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Extra info for Advanced Materials and Engineering Applications
3. (4) 24 Advanced Materials and Engineering Applications Table 2 Equivalent heights and their functional coefficients (units of [mm]) r Eq. 06038 Fig. 3 Fitting cures of equivalent heights corresponding to functions in Table 2. 4 Modeling of contact angle Considering the flaw of Jurin formula, equivalent height function H(r) is introduced into contact angle model: 2σ cos θ = ρgh[h + H (r )] , r here parameters of H(r) corresponding to given material systems, Table 2. 25[mm] on the methods introduced above produced the measurements of liquid column heights, just as recorded in Table 3.
Z. Huang, Why does not the liquid column in capillarity rise to the expected height? J. College Physics. 18 (1999) 12-13. W. Li, Y. Z. Wang, et al, Another method for measuring the height in a capillary tube, J. College Physics. 15 (1996) 20-21.  J. Li, Errors in measuring the surface tension coefficient of pure water with capillary tube, J. Physics Experimentation. 23 (2003) 45-47. R. Y. L. Q. Lu, Beijing, 1994. cn (corresponding author) Keywords: cloak, transformation optics, transformation acoustics, transformation elastodynamics Abstract.
Jurin, An account of some new experiments, relating to the action of glass tubes upon water and quicksilver, J. Philosophical Transactions. 30 (1717-1719) 1083-1096. Q. P. Y. Geng, Beijing, 2010.  L. Rayleigh, On the theory of the capillary tube, J. Proceedings of Royal Society of London Series A. 92 (1916) 184-195. Z. Huang, Why does not the liquid column in capillarity rise to the expected height? J. College Physics. 18 (1999) 12-13. W. Li, Y. Z. Wang, et al, Another method for measuring the height in a capillary tube, J.