Contact line dynamics of two-dimensional evaporating drops on heated surfaces with temperature-dependent wettabilities
•Dynamics of contact line of an evaporating drop on a uniformly heated substrate is examined.•Contact line motion is controlled by the wettability of the substrate.•Contact line pinning and partial pinning are realised by changing sensitivity coefficients.•Contact line motion is effectively manipula...
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Veröffentlicht in: | International journal of heat and mass transfer 2019-01, Vol.128, p.1263-1279 |
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creator | Ye, Xuemin Zhang, Xiangshan Li, Minglan Li, Chunxi Dong, Shuai |
description | •Dynamics of contact line of an evaporating drop on a uniformly heated substrate is examined.•Contact line motion is controlled by the wettability of the substrate.•Contact line pinning and partial pinning are realised by changing sensitivity coefficients.•Contact line motion is effectively manipulated by sensitivity coefficient of solid-gas interface theoretically.
The dynamics of the evaporation of a sessile drop on a uniformly heated, horizontal, solid substrate is considered. Based on the lubrication theory and Navier slip condition, an evolution equation for the drop height of the two-dimensional drop is established. The effects of evaporation and the dependence of liquid–solid, solid–gas, and liquid–gas surface tensions on temperature are analysed. The present model indicates that the drop evolution is governed by capillary force, gravity, thermocapillary force, and evaporation. Numerical results show that gravity exerts a promoting effect on drop spreading, while capillary force and thermocapillary force inhibit drop spreading. The typical features, including contact line pinning, partial pinning, and depinning modes during drop evaporation, are illustrated by changing temperature sensitivity coefficients in the present model. The contact line motion is controlled by the wettability of the substrate and the temperature sensitivity coefficient of the solid–gas interface has a great influence on contact line dynamics. It is effective to manipulate the contact line during the volatile drop movement by regulating the temperature sensitivity coefficient of the solid–gas interface theoretically. However, the realisation of manipulation is highly dependent on the development of measurement techniques. |
doi_str_mv | 10.1016/j.ijheatmasstransfer.2018.09.073 |
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The dynamics of the evaporation of a sessile drop on a uniformly heated, horizontal, solid substrate is considered. Based on the lubrication theory and Navier slip condition, an evolution equation for the drop height of the two-dimensional drop is established. The effects of evaporation and the dependence of liquid–solid, solid–gas, and liquid–gas surface tensions on temperature are analysed. The present model indicates that the drop evolution is governed by capillary force, gravity, thermocapillary force, and evaporation. Numerical results show that gravity exerts a promoting effect on drop spreading, while capillary force and thermocapillary force inhibit drop spreading. The typical features, including contact line pinning, partial pinning, and depinning modes during drop evaporation, are illustrated by changing temperature sensitivity coefficients in the present model. The contact line motion is controlled by the wettability of the substrate and the temperature sensitivity coefficient of the solid–gas interface has a great influence on contact line dynamics. It is effective to manipulate the contact line during the volatile drop movement by regulating the temperature sensitivity coefficient of the solid–gas interface theoretically. However, the realisation of manipulation is highly dependent on the development of measurement techniques.</description><identifier>ISSN: 0017-9310</identifier><identifier>EISSN: 1879-2189</identifier><identifier>DOI: 10.1016/j.ijheatmasstransfer.2018.09.073</identifier><language>eng</language><publisher>Oxford: Elsevier Ltd</publisher><subject>Coefficients ; Contact line ; Depinning ; Evaporating drop ; Evaporation ; Evolution ; Gravitation ; Heat transfer ; Lubricants & lubrication ; Lubrication ; Mathematical models ; Pinning ; Sensitivity ; Spreading ; Substrates ; Surface tension ; Temperature dependence ; Thermocapillary force ; Wettability</subject><ispartof>International journal of heat and mass transfer, 2019-01, Vol.128, p.1263-1279</ispartof><rights>2018</rights><rights>Copyright Elsevier BV Jan 2019</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c370t-9b866022c78ddf8e786d235122e7513512c58db4078f226b289edfa0d2bb3c603</citedby><cites>FETCH-LOGICAL-c370t-9b866022c78ddf8e786d235122e7513512c58db4078f226b289edfa0d2bb3c603</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://www.sciencedirect.com/science/article/pii/S0017931018305957$$EHTML$$P50$$Gelsevier$$H</linktohtml><link.rule.ids>314,776,780,3537,27901,27902,65306</link.rule.ids></links><search><creatorcontrib>Ye, Xuemin</creatorcontrib><creatorcontrib>Zhang, Xiangshan</creatorcontrib><creatorcontrib>Li, Minglan</creatorcontrib><creatorcontrib>Li, Chunxi</creatorcontrib><creatorcontrib>Dong, Shuai</creatorcontrib><title>Contact line dynamics of two-dimensional evaporating drops on heated surfaces with temperature-dependent wettabilities</title><title>International journal of heat and mass transfer</title><description>•Dynamics of contact line of an evaporating drop on a uniformly heated substrate is examined.•Contact line motion is controlled by the wettability of the substrate.•Contact line pinning and partial pinning are realised by changing sensitivity coefficients.•Contact line motion is effectively manipulated by sensitivity coefficient of solid-gas interface theoretically.
