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Fractal Analysis of Power-Law Fluid in a Single Capillary |
| YUN Mei-Juan;YU Bo-Ming;Xu Peng;CAI Jian-Chao |
| Department of Physics, Huazhong University of Science and Technology, Wuhan 430074 |
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| Cite this article: |
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YUN Mei-Juan, YU Bo-Ming, Xu Peng et al 2008 Chin. Phys. Lett. 25 616-619 |
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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.
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| Keywords:
47.55.Mh
47.50.+d
47.53.+n
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Received: 11 May 2007
Published: 30 January 2008
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[8] Govier G W and Aziz K 1972 The Flow of ComplexMixtures in Pipes (New York: Krieger)
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[10] Yu B M 2005 Chin. Phys. Lett. 22 158[1] Feng S X and Fu S 2007 Chin. Phys. Lett. 24759
[2] Zheng L C, Zhang X X and Lu C Q 2006 Chin. Phys.Lett. 23 3301
[3] Machac I et al 1998 Chem. Eng. Proc. 37 169
[4] Woods J K et al 2003 J. Non-Newtonian Fluid Mech. 111 211
[5] Balhoff M T and Thompson K E 2006 Chem. Eng. Sci. 61 698
[6] Wheatcraft S W and Tyler S W 1988 Water Resour. Res. 24 566
[7] Yu B M and Cheng P 2002 Int. J. Heat Mass Transfer 45 2983
[8] Govier G W and Aziz K 1972 The Flow of ComplexMixtures in Pipes (New York: Krieger)
[9] Yu B M and Li J H 2004 Chin. Phys. Lett. 211569
[10] Yu B M 2005 Chin. Phys. Lett. 22 158 |
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