Slow Flows of Anisotropic Fluids
Slow Flows of Anisotropic Fluids
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DOI：
10.1122/1.550046
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发表时间：
1989-10
影响因子：
3.3
通讯作者：
Ernest H. MacMillan
中科院分区：
文献类型：
--
作者：
Ernest H. MacMillan
从接近平衡的角度分析对称、无痕、二阶张量的微观结构松弛方程，其中包括许多提出的液晶、液晶聚合物和纤维悬浮液模型。方程接近单轴平衡的稳态是针对缓慢、稳定、仿射流中的流体确定的。给出了用于定位极限（零流量）稳态并根据一组简化的本构参数确定其线性稳定性的公式。各种可能性被绘制成图表，以便可以轻松地看到松弛方程在这种情况下的动态行为。
The microstructural relaxation equation for a symmetric, traceless, second‐order tensor is analyzed near equilibrium from a point of view that includes many proposed models for liquid crystals, liquid crystal polymers, and fiber suspensions. The steady states of the equation near a uniaxial equilibrium are determined for the fluid in slow, steady, affine flows. Formulae are given for locating the limiting (at zero flow) steady states and determining their linearized stability from a reduced set of constitutive parameters. The various possibilities are graphed so that the dynamical behavior of the relaxation equation in this context may be easily seen.