The Stability of Plane Couette Flow.

Abstract

The effect of small distrubances on laminar plan Couette flow is stuided. If the distrubances are infinitesimal, the effects are described by the Orr-Sommerfeld equation. Chebyshev polynomials are used to reduce using the generalized Rayleigh quotient, which involves substantially less computer time than previous methods. Accurate eigenvalues are then computed for higher values of the parameters than has been done previously. These values further confim the belief that Couette flow is stable under infinitesimal disturbances. Using the linear results as a starting point, the effect of finite disturbances is studied. A system of equiations is derived for the Navier-Stokes equations, taking into account non-linear terms. In this case, the flow becomes turbulent for certain values of the parameters. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1976
Accession Number
ADA032740

Entities

People

  • Terence Coffee

Organizations

  • City University of New York

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Air Force
  • Chebyshev Polynomials
  • Computational Fluid Dynamics
  • Computational Science
  • Computers
  • Couette Flow
  • Differential Equations
  • Eigenvalues
  • Equations
  • Flow
  • Fluid Flow
  • Laminar Flow
  • Linear Algebra
  • Navier Stokes Equations
  • Polynomials
  • Reynolds Number
  • Steady State

Fields of Study

  • Mathematics

Readers

  • Control Systems Engineering.
  • Fluid Dynamics.