DYNAMICS OF A LAMELLA IN A CAPILLARY-TUBE

Authors
Citation
Mp. Ida et Mj. Miksis, DYNAMICS OF A LAMELLA IN A CAPILLARY-TUBE, SIAM journal on applied mathematics, 55(1), 1995, pp. 23-57
Citations number
15
Categorie Soggetti
Mathematics,Mathematics
ISSN journal
00361399
Volume
55
Issue
1
Year of publication
1995
Pages
23 - 57
Database
ISI
SICI code
0036-1399(1995)55:1<23:DOALIA>2.0.ZU;2-G
Abstract
The dynamics of a lamella being driven through a capillary tube is stu died here. The lamella is modeled as a thin liquid film which makes a finite contact angle with the tube walls. Only two-dimensional solutio ns are considered. The effect of Van der Waals forces is also included . By considering the thin film limit, we are able to reduce the proble m to studying a system of partial differential equations for the film interfaces. This system is studied both numerically and analytically. The stability of the lamella as a function of the physical parameters is determined.