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dc.contributor.authorZhou, Hong
dc.contributor.authorForest, M. G.
dc.date.accessioned2013-01-18T19:11:39Z
dc.date.available2013-01-18T19:11:39Z
dc.date.issued2007
dc.identifier.citationInternational Journal of Numerical Analysis and Modeling / Volume 4, Issue 41337, pp. 460-477
dc.identifier.urihttp://hdl.handle.net/10945/25496
dc.descriptionThe article of record as published may be located at http://www.math.ualberta.ca/ijnamb/contents.htmen_US
dc.description.abstractWe study the scaling properties of heterogeneities in nematic (liquid crystal) polymers that are generated by pressure-driven, capillary Poiseuille flow. These studies complement our earlier drag-driven structure simulations and analyses. We use the mesoscopic Doi-Marrucci-Greco model, which incorporates excluded-volume interactions of the rod-like particle ensemble, distortional elasticity of the dispersion, and hydrodynamic feedback through orientation dependent viscoelestic stresses. The geometry likewise introduces anchoring conditions on the nano-rods which touch the solid boundaries. We first derive flow-orientation steady-state structures for three different anchoring conditions, by asymptotic analysis in the limit of weak pressure gradient. These closed-form expressions yield scaling laws, which predict how lengthscales of distortions in the flow and orientational distributions vary with strength of the excluded volume potential, molecule geometry, and distortional elasticity constants. Next, the asymptotic structures are verified by direct numerical simulations, which provide a high level benchmark on the numerical code and algorithm. Finally, we calculate the effective (thermal or electrical) conductivity tensor of the composite films, and determine scaling behavior of the effective property enhancements generated by capillary Poiseuille flow.en_US
dc.rightsThis publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.en_US
dc.titleNematic liquids in weak capillary Poiseuille flow: structure scaling laws and effective conductivity implicationsen_US
dc.typeArticleen_US
dc.contributor.departmentApplied Mathematics
dc.subject.authorLiquid crystal (nematic) polymersen_US
dc.subject.authorasymptotic expansionsen_US
dc.subject.authorparatial differential equationsen_US
dc.subject.authorcapillaryen_US
dc.subject.authorPoiseuille flowen_US
dc.subject.authorconductivityen_US


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