Rey A D
Department of Chemical Engineering, McGill University, 3610 University Street, Montreal, Quebec, Canada H3A 2B2.
Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics. 1999 Jul;60(1):1077-80. doi: 10.1103/physreve.60.1077.
This brief report (i) presents equations that govern the balance of tangential forces in interfaces between isotropic viscous fluids and nematic liquid crystals, and (ii) establishes the physical origin of nematic Marangoni flows. It is shown that surface gradients in the orientation dependent surface free energy gives rise to tangential nematic Marangoni forces. Tangential nematic Marangoni forces are caused by surface gradients of the nematic tensor order parameter, and the kinetic coefficient characterizing this interfacial phenomenon is proportional to nematic elastic storage. Expressions of the Marangoni forces using a classical constitutive equation for the surface free energy are given for general and uniaxial nematic ordering states. Nematic Marangoni flows or nematocapillarity augments the class of Marangoni flows present in electrocapillarity, diffusocapillarity, and thermocapillarity.
(i) 给出了描述各向同性粘性流体与向列型液晶界面切向力平衡的方程,(ii) 确定了向列型马兰戈尼流的物理起源。结果表明,取向依赖表面自由能的表面梯度会产生切向向列型马兰戈尼力。切向向列型马兰戈尼力由向列张量序参量的表面梯度引起,表征这种界面现象的动力学系数与向列弹性储能成正比。针对一般和单轴向列有序状态,给出了使用表面自由能经典本构方程的马兰戈尼力表达式。向列型马兰戈尼流或向列毛细作用扩展了电毛细作用、扩散毛细作用和热毛细作用中存在的马兰戈尼流类别。