Fully Nonlinear Goertler Vortices in Constricted Channel Flows and Their Effect on the Onset of Separation

Abstract

The development of fully nonlinear Gortler vortices in the high Reynolds number flow in a symmetrically constricted channel is investigated. Attention is restricted to the case of 'strongly' constricted channels considered by Smith and Daniels (1981) for which the scaled constriction height is asymptotically large. Such flows are known to develop a Goldstein singularity and subsequently become separated at some downstream station past the point of maximum channel constriction. It is shown that these flows can support fully nonlinear Gortler vortices, of the form elucidated by Hall and Lakin (1988), for constrictions which have an appreciable region of local concave curvature upstream of the position at which separation occurs. The effect on the onset of separation due to the nonlinear Gortler modes will be discussed. A brief discussion of other possible nonlinear states which may also have a dramatic effect in delaying (or promoting) separation will be given.

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Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1992
Accession Number
ADA255454

Entities

People

  • James P. Denier
  • Philip Hall

Tags

Communities of Interest

  • C4I

DTIC Thesaurus Topics

  • Boundary Layer
  • Boundary Layer Flow
  • Channel Flow
  • Constrictions
  • Curvature
  • Engineering
  • Equations
  • Flow
  • Fluid Dynamics
  • Mathematics
  • Pressure Gradients
  • Reynolds Number
  • Skin Friction
  • Steady Flow
  • Stratified Fluids
  • Turbulent Flow
  • Turbulent Mixing

Readers

  • Atmospheric Science / Meteorology, specifically Wind Wave Turbulence.
  • Fluid Dynamics.
  • Fluid Mechanics and Fluid Dynamics.