On a Fluid Outflow from a Bottle Turned Upside-Down

Abstract

An incompressible viscous as well as nonviscous fluid outflow from an axially symmetric bottle turned upside-down is considered. This problem relates the gravity acceleration and air bubbles inflow into the bottle and in the mathematical sense presents a very complicated task. The simplified setting of problem based on a one-dimensional approximation of the fluid flow is proposed and results of numerical experiments are discussed.

Keywords

• fluid dynamics
• outflow
• dynamics of dropper