Abstract
The shape of small sessile and pendant drops is investigated by means of a parameterisation of the Laplace capillary equation and the use of perturbation techniques. Matched asymptotic expansions are necessary for a full description of the drop shape. These solutions can then be used to determine contact angle or surface tension of a system from a measurement of two characteristic lengths of the drop. Solutions for double pendant drops are also presented.
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References
Chesters A.K., 1977, J.Fluid Mech., 81, 609.
Landau L.D., Lifshitz E.M., 1987, Fluid Mechanics,Pergamon.
O’Brien S.B.G.M., van den Brule, 1991, J. Chem. Soc: Faraday Trans. 1, 87, 1579.
O’Brien S.B.G.M., 1991, J.Fluid Mech., to appear.
Padday J.F., 1971, Phil.Trans.R.Soc.Lond. A269, 265.
Rienstra S.W., 1990, J.Engng.Maths, 24, 193.
Shanahan M.E.R., 1982, J.Chem.Soc., Faraday Trans 1, 78, 2701.
Shanahan M.E.R., 1984, J.Chem.Soc., Faraday Trans 1, 80, 37.
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© 1992 Springer Fachmedien Wiesbaden
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O’Brien, S.B.G.M. (1992). Small drops, surface tension and contact angle. In: Hodnett, F. (eds) Proceedings of the Sixth European Conference on Mathematics in Industry August 27–31, 1991 Limerick. European Consortium for Mathematics in Industry. Vieweg+Teubner Verlag, Wiesbaden. https://doi.org/10.1007/978-3-663-09834-8_45
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DOI: https://doi.org/10.1007/978-3-663-09834-8_45
Publisher Name: Vieweg+Teubner Verlag, Wiesbaden
Print ISBN: 978-3-663-09835-5
Online ISBN: 978-3-663-09834-8
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