Phase-field model for elastocapillary flows of liquid crystals.

作者: Jean-Christophe Loudet , James J. Feng , Mingfeng Qiu

DOI: 10.1103/PHYSREVE.103.022706

关键词:

摘要: We propose a phase-field model to study interfacial flows of nematic liquid crystals that couple the capillary forces on interface with elastic stresses in phase. The theoretical has two key ingredients: A tensor order parameter provides consistent description molecular and distortional elasticity, formalism accurately represents tension anchoring stress by approximating sharp-interface limit. Using this model, we carry out finite-element simulations drop retraction surrounding fluid, either component being nematic. results are summarized eight representative steady-state solutions planar axisymmetric geometries, each featuring distinct configuration for defects. dynamics is dominated competition between elasticity phase, mediated condition surface. As consequences competition, deformation clearance defects surface both depend linearly elastocapillary number.

参考文章(67)
Francisco R Hung, Orlando Guzmán, Brian T Gettelfinger, Nicholas L Abbott, Juan J de Pablo, None, Anisotropic nanoparticles immersed in a nematic liquid crystal: defect structures and potentials of mean force. Physical Review E. ,vol. 74, pp. 011711- 011711 ,(2006) , 10.1103/PHYSREVE.74.011711
James J. Feng, Chixing Zhou, Orientational defects near colloidal particles in a nematic liquid crystal. joint international conference on information sciences. ,vol. 269, pp. 72- 78 ,(2004) , 10.1016/J.JCIS.2003.08.048
Pradeep K. Rai, Morton M. Denn, Charles Maldarelli, Interfacial Tension of Liquid Crystalline Droplets Langmuir. ,vol. 19, pp. 7370- 7373 ,(2003) , 10.1021/LA0343730
Alejandro D. Rey, Viscoelastic theory for nematic interfaces Physical Review E. ,vol. 61, pp. 1540- 1549 ,(2000) , 10.1103/PHYSREVE.61.1540
P.R. Amestoy, I.S. Duff, J.-Y. L'Excellent, Multifrontal parallel distributed symmetric and unsymmetric solvers Computer Methods in Applied Mechanics and Engineering. ,vol. 184, pp. 501- 520 ,(2000) , 10.1016/S0045-7825(99)00242-X
M. Oettel, A. Domınguez, M. Tasinkevych, S. Dietrich, Effective interactions of colloids on nematic films. European Physical Journal E. ,vol. 28, pp. 99- 111 ,(2009) , 10.1140/EPJE/I2008-10360-1
P. Poulin, D. A. Weitz, Inverted and multiple nematic emulsions Physical Review E. ,vol. 57, pp. 626- 637 ,(1998) , 10.1103/PHYSREVE.57.626
Alejandro D. Rey, Irreversible thermodynamics of liquid crystal interfaces Journal of Non-newtonian Fluid Mechanics. ,vol. 96, pp. 45- 62 ,(2001) , 10.1016/S0377-0257(00)00143-9
S. V. Lishchuk, C. M. Care, Shape of an isotropic droplet in a nematic liquid crystal: the role of surfactant. Physical Review E. ,vol. 70, pp. 011702- ,(2004) , 10.1103/PHYSREVE.70.011702