Parallel shear flows of fluids with a temperature dependent viscosity

被引：0

作者：

Renardy, M ^{[1
]}

机构：

[1] Virginia Polytech Inst & State Univ, Dept Math, Blacksburg, VA 24061 USA

来源：

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 2005年 / 56卷 / 04期

关键词：

parallel flow; temperature dependent viscosity;

D O I：

10.1007/s00033-005-3124-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We investigate whether parallel shear flows of an incompressible Newtonian fluid with a viscosity which depends linearly on temperature is possible in situations where the temperature changes along the flow direction. It is shown that parallel flow is possible only in planar or axisymmetric geometries. These two situations are investigated further. For either a plane channel or a circular pipe, we show that the temperature variation in the flow direction must be exponential.

引用

页码：681 / 693

页数：13

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