SLOSHING OF LIQUIDS IN CIRCULAR CANALS AND SPHERICAL TANKS

Abstract

Theoretical calculations are made of the natural modes and frequencies of small-amplitude sloshing of liquids in partially filled circular canals and spherical tanks. An integral-equation approach is used to analyze the circular canal for arbitrary depth of liquid. A similar approach for the spherical tank provides modes and frequencies for the nearly-full and half-full cases. These results, together with the known behavior of the nearly- empty tank, are used in conjunction with the trends established for the circular canal as a basis for estimating frequencies for arbitrary depth of liquid in the spherical tank. The dynamic analysis of the container-fluid system by means of the mode-superposition approach is discussed, and modal parameters required in such analyses are presented.

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Document Details

Document Type
Technical Report
Publication Date
Dec 03, 1958
Accession Number
AD0801718

Entities

People

  • Bernard Budiansky

Organizations

  • Lockheed Martin Missiles and Space

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Boundaries
  • Complex Variables
  • Computational Fluid Dynamics
  • Computational Science
  • Conformal Mapping
  • Coordinate Systems
  • Differential Equations
  • Eigenvalues
  • Eigenvectors
  • Equations
  • Euler Equations
  • Flow
  • Frequency
  • Integral Equations
  • Kernel Functions
  • Mechanics
  • Surface Properties

Readers

  • Riverine Ecology
  • Structural Dynamics.