An Asymptotic Analysis of Mixing Loss PUBLIC ACCESS

[+] Author Affiliations
Gerd Fritsch

MTU Motoren- und Turbinen – Union München GmbH, München, Germany

Michael B. Giles

Oxford University Computing Laboratory, Oxford, UK

Paper No. 93-GT-345, pp. V03CT17A006; 8 pages
  • ASME 1993 International Gas Turbine and Aeroengine Congress and Exposition
  • Volume 3C: General
  • Cincinnati, Ohio, USA, May 24–27, 1993
  • Conference Sponsors: International Gas Turbine Institute
  • ISBN: 978-0-7918-7892-7
  • Copyright © 1993 by ASME


The objective of this paper is to establish, in a rigorous mathematical manner, a link between the dissipation of unsteadiness in a 2D compressible flow and the resulting mixing loss. A novel asymptotic approach and a control-volume argument are central to the analysis. It represents the first work clearly identifying the separate contributions to the mixing loss from simultaneous linear disturbances, i.e. from unsteady entropy, vorticity, and pressure waves. The results of the analysis have important implications for numerical simulations of turbomachinery flows; the mixing loss at the stator/rotor interface in steady simulations and numerical smoothing are discussed in depth.

For a transonic turbine, the entropy rise through the stage is compared for a steady and an unsteady viscous simulation. The large interface mixing loss in the steady simulation is pointed out and its physical significance is discussed. The asymptotic approach is then applied to the first detailed analysis of interface mixing loss. Contributions from different wave types and wavelengths are quantified and discussed.

Copyright © 1993 by ASME
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