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Modeling of hydrophobic surfaces by the Stokes problem with the stick-slip boundary conditions

KUČERA Radek, ŠÁTEK Václav, HASLINGER Jaroslav, FIALOVÁ Simona and POCHYLÝ František. Modeling of hydrophobic surfaces by the Stokes problem with the stick-slip boundary conditions. Journal of Fluids Engineering, vol. 2017, no. 139, pp. 1-9. ISSN 0098-2202.
Type
journal article
Language
english
Authors
Kučera Radek, prof. RNDr., Ph.D. (VŠB-TUO)
Šátek Václav, Ing., Ph.D. (DITS FIT BUT)
Haslinger Jaroslav (CUNI)
Fialová Simona, Doc. Ing., Ph.D. (FME BUT)
Pochylý František, prof. Ing., CSc. (FME BUT)
Keywords
Stokes problem, stick-slip boundary condition, interior point algorithm, hydrophobic surfaces modelling
Abstract
Unlike the Navier boundary condition, the present paper deals with the case when the slip may occur only when the shear stress attains certain bound which is given a-priori. The discrete velocity-pressure model is derived using P1-bubble/P1 elements. To release the impermeability condition and to regularize the non-smooth term characterizing the stick-slip behavior in the algebraic formulation, two additional vectors of Lagrange multipliers were introduced.
The resulting minimization problem in terms of the dual variables (the pressure, the normal and shear stress) is solved by the interior type method.
Published
2017
Pages
1-9
Journal
Journal of Fluids Engineering, vol. 2017, no. 139, ISSN 0098-2202
Publisher
ASME Digital collection - The American Society of Mechanical Engineers
DOI
BibTeX
@ARTICLE{FITPUB11050,
   author = "Radek Ku\v{c}era and V\'{a}clav \v{S}\'{a}tek and Jaroslav Haslinger and Simona Fialov\'{a} and Franti\v{s}ek Pochyl\'{y}",
   title = "Modeling of hydrophobic surfaces by the Stokes problem with the stick-slip boundary conditions",
   pages = "1--9",
   journal = "Journal of Fluids Engineering",
   volume = 2017,
   number = 139,
   year = 2017,
   ISSN = "0098-2202",
   doi = "10.1115/1.4034199",
   language = "english",
   url = "https://www.fit.vut.cz/research/publication/11050"
}
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