Abstract
The shapes of drops of given volume and density in contact with an inclined plate over a circular wetted area are found from the Young—Laplace equation by means of the finite element method. Contact angle variations around the contact circles at mechanical equilibrium are determined, and the maximum advanced and minimum receded contact angles are calculated as functions of plate inclination and drop volume. The largest inclination at which a drop of given volume can remain static is found. An approximate force balance used by previous investigators is evaluated and Larkin's one-parameter family of solutions that satisfy no simple boundary condition is discussed.
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