The water bell: An attempt to derive it

Abstract

We consider a cave jet of an incompressible non viscous fluid, in the limit of vanishing thickness: the “water bell” model, as obtained by Boussinesq [6] and solved by Taylor [19]. We discuss how to derive this model as a limit of stationary solutions of Euler equation with surface tension on the free boundaries, via a variational principle.

Keywords

• surface tension
• jet
• cavity