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Implementation of a Surface Roughness-Based Transition Onset Correction in the γ-Rθt~ Transition Model

[+] Author Affiliations
Alexandre Minot

Safran Tech, Magny-Les-Hameaux, France

Julien Marty

ONERA, Meudon, France

Jean Perraud, Grégoire Casalis

ONERA, Toulouse, France

Paper No. GT2017-63237, pp. V02BT41A006; 12 pages
doi:10.1115/GT2017-63237
From:
  • ASME Turbo Expo 2017: Turbomachinery Technical Conference and Exposition
  • Volume 2B: Turbomachinery
  • Charlotte, North Carolina, USA, June 26–30, 2017
  • Conference Sponsors: International Gas Turbine Institute
  • ISBN: 978-0-7918-5079-4
  • Copyright © 2017 by ASME

abstract

This paper presents an extension of the Display Formulaγ-Rθt~ transition model of Menter et al. (2006) that aims to take into account the effect of a specific type of surface roughness on the transition location. This was done by implementing the roughness transition onset correction of Stripf et al. (2009) inside the Display Formulaγ-Rθt~ model. Stripf et al. have developed a correlation that takes into account the height and spacing of distributed roughness elements to correct the transition Reynolds number predicted over a smooth surface. As the transition Reynolds number takes multiple forms in the Display Formulaγ-Rθt~ model, different implementations of the Stripf et al. correction were tested and are discussed here. We find that it is best to correct the value of the critical Reynolds number Rθc. Computation results on a rough, low-pressure turbine vane are presented and compared to experimental results of the Karlsruhe Institute of Technology. We find that there is a good agreement on the transition location between the computations and experiments. In particular, the model displays accurate sensitivity to the roughness height, though the influence of the roughness spacing, which is of second order in these experiments, is not as well captured. We therefore conclude that the roughness transition onset correction of Stripf et al. is well suited for use in the Display Formulaγ-Rθt~ model.

Copyright © 2017 by ASME

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