Computational Fluid Dynamics Method for Low Reynolds Number Flow in a Precessing/Spinning, Liquid Filled Cylinder with Rounded Endcaps

Abstract

The flight stability of liquid-filled, spin-stabilized projectiles has been considered for a wide variety of conditions. The three-dimensional, steady, laminar, Navier-Stokes equations are solved using an implicit finite- difference scheme based on successive-over-relaxation. These numerical simulations are used to predict the behavior of incompressible liquids undergoing steady spin and steady precession at a fixed precession angle. The liquid is contained in a fully-filled cylinder with flat or rounded endcaps. These numerical simulations can predict steady viscous and pressure moments due to the liquid fill at low Reynolds number. These moments tend to increase the precession angle and reduce the spin rate of the container. Liquid-induced roll and side (yaw) moments are computed as functions of endcap height to cylinder radius, cylinder half-height to radius, Reynolds number, ratio of precession to spin rate, and precession angle. For a given cylinder, rounded endcaps can decrease the resonant liquid-induced moment by about 25% and shift the resonance to a smaller Reynolds number.

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1989
Accession Number
ADA216997

Entities

People

  • Michael J. Nusca

Organizations

  • Ballistic Research Laboratory

Tags

Communities of Interest

  • Space
  • Weapons Technologies

DTIC Thesaurus Topics

  • Applied Mathematics
  • Aspect Ratio
  • Boundary Layer
  • Classification
  • Computational Fluid Dynamics
  • Computational Science
  • Engineering
  • Equations
  • Equations Of Motion
  • Fluid Dynamics
  • Frequency
  • Navier Stokes Equations
  • Reynolds Number
  • Security
  • Simulations
  • Steady State
  • Three Dimensional

Fields of Study

  • Physics

Readers

  • Control Systems Engineering.
  • Fluid Dynamics.
  • Fluid Mechanics and Fluid Dynamics.