Sessile Droplet Evaporation on Wall with Radial Temperature Gradient

Droplet evaporation coupled with gravity and surface tension on a wall with the radial temperature gradients is numerically studied with the arbitrary Lagrangian‒Eulerian method. The influence of the wall temperature distribution on the droplet evaporation process, which is less considered in the ex...

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Main Authors: Z.G. Lei, C. Q. Shen, C. C. Song, F. Yao, X. D. Liu
Format: Article
Language:English
Published: Isfahan University of Technology 2024-02-01
Series:Journal of Applied Fluid Mechanics
Subjects:
Online Access:https://www.jafmonline.net/article_2408_d5ab59fc311d839bdf7c6cd16d22c621.pdf
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author Z.G. Lei
C. Q. Shen
C. C. Song
F. Yao
X. D. Liu
author_facet Z.G. Lei
C. Q. Shen
C. C. Song
F. Yao
X. D. Liu
author_sort Z.G. Lei
collection DOAJ
description Droplet evaporation coupled with gravity and surface tension on a wall with the radial temperature gradients is numerically studied with the arbitrary Lagrangian‒Eulerian method. The influence of the wall temperature distribution on the droplet evaporation process, which is less considered in the existing literature, is mainly discussed. The droplet temperature coefficient of the surface tension and the viscosity on the droplet profile evolution, flow, heat and mass transfer characteristic are also discussed. The results indicate that the droplets become flat first and then retract under the gravity and Marangoni convection during droplet evaporation. There are two high-velocity regions inside the evaporating droplet. One region is at the droplet axis, in which fluid flows to the wall from the droplet top. The other region is near the droplet surface, where fluid flows to the droplet top. There are turning points on the two sides of which the influence of wall temperature distribution on the ratio between the droplet height and the radius of the three-phase contact line (h/Rc), the velocity in the droplet and the surface temperature converts. All of them are larger before the turning point when the wall temperature slope is positive. After the turning point, these are reversed. For both h/Rc and average surface temperature, there is one turning point, which are t*=1.63×10-4 and t*=1.05×10-4, respectively. For maximum velocity and average velocity in droplet, there are two turning points, which are both t*=1.63×10-4 and t*=1.7×10-5. The droplet morphology changes more obviously when it is with a greater temperature coefficient of surface tension. Moreover, the turning point is delayed from t*=6.41×10-5 while α is 8 K/m to t*=7.91×10-5 while α is -8 K/m, which indicates that the negative wall temperature slope is beneficial to inhibit the Marangoni effect on droplet evaporation.
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spelling doaj.art-fc14ba56b0b44759b55ff9cf23bb4e512024-02-26T10:37:22ZengIsfahan University of TechnologyJournal of Applied Fluid Mechanics1735-35721735-36452024-02-011751083109810.47176/jafm.17.05.21932408Sessile Droplet Evaporation on Wall with Radial Temperature GradientZ.G. Lei0C. Q. Shen1C. C. Song2F. Yao3X. D. Liu4Zhejiang Juhua Technology Center Co., Ltd, Quzhou 324004, PR ChinaCollege of Electrical, Energy and Power Engineering, Yangzhou University, Yangzhou 225127, PR ChinaCollege of Electrical, Energy and Power Engineering, Yangzhou University, Yangzhou 225127, PR ChinaJiangsu Key Laboratory of Micro and Nano Heat Fluid Flow Technology and Energy Application, School of Environmental Science and Engineering, Suzhou University of Science and Technology, Suzhou, Jiangsu 215009, PR ChinaZhejiang Juhua Technology Center Co., Ltd, Quzhou 324004, PR ChinaDroplet evaporation coupled with gravity and surface tension on a wall with the radial temperature gradients is numerically studied with the arbitrary Lagrangian‒Eulerian method. The influence of the wall temperature distribution on the droplet evaporation process, which is less considered in the existing literature, is mainly discussed. The droplet temperature coefficient of the surface tension and the viscosity on the droplet profile evolution, flow, heat and mass transfer characteristic are also discussed. The results indicate that the droplets become flat first and then retract under the gravity and Marangoni convection during droplet evaporation. There are two high-velocity regions inside the evaporating droplet. One region is at the droplet axis, in which fluid flows to the wall from the droplet top. The other region is near the droplet surface, where fluid flows to the droplet top. There are turning points on the two sides of which the influence of wall temperature distribution on the ratio between the droplet height and the radius of the three-phase contact line (h/Rc), the velocity in the droplet and the surface temperature converts. All of them are larger before the turning point when the wall temperature slope is positive. After the turning point, these are reversed. For both h/Rc and average surface temperature, there is one turning point, which are t*=1.63×10-4 and t*=1.05×10-4, respectively. For maximum velocity and average velocity in droplet, there are two turning points, which are both t*=1.63×10-4 and t*=1.7×10-5. The droplet morphology changes more obviously when it is with a greater temperature coefficient of surface tension. Moreover, the turning point is delayed from t*=6.41×10-5 while α is 8 K/m to t*=7.91×10-5 while α is -8 K/m, which indicates that the negative wall temperature slope is beneficial to inhibit the Marangoni effect on droplet evaporation.https://www.jafmonline.net/article_2408_d5ab59fc311d839bdf7c6cd16d22c621.pdfdroplet evaporationradial temperature gradientmarangoni convectionarbitrary lagrangian‒eulerian methodsimulation
spellingShingle Z.G. Lei
C. Q. Shen
C. C. Song
F. Yao
X. D. Liu
Sessile Droplet Evaporation on Wall with Radial Temperature Gradient
Journal of Applied Fluid Mechanics
droplet evaporation
radial temperature gradient
marangoni convection
arbitrary lagrangian‒eulerian method
simulation
title Sessile Droplet Evaporation on Wall with Radial Temperature Gradient
title_full Sessile Droplet Evaporation on Wall with Radial Temperature Gradient
title_fullStr Sessile Droplet Evaporation on Wall with Radial Temperature Gradient
title_full_unstemmed Sessile Droplet Evaporation on Wall with Radial Temperature Gradient
title_short Sessile Droplet Evaporation on Wall with Radial Temperature Gradient
title_sort sessile droplet evaporation on wall with radial temperature gradient
topic droplet evaporation
radial temperature gradient
marangoni convection
arbitrary lagrangian‒eulerian method
simulation
url https://www.jafmonline.net/article_2408_d5ab59fc311d839bdf7c6cd16d22c621.pdf
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