The Mathematical Institute, University of Oxford, Eprints Archive

On the shape of a small sessile drop and the measurement of contact angle.

O'Brien, B. G. M. and van den Brule, Ben H. A. A. On the shape of a small sessile drop and the measurement of contact angle. Faraday Trans. . (Unpublished)

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Abstract

Free liquid surfaces in equilibrium are described by the Laplace capillary equation with suitable boundary conditions generally given in terms of the contact angle. By a fortuitous formulation in the axisymmetric case, the second order ordinary differential equation can be reduced to a pair of coupled first order equations. For the case of a small liquid drop, the present formulation allows perturbation solutions to second order to be derived in closed form. Furthermore the solutions obtained can be used to calculate contact angles, if the height and maximum width of the drop is known, the method being equally simple whether the contact angle is less than or greater than 90 ͦ.

Item Type:Article
Subjects:D - G > Difference and functional equations
Research Groups:Oxford Centre for Industrial and Applied Mathematics
ID Code:1688
Deposited By: Helen Taylor
Deposited On:21 Mar 2013 08:36
Last Modified:29 May 2015 19:22

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