A fully nonlinear model for sloshing in a rotating container

Abstract

In this paper a theoretical and experimental analysis of sloshing in 2D and 3D free-surface congurations is performed.
\nIn particular, the case of a tank rotating around a horizontal axis has been considered. The 
\nuid is assumed to be
\nincompressible and inviscid. A fully nonlinear mathematical model is dened by applying the variational method to the
\nsloshing. The damping of gravity waves has been accounted by introducing a suitable dissipation function from which
\ngeneralized dissipative forces are derived. A modal decomposition is then adopted for the unknowns and a dynamical
\nsystem is derived to describe the evolution of the physical system. An experimental technique has been applied to select
\nthe leading modes, whose evolution characterizes the physical process, i.e. captures the most of the kinetic energy of the
\nprocess. A very good agreement between experimental and numerical results conrms the validity of the methodological
\napproach followed.