Assessment of Two- and Three-Scale k-ε Models for Rotating Cavity Flows PUBLIC ACCESS

[+] Author Affiliations
Zhou Guo, David L. Rhode

Texas A&M University, College Station, TX

Paper No. 95-GT-300, pp. V001T01A084; 13 pages
  • 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


A three-scale k-ε turbulence model was recently developed for complex flows such as the rotor-rotor and rotor-stator cavities found in gas turbine engines. The three-scale model is a logical extension of the previous two-scale k-ε model of Ko and Rhode (1990). Both multi-scale turbulence models are presented and assessed via comparison with measurements for possible adoption in future cavity computations. A single computer code solving the 2-D axisymmetric Navier-Stokes equations with a “switch” for selecting among the various turbulence models being compared was used. It was found for both cavity cases that the three-scale model gives a marginal improvement over the two-scale model. Further, both multi-scale models give a substantial improvement over the standard k-ε model for the rotor-stator case, especially in the near-wall region where different eddy sizes are found. However, the feasibility of using a multi-scale model for the rotor-rotor case is unclear since it gives improved values over the standard high-Re model in some regions but worse values in other regions.

In addition, the solutions provide enhanced insight concerning the large changes in flow pattern previously photographed in the rotor-rotor case as rotation increases. In particular, it is shown how: (a) the number of recirculation zones increase with increasing rotation rate and (b) the recirculation zones decrease in size with a decreasing G ratio.

Copyright © 1995 by ASME
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