An Approximation to the Eigenvalues of a Linear Stability Problem for High Reynolds Number

Abstract

The spectrum of a sixth order differential operator is examined asymptotically in the high Reynolds number limit. The eigenvalue problem investigated arises in the study of the fluid motion in a coning and rotating fluid filled cylinder. It is shown that the approximation procedure derived at high Reynolds numbers predicts very accurately the required eigenvalues. Keywords: Boundary layer; Liquid filled projectiles; Differential equations; Linear stability; Reynolds number; Rotating liquid; WKB method.

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Document Details

Document Type
Technical Report
Publication Date
May 01, 1990
Accession Number
ADA222563

Entities

People

  • Philip Hall

Organizations

  • Ballistic Research Laboratory

Tags

Communities of Interest

  • Air Platforms
  • Space
  • Weapons Technologies

DTIC Thesaurus Topics

  • Aeronautical Engineering
  • Aeronautics
  • Aircrafts
  • Boundary Layer
  • Computational Fluid Dynamics
  • Computational Science
  • Differential Equations
  • Eigenvalues
  • Engineering
  • Equations
  • Fluid Dynamics
  • Jet Propulsion
  • Mechanical Engineering
  • Military Research
  • Physics Laboratories
  • Reynolds Number
  • Solid Bodies

Fields of Study

  • Physics

Readers

  • Control Systems Engineering.
  • Fluid Dynamics.
  • Linear Algebra