Publication Details

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

KUČERA, R.; ŠÁTEK, V.; HASLINGER, J.; FIALOVÁ, S.; POCHYLÝ, F. Modeling of hydrophobic surfaces by the Stokes problem with the stick-slip boundary conditions. JOURNAL OF FLUIDS ENGINEERING-TRANSACTIONS OF THE ASME, 2017, vol. 2017, no. 139, p. 1-9. ISSN: 0098-2202.

Type

journal article

Language

English

Authors

Kučera Radek, prof. RNDr., Ph.D.
Šátek Václav, Ing., Ph.D. (DITS)
Haslinger Jaroslav
Fialová Simona, doc. Ing., Ph.D. (EÚ OFE)
Pochylý František, prof. Ing., CSc. (EÚ OFE)

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-TRANSACTIONS OF THE ASME, vol. 2017, no. 139, ISSN 0098-2202

DOI

10.1115/1.4034199

UT WoS

000395119200006

EID Scopus

2-s2.0-84992391528

BibTeX

@article{BUT168512,
  author="Radek {Kučera} and Václav {Šátek} and Jaroslav {Haslinger} and Simona {Fialová} and František {Pochylý}",
  title="Modeling of hydrophobic surfaces by the Stokes problem with the stick-slip boundary conditions",
  journal="JOURNAL OF FLUIDS ENGINEERING-TRANSACTIONS OF THE ASME",
  year="2017",
  volume="2017",
  number="139",
  pages="1--9",
  doi="10.1115/1.4034199",
  issn="0098-2202"
}