非牛顿幂级数流体平面泊肃叶流的非线性稳定性*
The Nonlinear Stability of Plane Poiseuille Flow for Non-Newtonian Power Series Fluid
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摘要: 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。Abstract: Non-Newtonan fluid is a kind of fluid whose components of stresstensor aren't theliear funtions of compoents of the 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 thrdshold of flow which oecurs in polymer-processing when the melting substance is driven through two parallel fixed boundaries.
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Key words:
- non-Newtonian fluid /
- nonlinear stability /
- plane Poiseuillc flow
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[1] 是勋刚主编,《湍流》第I篇,天津大学出版社.天津(1994). [2] Daniel D.Josepn,Stahility of Fluid Motions,Springer-Verlag(1976). [3] 冯康,《数值计算方法》,国防工业出版社(1978). -
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