Detail výsledku
Modeling of hydrophobic surfaces by the Stokes problem with the stick-slip boundary conditions
Šátek Václav, Ing., Ph.D., UITS (FIT)
Haslinger Jaroslav
Fialová Simona, doc. Ing., Ph.D., EÚ OFE (FSI)
Pochylý František, prof. Ing., CSc., EÚ OFE (FSI), NCK en - STS (FSI)
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.
Stokes problem, stick-slip boundary condition, interior point algorithm, hydrophobic surfaces modelling
@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"
}