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ON THE SLOSHING OF LIQUID IN A CYLINDRICAL TANK
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1956
Year
Unknown Venue
Marine HydrodynamicsAeroacousticsHydroelasticityEngineeringCylindrical TankCircular TankLiquid-liquid FlowFluid MechanicsCivil EngineeringMechanical EngineeringFlow PhysicFluid-solid InteractionRheologyMarine EngineeringMultiphase FlowGas-liquid FlowOscillatory ForceHydrodynamic Stability
Abstract : The free oscillatiions of a slightly viscous liquid in a cylindrical tank (of arbitrary cross section) with a free surface are analyzed and the decrement of motion caused by laminar boundary-layer friction and time-varying depth calculated. An increasing or decreasing (in time) depth is shown to have a destabilizing or stabilizing effect, respectively, but the magnitude of this effect is negligible for practical configurations. The results are applied to a circular tank, and it is shown thatt the depth may be con sidered infinite when it exceeds the diameter. The sloshing oscillations in a 10-foot (diameter) tank are found to have a (longest) period of 1.8 seconds and, assuming the kinematic viscosity to be that of water at 20C, a time to damp to onehalf amplitude of 7 minutes for mean amplitudes smaller than about 10 inches. The transverse, oscillatory force on the tank walls associated with a sloshing amplitude of one foot would have an amplitude of 2700 pounds and would act 2.7 feet below the mean surface.