The dynamics of the evaporation of a sessile drop on a uniformly heated, horizontal, solid substrate is considered. Based on the lubrication theory and Navier slip condition, an evolution equation for the drop height of the two-dimensional drop is established. The effects of evaporation and the dependence of liquid–solid, solid–gas, and liquid–gas surface tensions on temperature are analysed. The present model indicates that the drop evolution is governed by capillary force, gravity, thermocapillary force, and evaporation. Numerical results show that gravity exerts a promoting effect on drop spreading, while capillary force and thermocapillary force inhibit drop spreading. The typical features, including contact line pinning, partial pinning, and depinning modes during drop evaporation, are illustrated by changing temperature sensitivity coefficients in the present model. The contact line motion is controlled by the wettability of the substrate and the temperature sensitivity coefficient of the solid–gas interface has a great influence on contact line dynamics. It is effective to manipulate the contact line during the volatile drop movement by regulating the temperature sensitivity coefficient of the solid–gas interface theoretically. However, the realisation of manipulation is highly dependent on the development of measurement techniques.</description><subject>Coefficients</subject><subject>Contact line</subject><subject>Depinning</subject><subject>Evaporating drop</subject><subject>Evaporation</subject><subject>Evolution</subject><subject>Gravitation</subject><subject>Heat transfer</subject><subject>Lubricants & lubrication</subject><subject>Lubrication</subject><subject>Mathematical models</subject><subject>Pinning</subject><subject>Sensitivity</subject><subject>Spreading</subject><subject>Substrates</subject><subject>Surface tension</subject><subject>Temperature dependence</subject><subject>Thermocapillary force</subject><subject>Wettability</subject><issn>0017-9310</issn><issn>1879-2189</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2019</creationdate><recordtype>article</recordtype><recordid>eNqNkD9PwzAQxS0EEqXwHSyxsCTYTps4G6jiryqxwGw59oU6SuxgO6349jgqGwvT3el-93TvIXRDSU4JLW-73HQ7kHGQIUQvbWjB54xQnpM6J1VxghaUV3XGKK9P0YIQWmV1Qck5ugihm0eyKhdov3E2ShVxbyxg_W3lYFTArsXx4DJtBrDBOCt7DHs5Oi-jsZ9YezcmyOL5A9A4TL6VCgI-mLjDEYYREjl5yDSMYDXYiA8Qo2xMb6KBcInOWtkHuPqtS_Tx-PC-ec62b08vm_ttpoqKxKxueFkSxlTFtW45VLzUrFhTxqBa07lRa66bFal4y1jZMF6DbiXRrGkKVZJiia6PuqN3XxOEKDo3-WQnCJbuE1HTIlF3R0p5F4KHVozeDNJ_C0rEnLboxN-0xZy2ILVIaSeJ16MEJDd7k7ZBGbAKtPGgotDO_F_sB8o7mBk</recordid><startdate>201901</startdate><enddate>201901</enddate><creator>Ye, Xuemin</creator><creator>Zhang, Xiangshan</creator><creator>Li, Minglan</creator><creator>Li, Chunxi</creator><creator>Dong, Shuai</creator><general>Elsevier Ltd</general><general>Elsevier BV</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7TB</scope><scope>8FD</scope><scope>FR3</scope><scope>H8D</scope><scope>KR7</scope><scope>L7M</scope></search><sort><creationdate>201901</creationdate><title>Contact line dynamics of two-dimensional evaporating drops on heated surfaces with temperature-dependent wettabilities</title><author>Ye, Xuemin ; Zhang, Xiangshan ; Li, Minglan ; Li, Chunxi ; Dong, Shuai</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c370t-9b866022c78ddf8e786d235122e7513512c58db4078f226b289edfa0d2bb3c603</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2019</creationdate><topic>Coefficients</topic><topic>Contact line</topic><topic>Depinning</topic><topic>Evaporating drop</topic><topic>Evaporation</topic><topic>Evolution</topic><topic>Gravitation</topic><topic>Heat transfer</topic><topic>Lubricants & lubrication</topic><topic>Lubrication</topic><topic>Mathematical