Turner-Bridges paper accepted to J. Fluid Mechanics

The article “Nonlinear energy transfer between fluid sloshing and vessel motion” has been accepted for publication in the Journal of Fluid Mechanics.  The article examines the dynamic coupling between a sloshing fluid and the motion of the vessel containing the fluid.  A nonlinear mechanism is identified which leads to an energy exchange between the vessel dynamics and fluid motion which is based on a 1:1 resonance in the linearized equations.  The theory is developed for Cooker’s pendulous sloshing experiment where a rectangular vessel is partially filled with fluid, and is suspended by two cables.  A nonlinear normal form is derived close to an internal 1:1 resonance, with the energy transfer manifested by a heteroclinic connection which connects the purely symmetric sloshing modes (with the vessel stationary) to the purely anti-symmetric sloshing modes (which is coupled to vessel motion).  In practice, this energy transfer can lead to sloshing-induced destabilization of fluid-carrying vessels. An electronic copy of the final-form preprint can be downloaded here.