Abstract

The axisymmetric flow of a highly viscous incompressible liquid as it fills the space between semi-infinite vertical coaxial cylinders is investigated. The liquid flows into the vessel at a constant rate along the surface of the inner cylinder. The flow is characterized by the presence of a free surface. The problem is formulated in the creep flow approximation and is solved numerically. The numerical solution leads to an investigation of the hydrodynamics of the filling process, including the stage in which the liquid spreads over the horizontal surface and the filling stage which follows the arrival of the free surface front at the wall of the outer cylinder.

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