Nucleation of wetting films on cylindrical and spherical substrates: A numerical study by the string method

Handle URI:
http://hdl.handle.net/10754/552736
Title:
Nucleation of wetting films on cylindrical and spherical substrates: A numerical study by the string method
Authors:
Qiu, Chunyin; Qian, Tiezheng
Abstract:
Using the mean-field diffuse-interface model for liquid-vapor system and employing the numerical string method, we study the critical nuclei involved in the prewetting transitions on curved substrates. We first introduce three distinct kinds of critical nuclei, namely, the disklike, bandlike, and layerlike ones, which respectively correspond to three possible growth modes of wettingfilms. We show the disklike growth mode to be the only mode for infinite planar substrates. We then turn to cylindrical and spherical substrates, the two simplest but most important geometries in the real world. We focus on the critical nuclei of finite size, through which the wettingfilms may be formed with finite thermodynamic probabilities. It is shown that the disklike growth mode is always the most probable for wettingfilmnucleation and growth as long as a disklike critical nucleus exists. It is also shown that on a cylindrical substrate, the disklike critical nucleus can no longer exist if the substrate radius is smaller than some critical value, comparable to the radius of the disklike critical nucleus on planar substrate. We find that on a cylindrical substrate whose radius is below the critical value, the nucleation and growth of a wettingfilm can only occur through the bandlike critical nucleus. It is worth emphasizing that the results concerning the bandlike and layerlike growth modes can only be obtained from the diffuse-interface model, beyond the macroscopic description based on the line and surface tensions.
KAUST Department:
Department of Mathematics and Joint KAUST-HKUST Micro/Nano-Fluidics Laboratory
Citation:
Nucleation of wetting films on cylindrical and spherical substrates: A numerical study by the string method 2009, 131 (12):124708 The Journal of Chemical Physics
Publisher:
AIP Publishing
Journal:
The Journal of Chemical Physics
Issue Date:
25-Sep-2009
DOI:
10.1063/1.3239462
Type:
Article
ISSN:
00219606
Additional Links:
http://scitation.aip.org/content/aip/journal/jcp/131/12/10.1063/1.3239462
Appears in Collections:
Articles

Full metadata record

DC FieldValue Language
dc.contributor.authorQiu, Chunyinen
dc.contributor.authorQian, Tiezhengen
dc.date.accessioned2015-05-14T06:28:02Zen
dc.date.available2015-05-14T06:28:02Zen
dc.date.issued2009-09-25en
dc.identifier.citationNucleation of wetting films on cylindrical and spherical substrates: A numerical study by the string method 2009, 131 (12):124708 The Journal of Chemical Physicsen
dc.identifier.issn00219606en
dc.identifier.doi10.1063/1.3239462en
dc.identifier.urihttp://hdl.handle.net/10754/552736en
dc.description.abstractUsing the mean-field diffuse-interface model for liquid-vapor system and employing the numerical string method, we study the critical nuclei involved in the prewetting transitions on curved substrates. We first introduce three distinct kinds of critical nuclei, namely, the disklike, bandlike, and layerlike ones, which respectively correspond to three possible growth modes of wettingfilms. We show the disklike growth mode to be the only mode for infinite planar substrates. We then turn to cylindrical and spherical substrates, the two simplest but most important geometries in the real world. We focus on the critical nuclei of finite size, through which the wettingfilms may be formed with finite thermodynamic probabilities. It is shown that the disklike growth mode is always the most probable for wettingfilmnucleation and growth as long as a disklike critical nucleus exists. It is also shown that on a cylindrical substrate, the disklike critical nucleus can no longer exist if the substrate radius is smaller than some critical value, comparable to the radius of the disklike critical nucleus on planar substrate. We find that on a cylindrical substrate whose radius is below the critical value, the nucleation and growth of a wettingfilm can only occur through the bandlike critical nucleus. It is worth emphasizing that the results concerning the bandlike and layerlike growth modes can only be obtained from the diffuse-interface model, beyond the macroscopic description based on the line and surface tensions.en
dc.publisherAIP Publishingen
dc.relation.urlhttp://scitation.aip.org/content/aip/journal/jcp/131/12/10.1063/1.3239462en
dc.rightsArchived with thanks to The Journal of Chemical Physicsen
dc.titleNucleation of wetting films on cylindrical and spherical substrates: A numerical study by the string methoden
dc.typeArticleen
dc.contributor.departmentDepartment of Mathematics and Joint KAUST-HKUST Micro/Nano-Fluidics Laboratoryen
dc.identifier.journalThe Journal of Chemical Physicsen
dc.eprint.versionPublisher's Version/PDFen
dc.contributor.institutionProgram in Nano Science and Technology, Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong Kongen
dc.contributor.institutionDepartment of Mathematics and Joint KAUST-HKUST Micro/Nano-Fluidics Laboratory, Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong Kongen
kaust.authorQian, Tiezhengen
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