Publication detail

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

KUČERA, R. ŠÁTEK, V. HASLINGER, J. FIALOVÁ, S. POCHYLÝ, F.

Original Title

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

Type

journal article in Web of Science

Language

English

Original 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.

Keywords

Stokes problem, stick-slip boundary condition, interior point algorithm, hydrophobic surfaces modelling

Authors

KUČERA, R.; ŠÁTEK, V.; HASLINGER, J.; FIALOVÁ, S.; POCHYLÝ, F.

Released

26. 1. 2017

ISBN

0098-2202

Periodical

JOURNAL OF FLUIDS ENGINEERING-TRANSACTIONS OF THE ASME

Year of study

2017

Number

139

State

United States of America

Pages from

1

Pages to

9

Pages count

9

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"
}