models</topic><topic>Pinning</topic><topic>Sensitivity</topic><topic>Spreading</topic><topic>Substrates</topic><topic>Surface tension</topic><topic>Temperature dependence</topic><topic>Thermocapillary force</topic><topic>Wettability</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Ye, Xuemin</creatorcontrib><creatorcontrib>Zhang, Xiangshan</creatorcontrib><creatorcontrib>Li, Minglan</creatorcontrib><creatorcontrib>Li, Chunxi</creatorcontrib><creatorcontrib>Dong, Shuai</creatorcontrib><collection>CrossRef</collection><collection>Mechanical & Transportation Engineering Abstracts</collection><collection>Technology Research Database</collection><collection>Engineering Research Database</collection><collection>Aerospace Database</collection><collection>Civil Engineering Abstracts</collection><collection>Advanced Technologies Database with Aerospace</collection><jtitle>International journal of heat and mass transfer</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Ye, Xuemin</au><au>Zhang, Xiangshan</au><au>Li, Minglan</au><au>Li, Chunxi</au><au>Dong, Shuai</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Contact line dynamics of two-dimensional evaporating drops on heated surfaces with temperature-dependent wettabilities</atitle><jtitle>International journal of heat and mass transfer</jtitle><date>2019-01</date><risdate>2019</risdate><volume>128</volume><spage>1263</spage><epage>1279</epage><pages>1263-1279</pages><issn>0017-9310</issn><eissn>1879-2189</eissn><abstract>•Dynamics of contact line of an evaporating drop on a uniformly heated substrate is examined.•Contact line motion is controlled by the wettability of the substrate.•Contact line pinning and partial pinning are realised by changing sensitivity coefficients.•Contact line motion is effectively manipulated by sensitivity coefficient of solid-gas interface theoretically.
The dynamics of the evaporation of a sessile drop on a uniformly heated, horizontal, solid substrate is considered. Based on the lubrication theory and Navier slip condition, an evolution equation for the drop height of the two-dimensional drop is established. The effects of evaporation and the dependence of liquid–solid, solid–gas, and liquid–gas surface tensions on temperature are analysed. The present model indicates that the drop evolution is governed by capillary force, gravity, thermocapillary force, and evaporation. Numerical results show that gravity exerts a promoting effect on drop spreading, while capillary force and thermocapillary force inhibit drop spreading. The typical features, including contact line pinning, partial pinning, and depinning modes during drop evaporation, are illustrated by changing temperature sensitivity coefficients in the present model. The contact line motion is controlled by the wettability of the substrate and the temperature sensitivity coefficient of the solid–gas interface has a great influence on contact line dynamics. It is effective to manipulate the contact line during the volatile drop movement by regulating the temperature sensitivity coefficient of the solid–gas interface theoretically. However, the realisation of manipulation is highly dependent on the development of measurement techniques.</abstract><cop>Oxford</cop><pub>Elsevier Ltd</pub><doi>10.1016/j.ijheatmasstransfer.2018.09.073</doi><tpages>17</tpages></addata></record> |
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subjects | Coefficients Contact line Depinning Evaporating drop Evaporation Evolution Gravitation Heat transfer Lubricants & lubrication Lubrication Mathematical models Pinning Sensitivity Spreading Substrates Surface tension Temperature dependence Thermocapillary force Wettability |
title | Contact line dynamics of two-dimensional evaporating drops on heated surfaces with temperature-dependent wettabilities |
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