In this paper, we develop a solution for the shape of an axisymmetric inhomogeneous sessile-drop. We assume that the volume and the radius contact-line of the drop were known. In order to determine the shape of the drop, here we use the variational calculus approach to minimize the total energy. The present approach is proposed to obtain numerical solution efficiently. For the case of a homogenous sessile-drop, we compare our results to the well-known numerical solutions of the Young-Laplace equation and both results are quite in agreement.
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