| Fractal Analysis of Power-Law Fluid in a Single Capillary |
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| 作者姓名： | 员美娟 郁伯铭 徐鹏 蔡建超 |
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| 作者单位： | Department of Physics, Huazhong University of Science and Technology, Wuhan 430074 |
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| 基金项目： | Supported by the National Natural Science Foundation of China under Grant No 10572052, and the Graduate Science and Technology Innovation Foundation of Huazhong University of Science and Technology under Grant No HF-05-15-2007-012. |
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| 摘 要： | The fractai expressions for flow rate and hydraulic conductivity for power-law fluids in a single capillary are derived based on the fractai 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 fractai 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 rheologicai properties.
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| 关 键 词： | 幂律流体 毛细管 管道流 分形分析 |
| 收稿时间： | 2007-05-11 |
Fractal Analysis of Power-Law Fluid in a Single Capillary |
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| YUN Mei-Juan,YU Bo-Ming,Xu Peng,CAI Jian-Chao.Fractal Analysis of Power-Law Fluid in a Single Capillary[J].Chinese Physics Letters,2008,25(2):616-619. |
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| Authors: | YUN Mei-Juan YU Bo-Ming Xu Peng CAI Jian-Chao |
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| Affiliation: | Department of Physics, Huazhong University of Science and Technology, Wuhan 430074 |
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| Abstract: | The fractai expressions for flow rate and hydraulic conductivity for power-law fluids in a single capillary are derived based on the fractai 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 fractai 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 rheologicai properties. |
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| Keywords: | 47 55 Mh 47 50 +d 47 53 +n |
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