A Study on Wetting Phenomena and Measurement Method of a Contact Angle

The purpose of this study is to investigate the mechanism of wetting from a macroscopic viewpoint. The liquid meniscus formed under a conical solid surface is chosen as the subject of the theoretical analysis. The meniscus configuration is obtained by solving the Laplace equation numerically, and us...

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Published inNihon Kikai Gakkai rombunshuu. B hen Vol. 54; no. 504; pp. 1985 - 1993
Main Authors FUJITA, Hideomi, SASAKI, Hideharu, KATOH, Kenji
Format Journal Article
LanguageJapanese
Published The Japan Society of Mechanical Engineers 01.01.1988
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ISSN0387-5016
1884-8346
DOI10.1299/kikaib.54.1985

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Abstract The purpose of this study is to investigate the mechanism of wetting from a macroscopic viewpoint. The liquid meniscus formed under a conical solid surface is chosen as the subject of the theoretical analysis. The meniscus configuration is obtained by solving the Laplace equation numerically, and using this result, the total energy of the system is calculated. In the case of the half vertical angle of the cone φ=90° (horizontal plate), the system shows thermodynamic instability when the meniscus attaches to the solid surface at the contact angle. This fact, unlike a popular view, explains the wetting phenomena observed in this report. On the other hand, when 0°<φ<90°, the system shows thermodynamic stability at the contact angle. However, when the solid cone is held at a position higher then the critical height from a static liquid surface, the system becomes unstable. It is possible to measure the contact angle easily using this unstable phenomenon.
AbstractList The purpose of this study is to investigate the mechanism of wetting from a macroscopic viewpoint. The liquid meniscus formed under a conical solid surface is chosen as the subject of the theoretical analysis. The meniscus configuration is obtained by solving the Laplace equation numerically, and using this result, the total energy of the system is calculated. In the case of the half vertical angle of the cone φ=90° (horizontal plate), the system shows thermodynamic instability when the meniscus attaches to the solid surface at the contact angle. This fact, unlike a popular view, explains the wetting phenomena observed in this report. On the other hand, when 0°<φ<90°, the system shows thermodynamic stability at the contact angle. However, when the solid cone is held at a position higher then the critical height from a static liquid surface, the system becomes unstable. It is possible to measure the contact angle easily using this unstable phenomenon.
The purpose of this study is to investigate the mechanism of wetting from a macroscopic viewpoint. The liquid meniscus formed under a conical solid surface is chosen as the subject of the theoretical analysis. The meniscus configuration is obtained by solving the Laplace equation numerically, and using this result, the total energy of the system is calculated. In the case of the half vertical angle of the cone Phi = 90 degree (horizontal plate), the system shows thermodynamic instability when the meniscus attaches to the solid surface at the contact angle. This fact, unlike a popular view, explains the wetting phenomena observed in this report. On the other hand, when 0 degree < Phi < 90 degree , the system shows thermodynamic stability at the contact angle.
Author FUJITA, Hideomi
SASAKI, Hideharu
KATOH, Kenji
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References (4) Young, T., An Essay on the Cohesion of Fluids, Philos. Trans. R. Soc. London, 95 (1805), 65.
(1) 細川•河合•小松,ぬれにくい傾斜面上における連続水流の限界流量,機論,50-449, B(昭59),168.
(5) Johnson, R.E. and Dettre, R.H., Contact Angle Hysteresis 1, Study of an Idealized Rough Surface, Adv. Chem. Ser., No. 43 (1964), 112.
(2) Liaw, Shin-Pin and Dhir, V.K., Effect of Surface Wettability on Transition Boiling Heat Transfer from a Vertical Surface, Proc The 8th Int. Heat Transf. Conf. (1986), 2031.
(9) 小野,表面張力,(昭55),14,共立出版.
(6) Neumann, A.W. and Good, R.J., Thermodynamics of Contact Angles I, Heterogeneous Solid Surfaces, J. Colloid Interface Sci., 38-2 (1972), 341.
(7) Eick, J.D., Good, R.J. and Neumann, A.W., Ther modynamics of Contact Angles II, Rough Solid Surfaces, J. Colloid Interface Sci., 53-2 (1975), 235.
(10) 文献(9)の76ページ.
(3) 森•土方•水田,高性能蒸発面に関する基礎的研究,機論,50-451, B(昭59),888.
(8) Joanny, J.F. and de Gennes. P.G., A Model for Contact Angle Hysteresis, J. Chem. Phys., 81 (1984), 552.
References_xml – reference: (7) Eick, J.D., Good, R.J. and Neumann, A.W., Ther modynamics of Contact Angles II, Rough Solid Surfaces, J. Colloid Interface Sci., 53-2 (1975), 235.
– reference: (3) 森•土方•水田,高性能蒸発面に関する基礎的研究,機論,50-451, B(昭59),888.
– reference: (10) 文献(9)の76ページ.
– reference: (4) Young, T., An Essay on the Cohesion of Fluids, Philos. Trans. R. Soc. London, 95 (1805), 65.
– reference: (5) Johnson, R.E. and Dettre, R.H., Contact Angle Hysteresis 1, Study of an Idealized Rough Surface, Adv. Chem. Ser., No. 43 (1964), 112.
– reference: (1) 細川•河合•小松,ぬれにくい傾斜面上における連続水流の限界流量,機論,50-449, B(昭59),168.
– reference: (8) Joanny, J.F. and de Gennes. P.G., A Model for Contact Angle Hysteresis, J. Chem. Phys., 81 (1984), 552.
– reference: (6) Neumann, A.W. and Good, R.J., Thermodynamics of Contact Angles I, Heterogeneous Solid Surfaces, J. Colloid Interface Sci., 38-2 (1972), 341.
– reference: (9) 小野,表面張力,(昭55),14,共立出版.
– reference: (2) Liaw, Shin-Pin and Dhir, V.K., Effect of Surface Wettability on Transition Boiling Heat Transfer from a Vertical Surface, Proc The 8th Int. Heat Transf. Conf. (1986), 2031.
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Snippet The purpose of this study is to investigate the mechanism of wetting from a macroscopic viewpoint. The liquid meniscus formed under a conical solid surface is...
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StartPage 1985
SubjectTerms fluid mechanics
liquids
measurement
Measurement Method
physical properties
Title A Study on Wetting Phenomena and Measurement Method of a Contact Angle
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