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A New Time-Averaging Procedure for Compressible, Unsteady Turbulent Flows FREE

[+] Author Affiliations
F. Kreitmeier

Boveri & Co. Ltd., Baden, Switzerland

Paper No. 87-GT-83, pp. V001T01A025; 8 pages
doi:10.1115/87-GT-83
From:
  • ASME 1987 International Gas Turbine Conference and Exhibition
  • Volume 1: Turbomachinery
  • Anaheim, California, USA, May 31–June 4, 1987
  • Conference Sponsors: International Gas Turbine Institute
  • ISBN: 978-0-7918-7923-8
  • Copyright © 1987 by ASME

abstract

The computations done at present for turbulent flow fields use either time-averaged (Reynolds) or time-and-mass-averaged (Favre) quantities, together with time-averaged fluctuating terms (FTs). Large numbers of these FTs, which are derived from the time-averaged balance equations, occur whenever all relevant time-averaged balance equations are being used and all quantities, including the transport quantities, must be considered as turbulent. The FTs require a great deal of experimental and theoretical work — for example, for closing time-averaged balance equations using familiar heuristic methods. For general simplification, then, a new averaging procedure is presented here which employs no arbitrary breakdown of the turbulent quantities, thus completely avoiding the FTs. This method is based on hypothetical reversible and irreversible equilibration processes on three control surfaces perpendicular to the major axes and in the control volume of a fluid element. The time-averaged balance equations take on the same manageable form as the instantaneous balance equations. In addition, the effort required for closing the time-averaged balance equations is reduced to a minimum.

Copyright © 1987 by ASME
Topics: Turbulence
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