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Turbulent Transport of a Passive Scalar Additive in Spanwise Rotating Channel Flow With Zero Intrinsic Vorticity

[+] Author Affiliations
Karuna S. Koppula, André Bénard, Charles A. Petty

Michigan State University, East Lansing, MI

Paper No. IMECE2009-12809, pp. 357-363; 7 pages
doi:10.1115/IMECE2009-12809
From:
  • ASME 2009 International Mechanical Engineering Congress and Exposition
  • Volume 9: Heat Transfer, Fluid Flows, and Thermal Systems, Parts A, B and C
  • Lake Buena Vista, Florida, USA, November 13–19, 2009
  • Conference Sponsors: ASME
  • ISBN: 978-0-7918-4382-6 | eISBN: 978-0-7918-3863-1
  • Copyright © 2009 by ASME

abstract

In spanwise rotating channel flows, the turbulent kinetic energy near the high pressure and the low pressure walls is primarily associated with longitudinal velocity fluctuations. Consequently, the primary normal Reynolds momentum flux difference is positive and the secondary normal Reynolds flux difference is negative. In the outer region on the high pressure side of the symmetry plane, the energy is redistributed with the result that the signs of both the primary and of secondary normal differences flip. This redistribution of energy by Coriolis forces occurs in a region of zero intrinsic vorticity. In this paper, the dispersion of a passive additive within the zero intrinsic vorticity region is examined by using a recently developed universal, realizable, anisotropic prestress closure for the normalized Reynolds stress. For low rotation numbers (i.e., | Ωx | ≪ ε / k), the theory shows that the transverse component of the passive additive flux is mitigated by a coupling between the shear component of the Reynolds stress and the longitudinal gradient of the mean passive additive field. At high rotation numbers (i.e., | Ωx | ≫ ε / k), the dispersion coefficient in the transverse (cross flow) direction is four times larger than the dispersion coefficient in the spanwise direction. Surprisingly, the dispersion coefficient in the longitudinal direction is relatively small. The geophysical and the engineering significance of these theoretical conclusions will be highlighted in the presentation.

Copyright © 2009 by ASME

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