%0 Journal Article %1 citeulike:1870280 %A Gouin, Henri %D 2003 %J Continuum Mechanics and Thermodynamics %K moving-contact-line 76d45-capillarity-in-viscous-fluids 76t10-liquid-gas-two-phase-flows-bubbly-flows %N 6 %P 597--611 %R 10.1007/s00161-003-0137-1 %T The wetting problem of fluids on solid surfaces. Part 2: the contact angle hysteresis %U http://dx.doi.org/10.1007/s00161-003-0137-1 %V 15 %X In part 1 (Gouin, 13), we proposed a model of dynamics of wetting for slow movements near a contact line formed at the interface of two immiscible fluids and a solid when viscous dissipation remains bounded. The contact line is not a material line and a Young-Dupré equation for the apparent dynamic contact angle taking into account the line celerity was proposed. In this paper we consider a form of the interfacial energy of a solid surface in which many small oscillations are superposed on a slowly varying function. For a capillary tube, a scaling analysis of the microscopic law associated with the Young-Dupré dynamic equation yields a macroscopic equation for the motion of the contact line. The value of the deduced apparent dynamic contact angle yields for the average response of the line motion a phenomenon akin to the stick-slip motion of the contact line on the solid wall. The contact angle hysteresis phenomenon and the modelling of experimentally well-known results expressing the dependence of the apparent dynamic contact angle on the celerity of the line are obtained. Furthermore, a qualitative explanation of the maximum speed of wetting (and dewetting) can be given.

@article{citeulike:1870280, abstract = {{In part 1 (Gouin, [13]), we proposed a model of dynamics of wetting for slow movements near a contact line formed at the interface of two immiscible fluids and a solid when viscous dissipation remains bounded. The contact line is not a material line and a Young-Dupr\'{e} equation for the apparent dynamic contact angle taking into account the line celerity was proposed. In this paper we consider a form of the interfacial energy of a solid surface in which many small oscillations are superposed on a slowly varying function. For a capillary tube, a scaling analysis of the microscopic law associated with the Young-Dupr\'{e} dynamic equation yields a macroscopic equation for the motion of the contact line. The value of the deduced apparent dynamic contact angle yields for the average response of the line motion a phenomenon akin to the stick-slip motion of the contact line on the solid wall. The contact angle hysteresis phenomenon and the modelling of experimentally well-known results expressing the dependence of the apparent dynamic contact angle on the celerity of the line are obtained. Furthermore, a qualitative explanation of the maximum speed of wetting (and dewetting) can be given.}}, added-at = {2017-06-29T07:13:07.000+0200}, author = {Gouin, Henri}, biburl = {https://www.bibsonomy.org/bibtex/27e958b72b21cbf419aad2965d1c902dc/gdmcbain}, citeulike-article-id = {1870280}, citeulike-attachment-1 = {gouin_03_wetting_33736.pdf; /pdf/user/gdmcbain/article/1870280/33736/gouin_03_wetting_33736.pdf; 6f2d57ec811efdd833812b2439b4c9cd8856d3f4}, citeulike-linkout-0 = {http://dx.doi.org/10.1007/s00161-003-0137-1}, citeulike-linkout-1 = {http://www.springerlink.com/content/1m7k8d76rean9nwh}, comment = {(private-note)Circulated by SGM from hal.archives-ouvertes.fr}, day = 1, doi = {10.1007/s00161-003-0137-1}, file = {gouin_03_wetting_33736.pdf}, interhash = {177ec78b605123f54977aeb08a1f6c00}, intrahash = {7e958b72b21cbf419aad2965d1c902dc}, journal = {Continuum Mechanics and Thermodynamics}, keywords = {moving-contact-line 76d45-capillarity-in-viscous-fluids 76t10-liquid-gas-two-phase-flows-bubbly-flows}, month = nov, number = 6, pages = {597--611}, posted-at = {2009-05-13 05:08:24}, priority = {2}, timestamp = {2019-02-27T00:56:08.000+0100}, title = {The wetting problem of fluids on solid surfaces. {P}art 2: the contact angle hysteresis}, url = {http://dx.doi.org/10.1007/s00161-003-0137-1}, volume = 15, year = 2003 }