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.

    Original 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

    Other

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

    Profile

    Vorticity
    Fluxes
    Channel flow
    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, 13-19 November. 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. p. 357-363.

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

    @inbook{2f2eafecf5934bcdbb33bce16a65ffc2,
    title = "Turbulent transport of a passive scalar additive in spanwise rotating channel flow with zero intrinsic vorticity",
    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.",
    author = "Koppula, {Karuna S.} and André Bénard and Petty, {Charles A.}",
    year = "2010",
    doi = "10.1115/IMECE2009-12809",
    isbn = "9780791843826",
    volume = "9",
    pages = "357--363",
    booktitle = "ASME International Mechanical Engineering Congress and Exposition, Proceedings",
    publisher = "American Society of Mechanical Engineers (ASME)",
    edition = "PART A",

    }

    TY - CHAP

    T1 - Turbulent transport of a passive scalar additive in spanwise rotating channel flow with zero intrinsic vorticity

    AU - Koppula,Karuna S.

    AU - Bénard,André

    AU - Petty,Charles A.

    PY - 2010

    Y1 - 2010

    N2 - 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.

    AB - 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.

    UR - http://www.scopus.com/inward/record.url?scp=77954253381&partnerID=8YFLogxK

    UR - http://www.scopus.com/inward/citedby.url?scp=77954253381&partnerID=8YFLogxK

    U2 - 10.1115/IMECE2009-12809

    DO - 10.1115/IMECE2009-12809

    M3 - Conference contribution

    SN - 9780791843826

    VL - 9

    SP - 357

    EP - 363

    BT - ASME International Mechanical Engineering Congress and Exposition, Proceedings

    PB - American Society of Mechanical Engineers (ASME)

    ER -