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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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Contributor : Jerome Monnier Connect in order to contact the contributor
Submitted on : Friday, February 15, 2008 - 4:15:21 PM
Last modification on : Thursday, January 20, 2022 - 5:32:02 PM
Long-term archiving on: : Thursday, May 20, 2010 - 10:15:20 PM


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Jerome Monnier, Patrick Witomski. Analysis of a Local Hydrodynamics Model with Marangoni effect. Journal of Scientific Computing, Springer Verlag, 2004, 21 (3), pp.369-403. ⟨10.1007/s10915-004-4095-y⟩. ⟨inria-00256567⟩



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