摘要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.
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.
CAI Jian-Chao;YU Bo-Ming;MEI Mao-Fei;LUO Liang. Capillary Rise in a Single Tortuous Capillary[J]. 中国物理快报, 2010, 27(5): 54701-054701.
CAI Jian-Chao, YU Bo-Ming, MEI Mao-Fei, LUO Liang. Capillary Rise in a Single Tortuous Capillary. Chin. Phys. Lett., 2010, 27(5): 54701-054701.
[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
2010, Vol. 27 
