On the Stability of Plane Poiseuille Flow

Abstract

The stability of plane Poiseuille flow was studied using theory developed by Harrison. A similarity transformation was introduced which reduces computation time and provides better insight into the basic relations. The stability of the flow was examined from a Lagrangian viewpoint. Instability was found to be progressive in nature and three distinct levels were identified, namely incipient, critical, and fully developed instability. Results show that the critical Reynolds number can be lowered indefinitely if certain types of perturbations occur. Specifically these involve relatively abrupt changes in amplitude. This provides a possible explanation for the disagreement between earlier theory and experiment.

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Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1976
Accession Number
ADA026324

Entities

People

  • Lewis R. Newby

Organizations

  • Naval Postgraduate School

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Aeronautical Engineering
  • Amplitude
  • Boltzmann Equation
  • Boundary Layer
  • California
  • Computer Programs
  • Coordinate Systems
  • Eigenvalues
  • Flow
  • Fluid Dynamics
  • Fluid Mechanics
  • Instability
  • Poiseuille Flow
  • Reynolds Number
  • Schools
  • United States
  • United States Naval Academy

Readers

  • Approximation Theory.
  • Computational Fluid Dynamics (CFD)
  • Theoretical Analysis.