Numerical investigation of the dynamic influence of the contact line region on the macroscopic meniscus shape

Author:

Bazhlekov Ivan B.,Chesters Allan K.

Abstract

The influence of different boundary conditions applied in the contact line region on the outer meniscus shape is analysed by means of a finite-element numerical simulation of the steady movement of a liquid-gas meniscus in a capillary tube. The free-surface steady shape is obtained by solving the unsteady creeping-flow approximation of the Navier–Stokes equations starting from some initial shape. Comparisons of the outer solutions obtained using two different inner models, together with that published by Lowndes (1980), indicate the relative insensitivity of the outer solution to the type of model utilized in the contact line region.

Publisher

Cambridge University Press (CUP)

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Reference17 articles.

1. Gennes, P. G. de , Hua, X. & Levinson, P. 1990 Dynamics of wetting: local contact angles.J. Fluid Mech. 212,55.

2. Boender, W. , Chesters, A. K. & Zanden, A. J. J. van der 1991 An approximate analytical solution of the hydrodynamic problem associated with an advancing liquid–gas contact line. Intl J. Multiphase Flow 17,661.

3. Chesters, A. K. & Zanden, A. J. J. van der 1993 An approximate solution of the hydrodynamic problem associated with receding liquid-gas contact lines.Intl J. Multiphase Flow 19,905.

4. Shopov, P. J. & Bazhlekov, I. B. 1991 Numerical method for viscous hydrodynamic problems with dynamic contact lines.Comput. Meth. Appl. Mech. Engng 91,1157.

5. Kalliadasis, S. & Chang, C.-H. 1994 Apparent dynamic contact angle of an advancing gas-liquid meniscus.Phys. Fluids 6,12.

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