ON THE SLOSHING OF LIQUID IN A CYLINDRICAL TANK

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.

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Document Details

Document Type
Technical Report
Publication Date
Apr 20, 1956
Accession Number
AD0605958

Entities

People

  • John W. Miles

Organizations

  • TRW Inc.

Tags

Communities of Interest

  • Energy and Power Technologies
  • Weapons Technologies

DTIC Thesaurus Topics

  • Boundary Layer
  • Boundary Layer Flow
  • Computational Fluid Dynamics
  • Computational Science
  • Equations
  • Flow
  • Fluid Dynamics
  • Hydrodynamics
  • Laminar Boundary Layer
  • Layers
  • Potential Energy
  • Pressure Distribution
  • Pressure Gradients
  • Reynolds Number
  • Steady Flow
  • Two Dimensional
  • Viscosity

Fields of Study

  • Physics

Readers

  • Control Systems Engineering.
  • Fluid Dynamics.
  • Mathematics or Statistics