A Numerical Study of Taylor-Vortex Flow.

Abstract

Results are presented of a numerical study of Taylor vortex flows. The computations were done with values of the Reynolds number and aspect ratio as used by T. B. Benjamin in his experiments. An extensive study was made of the two-cell and four-cell transitions and bifurcations. Good agreement was obtained with the experimental results. The flows were assumed to be axisymmetric so that the computation required only two spatial dimensions, although it required that all velocity components and the pressure be computed. A regularized central finite difference scheme was used to discretize the Navier-Stokes equations. The system of equations was solved by an iterative method similar to successive-over-relaxation. Key Words: Taylor vortices; Finite difference scheme.

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Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1985
Accession Number
ADA154787

Entities

People

  • J. C. Strikwerda

Organizations

  • University of Wisconsin–Madison

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Aspect Ratio
  • Computational Fluid Dynamics
  • Computational Science
  • Computations
  • Difference Equations
  • Differential Equations
  • Equations
  • Equations Of State
  • Fluid Dynamics
  • Geometry
  • Mathematics
  • Navier Stokes Equations
  • Numerical Analysis
  • Reynolds Number
  • Steady State
  • Symmetry
  • United States

Fields of Study

  • Physics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Fluid Dynamics.