Abstract
Abstract
Highlights
Sretenski (1936) and Moiseev (1953) were probably the first to show that sloshing coupled with the lateral and/or angular oscillatory tank motions is characterised by the natural sloshing frequencies σs,i, which, generally, differ from those frequencies σi without that coupling
Bearing in mind the importance of the resonant sloshing response in closed fish tanks (Tan, Shao & Read 2019) as well as remembering this difference, we constructed nonlinear analytical sloshing theories for a two-dimensional rectangular tank whose lateral motions are affected by the sloshing-related hydrodynamic force
The analysis starts with the undamped sloshing coupled with the lateral motion of a rigid vehicle in figure 1(a)
Summary
Sretenski (1936) and Moiseev (1953) were probably the first to show that sloshing coupled with the lateral and/or angular oscillatory tank motions is characterised by the natural sloshing frequencies σs,i, which, generally, differ from those frequencies σi without that coupling. Nonlinearity and damping play an important role for experimental and numerical results by Rognebakke & Faltinsen (2003) who considered a two-dimensional flow problem with a rigid floating rectangular tank that is free to sway in incident regular waves with frequency σ in a wide range covering both the Stokes σ1 and non-Stokes σs, lowest natural sloshing frequencies. This coupled mechanical system is schematically depicted in figure 1(b). Alternative numerical simulations in this frequency range by Shen et al (2020), who used a fully nonlinear potential flow solver, reported difficulties to achieve a clearly steady-state wave regime
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