×

zbMATH — the first resource for mathematics

Dynamical phenomena in liquid-crystalline materials. (English) Zbl 1047.76008
Annu. Rev. Fluid Mech. 34, 233-266 (2002).
Summary: Recent progress in modeling and simulation of the flow of nematic liquid crystals is presented. The Leslie-Ericksen theory has been successful in elucidating the flow of low molar-mass nematics. The theoretical framework for the flow of polymeric nematic liquid crystals is still evolving; extensions of the Doi theory capture qualitative features of the flow of polymeric nematics in simple geometries, but these theories have not been shown to predict texture development in flow. Mesoscopic theories for textured materials based on spatial averaging capture only some qualitative features of nonrectilinear liquid-crystalline polymer flow. Interfacial effects in liquid-crystalline systems have begun to receive attention in the context of interfacial viscoelasticity and the dynamics of dispersed liquid-crystalline polymers in immiscible blends.
For the entire collection see [Zbl 0982.00031].

MSC:
76A15 Liquid crystals
76-05 Experimental work for problems pertaining to fluid mechanics
82D30 Statistical mechanical studies of random media, disordered materials (including liquid crystals and spin glasses)
74D10 Nonlinear constitutive equations for materials with memory
PDF BibTeX XML Cite