Abstract
This paper presents an extension of the Front Tracking method initially developed by the team of Pr G. Tryggvason to perform the direct numerical simulation of two-phase flows. The extension concerns the ability of such a method to take into account the motion of a contact line. The selected numerical model enables one to simulate moving contact line by bypassing the mathematical singularity with the use of a staggered grid. It does not pretend to solve the singularity, but allows physical tracking of interfaces in processes that involve contact angle hysteresis or dependency of this angle on the speed of displacement of the contact line. Calculations performed on three different situations illustrate the capability of such a simple numerical model of contact line.
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References
Carey Van, P. 1992 Liquid-vapour phase-change phenomena, Hemisphere Publishing Corporation.
Cox, R.G. 1986 The dynamics of the spreading of liquids on a solid surface. Part I. Viscous flow. J. Fluid Mech. 168, 169–194.
Duquennoy, C. 2000 Developpement d’une approche de simulation numerique directe de lebullition en paroi. PhD Thesis, INP Toulouse, France.
Dussan V., E. B. & Davis, S. H. 1974 On the motion of fluid-fluid interface along a solid surface. J. Fluid Mech. 65, 71–95.
Dussan V., E. B. 1979 On the spreading of liquids on solid surface: static and dynamic contact lines. Ann. Rev. Fluid. Mech. 11, 371–400.
Dussan V., E. B., Rame, E. & Garoff, S. 1991 On identifying the appropriate boundary conditions at a moving contact line: an experimental investigation. J. Fluid Mech. 230, 97–116.
Finlow, D. E., Kota, P. R. & Bose, A. 1996 Investigation of wetting hydrodynamics using numerical simulations. Phys. Fluids 8, 302–309.
Goodwin, R. & Homsy, G. 1991 Viscous flow down a slope in the vicinity of a contact line. Phys. Fluids A, 3, 515–528.
Jacqmin, D. 2000 Contact line dynamics of a diffuse fluid interface. J. Fluid Mech. 402, 57–88.
Jamet, D., Lebaigue, O., Coutris, N. & Delhaye, J. M., 2001 The second gradient method for the direct numerical simulation of liquid-vapour flows with phase-change. Accepted for publication in J. Comput. Phys.
Jamet, D., Lebaigue, O., Coutris, N. & Delhaye, J. M. 1998 Numerical description of a liquidvapour interface based on the second gradient theory and applied to modelling of evaporation and condensation. Proc. 3rd Int. Con! on Multiphase Flow (ICMF).
Lowndes, J. 1980 The numerical simulationof the steady movement of a fluid meniscus in a capillarytube. J. Fluid Mech. l01, 631–646.
Marsh, J. A. Garoff, S. & Dussan V., E. B. 1993 Dynamic Contact Angles and Hydrodynamics near a Moving Contact Line. Physical Rev. Lett., 70, 2778–2781.
Ngan, C. G. & Dussan V., E. B. 1989 On the dynamics of liquid spreading on solid surfaces. J. Fluid Mech. 209, 191–226.
Oliver, J. F. & Mason, S. G. 1977 Micro-spreading studies on rough surfaces by scanning electron microscopy. J. Colloid Interface Sci. 60, 480.
Shen, C. & Ruth, D. W. 1998 Experimental and numerical investigations of the interface profile close to a movingcontact line. Phys. Fluids 10, 789–799.
Shikhmurzaev, Y. D. 1997 Movingcontact lines in liquid/liquid/solid systems. J. Fluid Mech. 334, 211–249.
Sussman, M. Smereka, P. & Osher, S. 1994 A level set approach for computing solutions to incompressible two-phase flow. J. Comput. Phys. 114, 146–159.
Unverdi, S. O. & Tryggvason, G. 1992 A Front-Tracking method for viscous, incompressible, multi-fluid flows. J. Comput. Phys. 100, 25–37.
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© 2001 Springer Science+Business Media Dordrecht
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Duquennoy, C., Lebaigue, O., Magnaudet, J. (2001). A Numerical Model of Gas-Liquid-Solid Contact Line. In: King, A.C., Shikhmurzaev, Y.D. (eds) IUTAM Symposium on Free Surface Flows. Fluid Mechanics and Its Applications, vol 62. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-0796-2_11
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DOI: https://doi.org/10.1007/978-94-010-0796-2_11
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-3854-6
Online ISBN: 978-94-010-0796-2
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