A proof of the invariance of the contact angle in Electrowetting

2007/07/18 by C. Scheid, Scheid, C., P. Witomski +1
Mathematics · #49K10 #49K20 #49K30 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Optimization and Control (math.OC) #math.CA #math.OC #msc:49K10 #msc:49K20 #msc:49K30

paper · pdf · doi:10.48550/arxiv.0707.2669

28 pages, 9 figures

arxiv created 2007/07/18 · arxiv updated 2009/12/01

Abstract

We prove the invariance of the contact angle in liquid-solid wetting phenomena : an electrified droplet is spreading on a solid surface. The drop is minimizing its energy. We express the differential of this energy with respect to the shape of the drop and deduce necessary conditions for optimality . By variational method, using well-chosen test functions, we obtain the main result about the contact angle between the drop and the solid.

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