| FUNDAMENTAL AREAS OF PHENOMENOLOGY(INCLUDING APPLICATIONS) |
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Capillary Rise in a Single Tortuous Capillary |
CAI Jian-Chao, YU Bo-Ming, MEI Mao-Fei, LUO Liang
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| chool of Physics, Huazhong University of Science and Technology, Wuhan 430074 |
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| Cite this article: |
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CAI Jian-Chao, YU Bo-Ming, MEI Mao-Fei et al 2010 Chin. Phys. Lett. 27 054701 |
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Abstract The impact of convolutedness of capillary on the capillary rise of wetting liquid in a single tortuous capillary is studied. By introducing tortuosity and fractal dimension for a tortuous capillary, analytical expression for time evolution of the height/weight of capillary rise is obtained. It is found that the accumulated weight of liquid imbibed into a single tortuous capillary is independent of the shape of a capillary in the early rising stage.
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| Keywords:
47.15.-x
05.45.Df
47.55.Nb
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Received: 21 October 2009
Published: 23 April 2010
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[1] Bell J M and Cameron F K 1906 J. Phys. Chem. 10 658
[2] Lucas R 1918 Kolloid-Zeitschrift 23 15
[3] Washburn E W 1921 Phys. Rev. 17 273
[4] Popescu M N et al 2008 Langmuir 24 12710
[5] Amico S C and Lekakou C 2002 Polym. Compos. 23 264
[6] Benavente D et al 2002 Trans. Porous Media 49 59
[7] Bear J 1972 Dynamics of Fluids in Porous Media (New York: Elsevier)
[8] Wu J S et al 2009 Chin. Phys. Lett. 26 064701
[9] Yu B M and Li J H 2004 Chin. Phys. Lett. 21 1569
[10] Wheatcraft S W et al 1988 Water Resour. Res. 24 566
[11] Majumdar A 1992 Annu. Rev. Heat. Transfer 4 51
[12] Yu B M 2005 Chin. Phys. Lett. 22 158
[13] Yu B M 2008 Appl. Mech. Rev. 61 050801
[14] Yun M J et al 2008 Chin. Phys. Lett. 25 616
[15] Yu B M et al 2002 In. J. Heat Mass Transfer 45 2983
[16] Yu B M, Cai J C and Zou M Q 2009 Vadose Zone J. 8 177
[17] Horváth V K and Stanley H E 1995 Phys. Rev. E 52 5166
[18] Wang X H et al 2002 Physica A 311 320
[19] Kwon T H et al 1996 Phys. Rev. E 54 685
[20] Balankin A S et al 2006 Phys. Rev. Lett. 96 056101
[21] Brú A and Pastor J M 2006 Geoderma 134 295
[22] Liu Z F et al 2003 Chin. Phys. Lett. 20 1969
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