Plane Stokes flow driven by capillarity on a free surface: Overview and status
Abstract
The creeping viscous incompressible plane flow in a region, bounded by a simple smooth closed curve and driven solely by surface tension was studied. Such problems are self-contained in that the applied tractions are intrinsic in the geometry. The objective is to determine exactly the time evolution of the shape of the region. The problems are fundamentally nonlinear due to the large changes in shape, and it is emphasized that no mathematical approximations are made. Mathematical details, discussions of general concepts, and references to related work are included which deals primarily with finite regions. Further articles are in preparation, including extensions to unbounded and doubly-connected regions.
- Publication:
-
Presented at the 5th International Colloquium on Free Boundary Problems: Theory and Applications
- Pub Date:
- March 1990
- Bibcode:
- 1990fbpt.collR..13H
- Keywords:
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- Capillary Flow;
- Stokes Flow;
- Time Dependence;
- Coalescing;
- Fluid Mechanics;
- Liquid Surfaces;
- Viscosity;
- Fluid Mechanics and Heat Transfer