Analytical solution for the Hagen-Poiseuille flow of a hard sphere gas with nonlinear shear viscosity

被引：1

作者：

Bertola, V.

Cafaro, E.

机构：

[1] Univ Edinburgh, Sch Engn & Elect, Edinburgh EH9 3JL, Midlothian, Scotland

[2] Politecn Torino, Dipartimento Energet, I-10129 Turin, Italy

来源：

JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT | 2007年

关键词：

rheology of biomolecular and active materials; COLLOIDAL SUSPENSIONS; WALL DEPLETION; DYNAMICS; FLUIDS; SLIP;

D O I：

10.1088/1742-5468/2007/06/P06017

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

We study the Hagen-Poiseuille flow in cylindrical geometry of a Zwanzig fluid, for which the shear viscosity is a highly nonlinear function of the shear rate. It is shown that the problem has a real solution only if the radial distance from the flow centreline is smaller than a critical value, showing that such a constitutive model is not always compatible with the flow under a constant pressure gradient. This leads to the introduction of scenarios such as shear banding, shear-induced phase transitions, and wall slip, which are generally believed to occur only in complex fluids.

引用

页数：7

共 21 条

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Astarita G., 1974, Principles of Non-Newtonian Fluid Mechanics

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