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Dynamic contact angles in CFD simulations

Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The accurate modelling of contact angle properties plays an important role in the simulation of micro flows. We show that computational fluid dynamics (CFD) results of moving contact line problems, however, show a pronounced mesh dependence which is partly inherent to the modelling approach since the (non-integrable) viscous stress divergence at the three-phase contact line is commonly neglected in standard CFD simulations. Moreover, the numerical description of contact angles suffers from artificial diffusion for the used voiume-of-fluid method. Introduction of a macroscopic slip range hi combination with a localised body force close to the contact line turns out to remedy both problems. Considering capillary filling as an example we show that accurate, mesh independent solutions arc obtained already on coarse meshes.
Rocznik
Tom
Strony
131--138
Opis fizyczny
Bibliogr. 19 poz.
Twórcy
  • Institut für Mikrotechnik Mainz (IMM), Carl-Zeiss Strasse 18-20, D-55129 Mainz, Germany
autor
  • Darmstadt University of Technology, Petersenstrasse 30,0-64287 Darmstadt, Germany
Bibliografia
  • 1. Reyes D.R., Iossifidis D., Auroux P.A., Manz A., Micro Total Analysis Systems. l. Introduction, theory, and technology, Anal. Chem. 2002, 74, 2623-2636.
  • 2. Auroux P.A., Iossifidis D., Reyes D.R., Manz A., Micro Total Analysis Systems. 2. Analytical standard operations and applications, Anal. Chem. 2002, 74, 2637-2652.
  • 3. Hessel V., Hardt S. Lowe H., Chemical Micro Process Engineering: Fundamentals, Modelling and Reactions, Wiley-VCH 2004.
  • 4. Huh C., Scriven L.E., Hydrodynamic model of steady movement of a solid/liquid/fluid contact line, J. Colloid Interface Sci. 1971, 35, 85-101.
  • 5. Hocking L.M., A moving fluid interface, Part 2. The removal of the force singularity by a slip flow, J. Fluid Mech. 1977, 79, 209-214.
  • 6. Huh C., Mason S.G., The steady movement of a liquid meniscus in a capillary tube, J. Colloid Interface Sci. 1977, 81, 401-419.
  • 7. Kistler S., (in:) Wettability, J.C. Berg (Ed.), Dekker 1993.
  • 8. de Gennes P.G., Wetting: Statics and Dynamics, Rev. Mod. Phys. 1985, 57, 827-862.
  • 9. Cox R.G., The dynamics of spreading of liquids on a solid surface. Part 1. Viscous flow, J. Fluid Mech. 1986, 168, 169-194.
  • 10. Quinte A., Halstenberg S., Eggert H., Peters R.P., Schon C., Mikrosystemtechnische Realisierung von medizinischen Teststreifen, Proceedings 8. Workshop ,,Methoden und Werkzeuge zum Entwurf von Mikrosystemen", Berlin 1999, Dec 2-3, 13-22.
  • 11. Bracke M., de Voeght F., Joos P., The kinetics of wetting: the dynamic contact angle, Progr. Colloid Polym. Sci. 1989, 79, 142-149.
  • 12. Numerical quadrature was done with the help of MATHEMATICA 4, Wolfram Research, Illinois, US.
  • 13. van Doormal J.P., Raithby G.D., Enhancements of the SIMPLE method for predicting incompressible fluid flows, Numerical Heat Transfer 1984, 7, 147-163.
  • 14. Ferziger J.H., Peric M., Computational Methods for Fluid Dynamics, Third Edition, Springer 2002.
  • 15. Brackbill J.U., Kothe D.B., Zemach C., A continuum method for modeling surface tension, J. Comp. Phys. 1992, 100, 335-354.
  • 16. Somalinga S., Bose A., Numerical investigation of boundary conditions for moving contact line problems, Phys. Fluids 2000, 12, 499-510.
  • 17. An infinite slip length (full slip, i.e. vanishing viscous stress) has been applied for the liquid phase, in the slip range of ± the noted distance below and above the position with volume fraction f = 0.5.
  • 18. Hoffmann R.L., A study of the advancing interface, J. Coll, Inter. Sci. 1975, 50, 228-24 l.
  • 19. Tanner L.H., The spreading of silicone oil drops on horizontal surfaces, J. Phy. D: Appl. Phys. 1979, 12, 1473-1484.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPP1-0076-0029
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