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Analysis of a Local Hydrodynamic Model with Marangoni Effect

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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 (HFSM) (Navier–Stokes) coupled with a mesoscopic local surface model (LSM). 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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Authors and Affiliations

  1. Laboratoire de Modelisation et Calcul (LMC-IMAG), France

    J. Monnier & P. Witomski

Authors
  1. J. Monnier
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  2. P. Witomski
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Monnier, J., Witomski, P. Analysis of a Local Hydrodynamic Model with Marangoni Effect. Journal of Scientific Computing 21, 369–403 (2004). https://doi.org/10.1007/s10915-004-4095-y

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  • DOI: https://doi.org/10.1007/s10915-004-4095-y

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