Steady-State Resonant Sloshing in an Upright Cylindrical Container Performing a Circular Orbital Motion

Figure 3

Theoretical (lines) and experimental (symbols) nondimensional wave magnitude at the vertical wall, , for the rotary forcing. Experiments [15, 18] were conducted by using a stepwise increase of the forcing frequency providing a path-following along the upper branch in Figure 2. The theoretical curves were drawn by using the constructed lowest-order asymptotic analytical solution and formulas from Appendix of [6] for the higher-order generalized coordinates. The curves are marked by the nondimensional amplitudes 0.01, 0.02, and 0.04. The computations adopted the damping coefficient . The filled symbols mark the experimental cases when observations in [15, 18] detected both the strong wave breaking and the Prandtl phenomenon [20].