ON THE INSTABILITY AND NON-LINEAR DEVELOPMENT OF A DISTURBED SHEAR LAYER,

Abstract

An attempt is made to calculate approximately the non-linear development of a distrubed shear layer. The disturbance of the shear layer was obtained by the methods of the inviscid linearized stability theory. By means of the eigenfunctions of the problem the streamlines of the distrubance motion were calculated. It was found that the disturbance of the shear layer is represented by two vortex sheets which will be superposed to the vorticity distribution of the undisturbed shear layer. According to Rosenhead's simplification the non-linear development was calculated by replacing the continuously distributed vorticity by a number of individual vortices and computating the motion of this vortices caused by the mutual induction. It was found that the distrubed shear layer rolls up and a concentration of vorticity results. (Author)

Document Details

Document Type
Technical Report
Publication Date
May 31, 1963
Accession Number
AD0416371

Entities

People

  • A. Michalke

Tags

DTIC Thesaurus Topics

  • Algebra
  • Eigenvectors
  • Instability
  • Linear Algebra
  • Mathematics
  • Turbulent Mixing

Fields of Study

  • Physics

Readers

  • Fluid Dynamics.