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Dynamic contact angle of a liquid spreading on an unsaturated wettable porous substrate
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Shikhmurzaev, Yulii D. and Sprittles, James E. (2013) Dynamic contact angle of a liquid spreading on an unsaturated wettable porous substrate. Journal of Fluid Mechanics, 715 . pp. 273-282. doi:10.1017/jfm.2012.517 ISSN 0022-1120.
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Official URL: http://dx.doi.org/10.1017/jfm.2012.517
Abstract
The spreading of an incompressible viscous liquid over an isotropic homogeneous unsaturated porous substrate is considered. It is shown that, unlike the dynamic wetting of an impermeable solid substrate, where the dynamic contact angle has to be specified as a boundary condition in terms of the wetting velocity and other flow characteristics, the ‘effective’ dynamic contact angle on an unsaturated porous substrate is completely determined by the requirement of existence of a solution, i.e. the absence of a non-integrable singularity in the spreading fluid’s pressure at the ‘effective’ contact line. The obtained velocity dependence of the ‘effective’ contact angle determines the critical point at which a transition to a different flow regime takes place, where the fluid above the substrate stops spreading whereas the wetting front inside it continues to propagate.
Item Type: | Journal Article | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
Library of Congress Subject Headings (LCSH): | Fluid mechanics, Wetting | ||||
Journal or Publication Title: | Journal of Fluid Mechanics | ||||
Publisher: | Cambridge University Press | ||||
ISSN: | 0022-1120 | ||||
Official Date: | 2013 | ||||
Dates: |
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Volume: | 715 | ||||
Number of Pages: | 10 | ||||
Page Range: | pp. 273-282 | ||||
DOI: | 10.1017/jfm.2012.517 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access | ||||
Open Access Version: |
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