论文标题
列液晶薄膜的流体动力学模型，具有一般的定向顺序状态
A hydrodynamical model of nematic liquid crystal films with a general state of orientational order
论文作者
论文摘要
我们开发了一个固定液晶体的Q量模型，该模型占据了固定表面，该表面代表了空间中的流体材料膜。除了由于Landau-de \引起的演变外，Gennes Energy模型还包括沿表面的切线粘性不可压缩的流动。二维流量和三维Q量动力学的热力学一致耦合源自在平坦情况下已知的BERIS- EDWARDS系统的广义上的Onsager原理。该模型的主要新颖性是它允许任意取向的液晶流动，因此Q量不会固定在表面的切线平面上，并且还要遵守能量定律。几个数值实验探索了新型模型的运动学和动力学特性。
We develop a Q-tensor model of nematic liquid crystals occupying a stationary surface which represents a fluidic material film in space. In addition to the evolution due to Landau--de\,Gennes energy the model includes a tangent viscous incompressible flow along the surface. A thermodynamically consistent coupling of a two-dimensional flow and a three-dimensional Q-tensor dynamics is derived from the generalized Onsager principle following the Beris--Edwards system known in the flat case. The main novelty of the model is that it allows for a flow of an arbitrarily oriented liquid crystal so the Q-tensor is not anchored to the tangent plane of the surface, and also obeys an energy law. Several numerical experiments explore kinematical and dynamical properties of the novel model.
