Journal
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER
Volume 55, Issue 5-6, Pages 1457-1465Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.ijheatmasstransfer.2011.09.057
Keywords
Contact angle hysteresis; Volume of fluid; Drop shape; Drop profile; Contact line; Critical size
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Funding
- Cooling Technologies Research Center, an NSF Industry/University Cooperative Research Center at Purdue University
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The present study seeks to understand and predict droplet retention on smooth hydrophobic surfaces. The droplet shape and the advancing and receding contact angles are experimentally measured as a function of droplet size under the action of a gravitational force at different inclination angles. The advancing and receding contact angles are correlated with static contact angle and Bond number. A Volume of Fluid Continuous Surface Force model with varying contact angles along the triple contact line is developed to predict droplet shape. The model is first verified against a two dimensional analytical solution. It is then used to simulate the shape of a sessile droplet on an incline at various angles of inclination and to determine the critical angle of inclination as a function of droplet size. Good agreement is found between experimental measurements and predictions. The contact line profile and contact area are also predicted. The contact area predictions based on a spherical-cap assumption are compared to the numerical predictions and are found to underpredict the droplet contact area. (C) 2011 Elsevier Ltd. All rights reserved.
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