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Development and Verification of a Non-Linear Algebraic Model for the Turbulent Heat Fluxes in Rotating Passages

[+] Author Affiliations
B. A. Younis

University of California - Davis, Davis, CA

B. Weigand, F. Mohr, M. Schmidt

Universität Stuttgart, Stuttgart, Germany

Paper No. GT2008-50386, pp. 373-382; 10 pages
doi:10.1115/GT2008-50386
From:
  • ASME Turbo Expo 2008: Power for Land, Sea, and Air
  • Volume 4: Heat Transfer, Parts A and B
  • Berlin, Germany, June 9–13, 2008
  • Conference Sponsors: International Gas Turbine Institute
  • ISBN: 978-0-7918-4314-7 | eISBN: 0-7918-3824-2
  • Copyright © 2008 by ASME

abstract

We propose a new approach to modeling the effects of system rotation on the turbulent scalar fluxes. The approach is based on extension to rotating frames of an algebraic model derived using tensor representation theory. The model is formulated to allow for the turbulent scalar fluxes to depend on the details of the turbulence field (via the Reynolds stresses), and on the gradients of both the mean velocity and temperature. Such dependence, which is absent from conventional models, is required by the exact equations governing the transport of the heat fluxes. The model’s performance is assessed by comparisons with results from recent Direct Numerical Simulations of flows in channels rotated about their streamwise, spanwise and wall-normal axes. The results show that the model yields results that are in good correspondence with the DNS results.

Copyright © 2008 by ASME

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