THE EFFECT OF WALL ELASTICITY AND SURFACE TENSION ON THE FORCED OSCILLATIONS OF A LIQUID IN A CYLINDRICAL CONTAINER

Abstract

The stability of a fluid contained in a circular cylindrical tank with a flat, flexible bottom under a periodic axial excitation is studied. A variational approach is formulated. An approximate solution results in a pair of coupled ordinary differential equations with periodic coefficients. A method of handling the stability of the solutions of such a system of equations is presented. Numerical results are discussed.

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Document Details

Document Type
Technical Report
Publication Date
Jun 25, 1965
Accession Number
AD0633765

Entities

People

  • P. Tong
  • Y. C. Fung

Organizations

  • California Institute of Technology

Tags

Communities of Interest

  • Weapons Technologies

DTIC Thesaurus Topics

  • Air Force
  • Boundaries
  • Coefficients
  • Computational Fluid Dynamics
  • Computational Science
  • Containers
  • Differential Equations
  • Elastic Properties
  • Equations
  • Excitation
  • Fluid Mechanics
  • Frequency
  • Mechanical Properties
  • Mechanics
  • Surface Tension
  • Two Dimensional
  • Variational Principles

Fields of Study

  • Mathematics

Readers

  • Atmospheric Science / Meteorology, specifically Wind Wave Turbulence.
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Fluid Dynamics.