Abstract

The analytically insoluble second-order differential equation describing the profile of axisymmetric liquid—fluid interfaces in a gravitational field is of interest for both interfacial tension and contactangle determination. A recent paper by the author described an approximate perturbation solution to the equation for sufficiently small sessile (or pendant) drops of contact angle, θ, <90°. This note describes a method to simplify further the perturbation solution and thus render its application easier in contact-angle evaluation. The range of validity of the new equation is investigated by comparison with accurate computer-calculated data.

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