On the Spatial Eigenvalue Approach to High Reynolds Number Flow in a Rotating and Nutating Cylinder

Abstract

The spatial eigenvalue expansion procedure which we have used previously to study viscous flow in rotating and nutating cylinders is studied in the high Reynolds number limit. It is shown that in this limit there is a significant simplification in the procedure used to determine the amplitudes of the eigenfunctions used to describe the forced velocity field in the cylinder. More precisely, it is shown that these amplitudes can, to the order of Reynolds number used in this paper, be simply expressed in terms of Bessel functions. The method is used to calculate the pressure coefficient at a point on the endwall. Detailed comparisons with experimental results are made. It is found that the approach provides an accurate and extremely rapid way of determining this pressure coefficient.

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Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1990
Accession Number
ADA221710

Entities

People

  • Nathan Gerber
  • Philip Hall
  • Raymond Sedney

Organizations

  • Ballistic Research Laboratory

Tags

Communities of Interest

  • Space
  • Weapons Technologies

DTIC Thesaurus Topics

  • Aeronautics
  • Bessel Functions
  • Boundary Layer
  • Computational Fluid Dynamics
  • Computational Science
  • Engineering
  • Equations
  • Fluid Dynamics
  • Jet Propulsion
  • Mechanical Engineering
  • Military Research
  • Molecular Dynamics
  • Navier Stokes Equations
  • Physics Laboratories
  • Resonant Frequency
  • Reynolds Number
  • Stratified Fluids

Fields of Study

  • Physics

Readers

  • Aerodynamics.
  • Calculus or Mathematical Analysis
  • Combustion and Flow Dynamics.