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The Streamwise Development of Görtler Vortices in a Favorable Pressure Gradient FREE

[+] Author Affiliations
M. V. Finnis, A. Brown

Cranfield University, Shrivenham, Swindom, UK

Paper No. 94-GT-166, pp. V004T09A021; 13 pages
doi:10.1115/94-GT-166
From:
  • ASME 1994 International Gas Turbine and Aeroengine Congress and Exposition
  • Volume 4: Heat Transfer; Electric Power; Industrial and Cogeneration
  • The Hague, Netherlands, June 13–16, 1994
  • Conference Sponsors: International Gas Turbine Institute
  • ISBN: 978-0-7918-7886-6
  • Copyright © 1994 by ASME

abstract

Measurements are presented of the streamwise velocity variation within a laminar boundary layer on a concave surface of 4 m radius of curvature for which the free-stream velocity gradient factor Display Formulaν/U02dU0/dx was approximately 1 × 10−6. The velocity variation was consistent with the presence of counter-rotating vortices resulting from the Görtler instability. The vortices exhibited exponential growth over the streamwise extent of the measurements to a disturbance amplitude of approximately 13% of the local freestream velocity. The vortex growth rates were found to be less than those for a zero velocity gradient factor indicating that a favorable pressure gradient stabilizes the flow with respect to the Görtler instability.

Boundary layer profiles at local upwash and downwash positions are compared with the linear theory for which the mean flow was modelled using the Pohlhausen approximation to the solution of the boundary layer equations. The agreement between the measured and predicted profiles indicates that the linear stability theory can provide a fair approximation to the small amplitude growth of the Görtler instability.

Copyright © 1994 by ASME
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