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.

引用

页码：529 / 538

页数：10

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