ON THE EIGENVALUES OF COUETTE FLOW IN A FULLY-FILLED CYLINDRICAL CONTAINER

Abstract

For a stationary flow in a cylindrical container of the Couette type in an outer radial zone, and of zero velocity in an inner radial zone, the normal mode equations are derived. For negative wave numbers in the theta- direction, these equations are found to have a singularity. The eigenvalues are calculated by initial value methods employing the Runge-Kutta-Gill integration procedure. Values of the dependent function and their derivatives at the singularity are calculated by linear extrapolation coupled with continuity requirements. Tables of eigenvalues for various slenderness ratios of the cylinder and various radial nodes are given for theta-wave numbers of -1.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1967
Accession Number
AD0647603

Entities

People

  • M. M. Reddi

Organizations

  • Franklin Institute

Tags

DTIC Thesaurus Topics

  • Abstracts
  • Bessel Functions
  • Boundaries
  • Classification
  • Computer Programs
  • Computers
  • Containers
  • Continuity
  • Contracts
  • Couette Flow
  • Differential Equations
  • Eigenvalues
  • Equations
  • Equations Of Motion
  • Extrapolation
  • Security
  • Stationary

Fields of Study

  • Mathematics
  • Physics

Readers

  • Calculus or Mathematical Analysis
  • Fluid Dynamics.