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Conditioned Navier-Stokes and kϵγ Equations to Model Transition in Pressure Gradient Flow FREE

[+] Author Affiliations
J. Steelant, E. Dick

Universiteit Gent, Gent, Belgium

Paper No. 95-GT-213, pp. V001T01A062; 8 pages
doi:10.1115/95-GT-213
From:
  • ASME 1995 International Gas Turbine and Aeroengine Congress and Exposition
  • Volume 1: Turbomachinery
  • Houston, Texas, USA, June 5–8, 1995
  • Conference Sponsors: International Gas Turbine Institute
  • ISBN: 978-0-7918-7878-1
  • Copyright © 1995 by ASME

abstract

Conditionally averaged Navier-Stokes equations are derived to describe transitional flow. The averages are taken during the fraction of time the flow is laminar or turbulent, respectively. Conditional averaging leads both for the laminar and turbulent parts to a set of equations for mass, momentum and energy. The conditioned equations differ from the original Navier-Stokes equations by the presence of source terms which are functions of the intermittency factor, γ. This factor is the extra unknown and is determined by a transport equation. The evolution of γ depends mainly on the turbulence level, pressure gradient and Reynolds-number. The turbulence is described by the classical k-ϵ model. The approach is verified against several test cases, with and without pressure gradients.

Copyright © 1995 by ASME
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