Eigenfrequencies of Inertial Oscillations in a Rotating Fluid via a Numerical Simulation

Abstract

An understanding of the instability of a spinning liquid-filled projectile requires a knowledge of the wave system in the rotating fluid. The axisymmetric wave system in a cylinder is studied by a numerical simulation; the particular case of perturbed solid body rotation is treated. Finite-difference solutions to the Navier-Stokes equations provide data from which wave frequencies and damping can be extracted using Fourier transform and digital filter techniques. The frequency and damping are compared with the values computed from a linearized eigenvalue analysis. It is found that the latter can be used with confidence for Reynolds number as low as 1,000.

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Document Details

Document Type
Technical Report
Publication Date
May 01, 1983
Accession Number
ADA129088

Entities

People

  • Joan M. Bartos
  • Nathan Gerber
  • Raymond Sedney

Organizations

  • Ballistic Research Laboratory

Tags

Communities of Interest

  • Energy and Power Technologies
  • Space
  • Weapons Technologies

DTIC Thesaurus Topics

  • Aeronautics
  • Axisymmetric
  • Boundary Layer
  • Computational Science
  • Differential Equations
  • Digital Filters
  • Eigenvalues
  • Engineering
  • Equations
  • Jet Propulsion
  • Molecular Dynamics
  • Navier Stokes Equations
  • Physics
  • Physics Laboratories
  • Projectiles
  • Reynolds Number
  • Simulations

Fields of Study

  • Physics

Readers

  • Aerodynamics/Aeronautics.
  • Calculus or Mathematical Analysis
  • Structural Dynamics.