Fractal Analysis of Power-Law Fluid in a Single Capillary  

作　　者：员美娟 郁伯铭 徐鹏 蔡建超 

机构地区：[1]Department of Physics, Huazhong University of Science and Technology, Wuhan 430074

出　　处：《Chinese Physics Letters》2008年第2期616-619,共4页中国物理快报（英文版）

基　　金：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.

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.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.

关 键 词：NON-NEWTONIAN FLUIDS POROUS-MEDIA FLOW MODEL GEOMETRY BEDS 

分 类 号：O35[理学—流体力学]