非牛顿幂级数流体平面泊肃叶流的非线性稳定性*

非牛顿流体在现代工业生产中,广泛地作为加工的对象,因此非牛顿流体的流动稳定性问题有着重要的生产实际背景。本文选择在聚合物加工时将熔体压入成板口模时形成平面泊肃叶流这一生产背景,研究其非线性稳定性问题,计算其亚临界阈值。

The Nonlinear Stability of Plane Poiseuille Flow for Non-Newtonian Power Series Fluid

Non-Newtonian fluid is a kind of fluid whose components of stresstensor are not the linear functions of components of strain rate tensor. Non-Newtonian fluid is being processed in many kinds of modern industry. Stability of flows for Non-Newtonian fluid is of important application. In this article we calculate subcritical threshold of flow which occurs in polymer-porcessing when the melt-ing substance is driven through two parallel fixed boundaries.