crystal with an applied electric field. European Journal of Applied Mathematics 25: 397–423. Available: http://dx.doi.org/10.1017/S095679251300034X.
Publisher:
Cambridge University Press (CUP)
Journal:
European Journal of Applied Mathematics
KAUST Grant Number:
KUK-C1-013-04
Issue Date:
17-Oct-2013
DOI:
10.1017/S095679251300034X
Type:
Article
ISSN:
0956-7925; 1469-4425
Sponsors:
L.J. Cummings gratefully acknowledges financial support from the NSF on grants DMS 0908158 and DMS 1211713, from King Abdullah University of Science and Technology (KAUST) on Award no. KUK-C1-013-04 (an OCCAM Visiting Fellowship) and from the Centre de Recerca Matematica (CRM) during a Visiting Fellowship. T. G. Myers and L.J. Cummings also gratefully acknowledge the support for this research through the Marie Curie International Reintegration Grant FP7-256417 and Ministerio de Ciencia e Innovacion grant MTM2010-17162. J. Low acknowledges support through a CRM Postdoctoral Fellowship. The authors thank G. W. Richardson for helpful discussions.
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Publications Acknowledging KAUST Support

Full metadata record

DC FieldValue Language
dc.contributor.authorCUMMINGS, L. J.en
dc.contributor.authorLOW, J.en
dc.contributor.authorMYERS, T. G.en
dc.date.accessioned2016-02-25T13:18:10Zen
dc.date.available2016-02-25T13:18:10Zen
dc.date.issued2013-10-17en
dc.identifier.citationCUMMINGS LJ, LOW J, MYERS TG (2013) Extensional flow of nematic liquid crystal with an applied electric field. European Journal of Applied Mathematics 25: 397–423. Available: http://dx.doi.org/10.1017/S095679251300034X.en
dc.identifier.issn0956-7925en
dc.identifier.issn1469-4425en
dc.identifier.doi10.1017/S095679251300034Xen
dc.identifier.urihttp://hdl.handle.net/10754/598295en
dc.description.abstractSystematic 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 fibres), albeit with a modified 'Trouton ratio'. However, with a symmetry-breaking electric field gradient applied, behaviour deviates from the Newtonian case, and the sheet can undergo finite-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. Copyright © Cambridge University Press 2013.en
dc.description.sponsorshipL.J. Cummings gratefully acknowledges financial support from the NSF on grants DMS 0908158 and DMS 1211713, from King Abdullah University of Science and Technology (KAUST) on Award no. KUK-C1-013-04 (an OCCAM Visiting Fellowship) and from the Centre de Recerca Matematica (CRM) during a Visiting Fellowship. T. G. Myers and L.J. Cummings also gratefully acknowledge the support for this research through the Marie Curie International Reintegration Grant FP7-256417 and Ministerio de Ciencia e Innovacion grant MTM2010-17162. J. Low acknowledges support through a CRM Postdoctoral Fellowship. The authors thank G. W. Richardson for helpful discussions.en
dc.publisherCambridge University Press (CUP)en
dc.subjectElectric fielden
dc.subjectNematic liquid crystalen
dc.subjectThin filmen
dc.subjectViscous sheeten
dc.titleExtensional flow of nematic liquid crystal with an applied electric fielden
dc.typeArticleen
dc.identifier.journalEuropean Journal of Applied Mathematicsen
dc.contributor.institutionNew Jersey Institute of Technology, Newark, United Statesen
dc.contributor.institutionCentre de Recerca Matematica, Cerdanyola del Valles, Spainen
kaust.grant.numberKUK-C1-013-04en
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