Shape profile of an inhomogeneous sessile drop using the variational method

K. Yulianti; A.Y. Gunawan

doi:10.1063/1.4983951

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Shape profile of an inhomogeneous sessile drop using the variational method

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K. Yulianti, A.Y. Gunawan

2017 AIP Conference Proceedings Vol. 1848 Conference paper Cited by 0 SDG 7SDG 16

Abstract

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. © 2017 Author(s).

Affiliations

Department of Mathematics Education, FPMIPA, Universitas Pendidikan Indonesia (UPI), Indonesia; Industrial and Financial Mathematics Research Group, Institut Teknologi Bandung (ITB), Indonesia

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