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.
Abstract：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.
YUN Mei-Juan;YU Bo-Ming;Xu Peng;CAI Jian-Chao. Fractal Analysis of Power-Law Fluid in a Single Capillary[J]. 中国物理快报, 2008, 25(2): 616-619.
YUN Mei-Juan, YU Bo-Ming, Xu Peng, CAI Jian-Chao. Fractal Analysis of Power-Law Fluid in a Single Capillary. Chin. Phys. Lett., 2008, 25(2): 616-619.
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2008, Vol. 25 
