NDLI: Volume evolution of small sessile droplets evaporating in stick-slip mode

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Volume evolution of small sessile droplets evaporating in stick-slip mode

Content Provider	World Health Organization (WHO)-Global Index Medicus
Author	Hu, Dinghua Wu, Huiying
Description	Country affiliation: China Author Affiliation: Hu D ( Key Laboratory for Power Machinery and Engineering of Ministry of Education, School of Mechanical Engineering, Shanghai Jiao Tong University, Shanghai 200240, China.); Wu H ( Key Laboratory for Power Machinery and Engineering of Ministry of Education, School of Mechanical Engineering, Shanghai Jiao Tong University, Shanghai 200240, China.)
Abstract	This work is aimed at developing a simple and efficient predictive model and revealing the volume evolution behavior of small sessile droplets evaporating in stick-slip (SS) mode, covering a wide range of initial $ ( θ _{ 0 } ) $ and receding $ ( θ _{ rec } ) $ contact angles $ ( 0 ^{ ∘ } < θ _{ rec } ≤ θ _{ 0 } < 180 ^{ ∘ } ) $ . For this purpose, simple closed-form expressions for the evolutions of the contact angle and contact radius of droplets evaporating in SS mode are first developed, and are then validated with the experimental data in the literature. With the proposed expressions, the volume evolutions of evaporating droplets with different $ θ _{ 0 } $ and $ θ _{ rec } $ are predicted and analyzed. The results show that on a hydrophilic surface $ ( θ _{ 0 } ≤ 90 ^{ ∘ } ) $ , the volume evolution of droplets in SS mode always occurs in a way between the constant contact radius (CCR) and constant contact angle (CCA) modes (i.e., two extreme modes); however, on a hydrophobic surface $ ( θ _{ 0 } > 90 ^{ ∘ } ) $ , as $ θ _{ rec } $ increases from 0 to $ θ _{ 0 } $ , the volume evolution of droplets in SS mode first departs from the CCR mode, then approaches the SS mode with $ θ _{ rec } = 90 ^{ ∘ } $ , and finally returns to the CCA mode. More interestingly, the initially identical droplets evaporating on hydrophobic surfaces with different receding contact angles $ ( θ _{ rec } = 90 ^{ ∘ } ± Δ θ ) $ can even have approximately the same volume evolution behavior. It is also found that the widely accepted 2/3 law is applicable only for volume evolution of droplets in SS mode with large initial contact angle or small contact angle hysteresis, with the predicted deviation less than 1.5% for $ θ _{ 0 } ≥ 150 ^{ ∘ } $ or $ θ _{ 0 } ≥ 50 ^{ ∘ } $ when $ θ _{ 0 } − θ _{ rec } ≤ 15 ^{ ∘ } $ . Finally, a physical interpretation for the volume evolution behaviors of droplets in SS mode is proposed.
File Format	HTM / HTML
ISSN	24700045
e-ISSN	24700053
Journal	Physical Review E
Volume Number	93
Language	English
Publisher	American Physical Society
Publisher Date	2016-04-01
Publisher Place	United States
Access Restriction	Open
Subject Keyword	Statistical and Nonlinear Physics many-body systems Condensed Matter Physics
Content Type	Text
Resource Type	Article
Subject	Statistics and Probability Statistical and Nonlinear Physics Condensed Matter Physics

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