On the Merging of Uniform Shear Flows at a Trailing Edge

Abstract

The merging of two uniform, infinite, incompressible shear flows downstream of the trailing edge of a semi-infinite flat plate is studied by means of an asymptotic inner-outer expansion procedure applied to the Naviet-Stokes equations. The flow field is divided into three regions; an outer flow, where inertia effects dominate and vorticity is primarily convected along streamlines; a wake, where inertia and viscous effects are of the same order and vorticity is diffused across streamlines; and a second-order vorticity-diffusing layer along the plate, generated by the upstream effect of the wake. The expansions appropriate to each region match term by term in the overlap regions; however, coefficients are determined numerically only to the third and fifth orders, in the inner and outer regions, respectively. The results indicate the existence of an induced pressure field. The significance of the study in relation to the merging of two laminar boundary layers at a trailing edge is evaluated.

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Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1967
Accession Number
AD0661769

Entities

People

  • Elizabeth J. O'neil
  • R. J. Hakkinen

Organizations

  • Douglas

Tags

Communities of Interest

  • Air Platforms
  • Energy and Power Technologies
  • Space
  • Weapons Technologies

DTIC Thesaurus Topics

  • Asymptotic Series
  • Boundary Layer
  • Computational Fluid Dynamics
  • Computational Science
  • Differential Equations
  • Equations
  • Flow Fields
  • Fluid Dynamics
  • Fluid Mechanics
  • Free Stream
  • Laminar Boundary Layer
  • Mechanics
  • Navier Stokes Equations
  • Pressure Gradients
  • Sequences
  • Shear Flow
  • Stratified Fluids

Readers

  • Fluid Dynamics.