Fractal analysis of power-law fluid in a single capillary

被引：33

作者：

Department of Physics, Huazhong University of Science and Technology, Wuhan 430074, China ^{[1
]}

机构：

[1] Department of Physics, Huazhong University of Science and Technology

来源：

Chin. Phys. Lett. | 2008年 / 2卷 / 616-619期

关键词：

D O I：

10.1088/0256-307X/25/2/071

中图分类号：

学科分类号：

摘要：

The fractal expressions for flow rate and hydraulic conductivity for power-law fluids in a single capillary are derived based on the fractal nature of tortuous capillaries. Every parameter in the proposed expressions has clear physical meaning. The flow rate and hydraulic conductivity for power-law fluids are found to be related to the tortuosity fractal dimension and the power-law index. The flow rate for power-law fluids increases with the increasing power-law index but decreases with the increasing tortuosity fractal dimension. Good agreement between the model predictions for flow in a fractal capillary and in a converging-diverging duct is obtained. The results suggest that the fractal capillary model can be used to model the power-law fluids with different rheological properties. © 2008 Chinese Physical Society and IOP Publishing Ltd.

引用

页码：616 / 619

页数：3