Turbulent transport of a passive scalar additive in spanwise rotating channel flow with zero intrinsic vorticity

Karuna S. Koppula, André Bénard, Charles A. Petty

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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.

LanguageEnglish (US)
Title of host publicationASME International Mechanical Engineering Congress and Exposition, Proceedings
PublisherAmerican Society of Mechanical Engineers (ASME)
Pages357-363
Number of pages7
Volume9
EditionPART A
ISBN (Print)9780791843826
DOIs
StatePublished - 2010
EventASME 2009 International Mechanical Engineering Congress and Exposition, IMECE2009 - Lake Buena Vista, FL, United States
Duration: Nov 13 2009Nov 19 2009

Other

OtherASME 2009 International Mechanical Engineering Congress and Exposition, IMECE2009
CountryUnited States
CityLake Buena Vista, FL
Period11/13/0911/19/09

Profile

Channel flow
Vorticity
Fluxes
Coriolis force
Kinetic energy
Momentum

ASJC Scopus subject areas

  • Mechanical Engineering

Cite this

Koppula, K. S., Bénard, A., & Petty, C. A. (2010). Turbulent transport of a passive scalar additive in spanwise rotating channel flow with zero intrinsic vorticity. In ASME International Mechanical Engineering Congress and Exposition, Proceedings (PART A ed., Vol. 9, pp. 357-363). American Society of Mechanical Engineers (ASME). DOI: 10.1115/IMECE2009-12809

Turbulent transport of a passive scalar additive in spanwise rotating channel flow with zero intrinsic vorticity. / Koppula, Karuna S.; Bénard, André; Petty, Charles A.

ASME International Mechanical Engineering Congress and Exposition, Proceedings. Vol. 9 PART A. ed. American Society of Mechanical Engineers (ASME), 2010. p. 357-363.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Koppula, KS, Bénard, A & Petty, CA 2010, Turbulent transport of a passive scalar additive in spanwise rotating channel flow with zero intrinsic vorticity. in ASME International Mechanical Engineering Congress and Exposition, Proceedings. PART A edn, vol. 9, American Society of Mechanical Engineers (ASME), pp. 357-363, ASME 2009 International Mechanical Engineering Congress and Exposition, IMECE2009, Lake Buena Vista, FL, United States, 11/13/09. DOI: 10.1115/IMECE2009-12809
Koppula KS, Bénard A, Petty CA. Turbulent transport of a passive scalar additive in spanwise rotating channel flow with zero intrinsic vorticity. In ASME International Mechanical Engineering Congress and Exposition, Proceedings. PART A ed. Vol. 9. American Society of Mechanical Engineers (ASME). 2010. p. 357-363. Available from, DOI: 10.1115/IMECE2009-12809
Koppula, Karuna S. ; Bénard, André ; Petty, Charles A./ Turbulent transport of a passive scalar additive in spanwise rotating channel flow with zero intrinsic vorticity. ASME International Mechanical Engineering Congress and Exposition, Proceedings. Vol. 9 PART A. ed. American Society of Mechanical Engineers (ASME), 2010. pp. 357-363
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