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Evaporation dynamics of sessile liquid drops in still air with constant contact radius
Authors:Friedhelm Schönfeld  Karl-Heinz Graf  Steffen Hardt  Hans-Jürgen Butt
Affiliation:1. Institut für Mikrotechnik Mainz GmbH (IMM), Carl-Zeiss-Strasse 18–20, 55129 Mainz, Germany;2. Max Planck Institute for Polymer Research, Ackermannweg 10, D-55128 Mainz, Germany;3. Institut für Nano- und Mikroprozesstechnik, Leibniz Universität Hannover, Callinstrasse 36, 30167 Hannover, Germany;1. Key Laboratory of Microgravity, Institute of Mechanics, Chinese Academy of Sciences, Beijing 100190, China;2. Aix Marseille Univ, CNRS, Centrale Marseille, M2P2, Marseille, France;3. University of Chinese Academy of Sciences, Beijing 100049, China;1. National Research Tomsk Polytechnic University, 30 Lenin Ave., Tomsk, 634050, Russia;2. Institute of Thermophysics Siberian Branch, Russian Academy of Sciences, 1 Lavrentiev Ave., Novosibirsk, 630090, Russia;1. School of Energy and Power Engineering, Chongqing University, Chongqing 400044, China;2. Key Laboratory of Low-grade Energy Utilization Technologies and Systems, Ministry of Education, Chongqing 400044, China;1. School of Mechanical Engineering, Shanghai Jiao Tong University, 800 Dong Chuan Road, Shanghai 200240, China;2. Shanghai Institute of Satellite Engineering, 3666 Yuanjiang Road, Shanghai 200240, China;1. Department of Mechanical Engineering, Eindhoven University of Technology, P.O. Box 513, 5600 MB Eindhoven, The Netherlands;2. Faculty EEMCS, University of Twente, P.O. Box 217, 7500 AE Enschede, The Netherlands;3. Department of Chemical Engineering and Chemistry, Eindhoven University of Technology, P.O. Box 513, 5600 MB Eindhoven, The Netherlands;4. Océ-Technologies B.V., P.O. Box 101, 5900 MA Venlo, The Netherlands
Abstract:Evaporation of sessile drops with constant wetting radius is investigated. In contrast to constant contact angle the temporal evaluation of the droplet volume can not be formulated in a closed form. We provide two approximations for initial contact angles below 90° which allow predicting the evaporation dynamics in practice easily. The derived linear approximation is suitable for small initial contact angles with a maximum relative deviation of 1% for contact angles below 30°. Further, we provide a non-linear algebraic approximation with a maximum relative error 0.3% in the entire range of contact angle considered.
Keywords:
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