STABILITY OF TWO-DIMENSIONAL POISEUILLE FLOW,

Abstract

The report is the second in a series in the exact numerical calculations of the stability of viscous flows by the method of quasilinearization. It describes results for the growth or decay of Tollmien-Schlichting type disturbances in a two-dimensional Poiseuille or channel flow. Results are presented for the second, third, and fourth modes of instability, as well as for the first (fundamental) mode. The computations were carried out by applying the quasilinearization method to the Orr-Sommerfeld equation. The minimum critical Reynolds number for the channel flow was determined to be 11500 (based on maximum channel speed and full channel width). The second mode of the disturbance was investigated in the neighborhood of the minimum critical Reynolds number of the first mode and found to have an amplification exponent of -0.057. The damping of the second mode was found to decrease with increasing Reynolds number, but its neutral curve was not located. The shapes of the eigenfunctions for the third and fourth modes were also determined. (Author)

Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1967
Accession Number
AD0661570

Entities

People

  • E. R. Van Driest
  • J. R. Radbill

Tags

DTIC Thesaurus Topics

  • Amplification
  • Channel Flow
  • Computations
  • Differential Equations
  • Eigenvectors
  • Equations
  • Flow
  • Fluid Dynamics
  • Fluid Flow
  • Instability
  • Mathematical Analysis
  • Poiseuille Flow
  • Reynolds Number
  • Two Dimensional
  • Viscous Flow

Fields of Study

  • Physics

Readers

  • Fluid Dynamics.
  • Fluid Mechanics and Fluid Dynamics.