Hysteresis of Contact Angle of Sessile Droplets
A theory of contact angle hysteresis on smooth, homogeneous solid substrates is developed in terms of shape of disjoining/conjoining pressure isotherm and quasi-equilibrium phenomena. It is shown that all contact angles, θ, in the range θr
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| Veröffentlicht in: | Mathematical modelling of natural phenomena 2015-01, Vol.10 (4), p.61-75 |
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| creator | Nepomnyashchy, A. A. Kuchin, I. Starov, V. |
| description | A theory of contact angle hysteresis on smooth, homogeneous solid substrates is developed in terms of shape of disjoining/conjoining pressure isotherm and quasi-equilibrium phenomena. It is shown that all contact angles, θ, in the range θr |
| doi_str_mv | 10.1051/mmnp/201510403 |
| format | Article |
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A. ; Kuchin, I. ; Starov, V.</creator><contributor>Nepomnyashchy, A. A.</contributor><creatorcontrib>Nepomnyashchy, A. A. ; Kuchin, I. ; Starov, V. ; Nepomnyashchy, A. A.</creatorcontrib><description><![CDATA[A theory of contact angle hysteresis on smooth, homogeneous solid substrates is developed in terms of shape of disjoining/conjoining pressure isotherm and quasi-equilibrium phenomena. It is shown that all contact angles, θ, in the range θr<θ<θa, which are different from the unique equilibrium value θe, correspond to the state of slow “microscopic” advancing or receding motion of the liquid if θe<θ<θa or θr<θ<θe, respectively. This “microscopic” motion almost abruptly becomes fast “macroscopic” advancing or receding motion after the contact angle reaches the critical values θa or θr, correspondingly. The values of the static receding, θr, and static advancing,θa, contact angles in cylindrical capillaries were calculated earlier, based on the shape of disjoining/conjoining pressure isotherm. It is shown that both advancing contact and receding contact angles of a droplet on a solid substrate depends on the drop volume and are not a unique characteristic of the liquid-solid system. The suggested mechanism of the contact angle hysteresis of droplets has direct experimental confirmation.]]></description><identifier>ISSN: 0973-5348</identifier><identifier>EISSN: 1760-6101</identifier><identifier>DOI: 10.1051/mmnp/201510403</identifier><language>eng</language><publisher>Les Ulis: EDP Sciences</publisher><subject>76B45 ; 76D05 ; 76D45 ; 76R50 ; 82D15 ; Capillaries ; Contact angle ; contact angle hysteresis ; Contact pressure ; Droplets ; Hysteresis ; Isotherms ; Liquid-solid systems ; Pressure ; Substrates ; surface forces</subject><ispartof>Mathematical modelling of natural phenomena, 2015-01, Vol.10 (4), p.61-75</ispartof><rights>2015. Notwithstanding the ProQuest Terms and conditions, you may use this content in accordance with the associated terms available at https://www.mmnp-journal.org/articles/mmnp/abs/2015/04/mmnp2015104p61/mmnp2015104p61.html .</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c345t-ca09cf7d8fde23e93aa10913865767a88faa03084d8c00ab0a9d6442a0d837053</citedby><cites>FETCH-LOGICAL-c345t-ca09cf7d8fde23e93aa10913865767a88faa03084d8c00ab0a9d6442a0d837053</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,780,784,27923,27924</link.rule.ids></links><search><contributor>Nepomnyashchy, A. A.</contributor><creatorcontrib>Nepomnyashchy, A. A.</creatorcontrib><creatorcontrib>Kuchin, I.</creatorcontrib><creatorcontrib>Starov, V.</creatorcontrib><title>Hysteresis of Contact Angle of Sessile Droplets</title><title>Mathematical modelling of natural phenomena</title><description><![CDATA[A theory of contact angle hysteresis on smooth, homogeneous solid substrates is developed in terms of shape of disjoining/conjoining pressure isotherm and quasi-equilibrium phenomena. It is shown that all contact angles, θ, in the range θr<θ<θa, which are different from the unique equilibrium value θe, correspond to the state of slow “microscopic” advancing or receding motion of the liquid if θe<θ<θa or θr<θ<θe, respectively. This “microscopic” motion almost abruptly becomes fast “macroscopic” advancing or receding motion after the contact angle reaches the critical values θa or θr, correspondingly. The values of the static receding, θr, and static advancing,θa, contact angles in cylindrical capillaries were calculated earlier, based on the shape of disjoining/conjoining pressure isotherm. It is shown that both advancing contact and receding contact angles of a droplet on a solid substrate depends on the drop volume and are not a unique characteristic of the liquid-solid system. The suggested mechanism of the contact angle hysteresis of droplets has direct experimental confirmation.]]></description><subject>76B45</subject><subject>76D05</subject><subject>76D45</subject><subject>76R50</subject><subject>82D15</subject><subject>Capillaries</subject><subject>Contact angle</subject><subject>contact angle hysteresis</subject><subject>Contact pressure</subject><subject>Droplets</subject><subject>Hysteresis</subject><subject>Isotherms</subject><subject>Liquid-solid systems</subject><subject>Pressure</subject><subject>Substrates</subject><subject>surface forces</subject><issn>0973-5348</issn><issn>1760-6101</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2015</creationdate><recordtype>article</recordtype><recordid>eNo9kM1rwzAMxc3YYKXrdefAzmkly47tY-m2ZlAY-6JH4yXOSNcmmZ3C-t8vpaO6SIjf00OPsVuEKYLE2W7XdDMOKBEE0AUbocogzRDwko3AKEolCX3NJjFuYChCQQAjNssPsffBxzombZUs2qZ3RZ_Mm6-tPy7efIz1MN6Httv6Pt6wq8pto5_89zH7eHx4X-Tp6nn5tJiv0oKE7NPCgSkqVeqq9Jy8IecQDJLOpMqU07pyDgi0KHUB4D7BmTITgjsoNSmQNGZ3p7tdaH_2PvZ20-5DM1hajsZwIYH4QE1PVBHaGIOvbBfqnQsHi2CPudhjLvacyyBIT4J6-Pr3TLvwbTNFSloNayuX65ec81dL9AfAUmLD</recordid><startdate>20150101</startdate><enddate>20150101</enddate><creator>Nepomnyashchy, A. 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| source | Elektronische Zeitschriftenbibliothek - Frei zugängliche E-Journals |
| subjects | 76B45 76D05 76D45 76R50 82D15 Capillaries Contact angle contact angle hysteresis Contact pressure Droplets Hysteresis Isotherms Liquid-solid systems Pressure Substrates surface forces |
| title | Hysteresis of Contact Angle of Sessile Droplets |
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