Analysis of a Local Hydrodynamics Model with Marangoni effect

Abstract : We study a mathematical model treating of the dynamic contact line problem, supposed to describe the main features of the advancing triple line (rolling motion and variable contact angle) and to remove the singularity. The model is composed by a macroscopic hydrodynamic free surface flow model (Navier-Stokes) coupled with a mesoscopic local surface model. Detailed mathematical and numerical analysis of the 1D steady-state local surface model are done: existence and uniqueness of the exact and numerical solutions, extra properties of the derivatives, and convergence of finite element schemes. Some numerical results of the two models treated separately are presented for a 2D plunging tape configuration.
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Contributeur : Jerome Monnier <>
Soumis le : vendredi 15 février 2008 - 16:15:21
Dernière modification le : jeudi 11 janvier 2018 - 06:14:33
Document(s) archivé(s) le : jeudi 20 mai 2010 - 22:15:20


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  • HAL Id : inria-00256567, version 1



Jerome Monnier, Patrick Witomski. Analysis of a Local Hydrodynamics Model with Marangoni effect. J. Sc. Comp. (JSC), Springer, 2004. 〈inria-00256567〉



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