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.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 397-423 |
| Number of pages | 27 |
| Journal | European Journal of Applied Mathematics |
| Volume | 25 |
| Issue number | 4 |
| DOIs | |
| State | Published - Oct 17 2013 |
| Externally published | Yes |
Bibliographical note
KAUST Repository Item: Exported on 2020-10-01Acknowledged KAUST grant number(s): KUK-C1-013-04
Acknowledgements: 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.
This publication acknowledges KAUST support, but has no KAUST affiliated authors.