Iv. Bazhlekov et Ak. Chesters, NUMERICAL INVESTIGATION OF THE DYNAMIC INFLUENCE OF THE CONTACT LINE REGION ON THE MACROSCOPIC MENISCUS SHAPE, Journal of Fluid Mechanics, 329, 1996, pp. 137-146
The influence of different boundary conditions applied in the contact
line region on the outer meniscus shape is analysed by means of a fini
te-element numerical simulation of the steady movement of a liquid-gas
meniscus in a capillary tube. The free-surface steady shape is obtain
ed by solving the unsteady creeping-flow approximation of the Navier-S
tokes equations starting from some initial shape. Comparisons of the o
uter solutions obtained using two different inner models, together wit
h that published by Lowndes (1980), indicate the relative insensitivit
y of the outer solution to the type of model utilized in the contact l
ine region.