Modified Norris-Reynolds one-equation model

M.M. Rahman, A.K.M. Sadrul Islam, M.J. Lampinen, T. Siikonen

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    Abstract

    A modified version of Norris–Reynolds (NR) k–equation turbulence model is proposed to account for the distinct effects of low– Reynolds number (LRN) and wall proximity. The turbulent kinetic energy k and the dissipation rate E are evaluated using the k–transport equation in conjunction with the Bradshaw and other empirical relations. The eddy–viscosity formulation maintains the positivity of normal Reynolds stresses and preserves the anisotropic characteristics of turbulence in the sense that they are sensitized to rotational and non–equilibrium flows. The modified NR (MNR) model is validated against well–documented flow cases yielding predictions in good agreement with the direct numerical simulation (DNS) and experimental data. Comparisons indicate that the MNR model offers some improvement over the original NR model and competitiveness with the Spalart–Allmaras one–equation model.
    Original languageEnglish
    Pages (from-to)276-286
    JournalProcedia Engineering
    Volume105
    DOIs
    Publication statusPublished - 2014
    MoE publication typeA4 Article in a conference publication
    EventBangladesh Society of Mechanical Engineers International Conference on Thermal Engineering - Dhaka, Bangladesh
    Duration: 19 Dec 201421 Dec 2014
    Conference number: 6

    Keywords

    • k-equation model
    • length scale
    • realizability

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