Flow of a generalized second grade non-Newtonian fluid with variable viscosity

被引：55
|
作者：
Massoudi, M [1 ]
Phuoc, TX [1 ]
机构：
[1] US DOE, Natl Energy Technol Lab, Pittsburgh, PA 15236 USA
来源：
CONTINUUM MECHANICS AND THERMODYNAMICS | 2004年 / 16卷 / 06期
关键词：
generalized second grade fluids; shear-thinning or shear-thickening non-Newtonian fluids; pipe flow; temperature dependent viscosity;
D O I：
10.1007/s00161-004-0178-0
中图分类号：
O414.1 [热力学];
学科分类号：
摘要：
A modified constitutive equation for a second grade fluid is proposed so that the model would be suitable for studies where shear-thinning (or shear-thickening) may occur. In addition, the dependence of viscosity on the temperature follows the Reynolds equation. In this paper, we propose a constitutive relation, (18), which has the basic structure of a second grade fluid, where the viscosity is now a function of temperature, shear rate, and concentration. As a special case, we solve the fully developed flow of a non-Newtonian fluid given by (11), where the effects of concentration are neglected.
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页码：529 / 538
页数：10
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