Oscillations of a Liquid in a Rotating Cylinder. Part . Solid-Body Rotation

Abstract

For application to liquid-filled shell problems, the natural frequencies and decay rates of oscillations of liquids during spin-up in filled rotating cylinders are calculated. In this first part only the fully spun-up flow, i.e., solid-body rotation, is considered. Nevertheless, this part describes in detail the method of solution for the general case of spin-up, and presents results which check with experimental and previous theoretical data closely enough to confirm the reliability of the computational procedure. Data are shown which illustrate the variation of the eigenfrequencies of a disturbance mode with Reynolds number and aspect ratio of the cylinder. This work treats the viscous perturbation equations for flow of a rotating fluid. An eigenvalue problem results, defined by a sixth-order system which is integrated using the orthonormalization technique.

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1978
Accession Number
ADA057759

Entities

People

  • C. W. Kitchens Jr.
  • N. Gerber
  • R. Sedney

Organizations

  • Ballistic Research Laboratory

Tags

Communities of Interest

  • Energy and Power Technologies
  • Space
  • Weapons Technologies

DTIC Thesaurus Topics

  • Boundary Layer
  • Computational Fluid Dynamics
  • Computational Science
  • Differential Equations
  • Eigenvalues
  • Engineering
  • Equations
  • Experimental Data
  • Frequency
  • Jet Propulsion
  • Numerical Integration
  • Physics Laboratories
  • Projectiles
  • Resonant Frequency
  • Reynolds Number
  • Solid Bodies
  • Three Dimensional

Readers

  • Fluid Dynamics.