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• W4387364296 abstract "AbstractIn the study of safety enhancements on advanced sodium-cooled fast reactors (SFRs) by the Japan Atomic Energy Agency (JAEA), it has been essential to clarify the thermal hydraulics under various operating conditions at high and low flow rate conditions in a fuel assembly (FA) with wire-wrapped fuel pins to assess the structural integrity of the fuel pin that achieves a high-performance core with high burnup ratio and high power density. A finite element thermal-hydraulic analysis code named SPIRAL has been developed by JAEA to analyze the detailed thermal-hydraulic phenomena in the FA of a SFR.In this study, numerical simulations of 37-pin bundle sodium experiments at different Reynolds (Re) number conditions, including a transitional condition between laminar and turbulent flows and turbulent flow conditions, were performed to validate the developed hybrid k-ε/kθ-εθ turbulence model equipped in SPIRAL to consider the low Re number effect near the wall in the flow and temperature fields. The temperature distributions predicted by SPIRAL were consistent with those measured in the sodium experiments at the Re number conditions. Through the validation study, the applicability of the hybrid turbulence model in SPIRAL to the thermal-hydraulic evaluation of sodium-cooled FAs in a wide range of Re numbers was confirmed.Keywords: Sodium-cooled fast reactorfuel assemblywire-wrapped pin bundlethermal hydraulics NomenclatureCε1, Cε2, Cε3 ==constants in transport equation for ε, Cε1 = Cε3 = 1.5, Cε2 = 1.9Cλ, Cm ==constants in turbulent thermal diffusivity equation, Cλ = 0.1, Cm = 0.5CP1, CP2, CD1, CD2 ==constants in transport equation for εθ, CP1 = 1.9, CP2 = 0.6, CD1 = 2.0, CD2 = 0.9Cμ ==constant in turbulent kinematic viscosity equation, Cμ = 0.09cp ==specific heat (J⋅kg−1⋅K−1)Dh ==hydraulic equivalent diameter of the bundle (m)fε1, fε2, fε3 ==functions in transport equation for ε, fε1 = fε3 = 1fP1, fP2, fD1, fD2 ==functions in transport equation for εθ, fP2 = 1, fD1 = fP1fλ ==function in turbulent thermal diffusivity equationfμ ==function in turbulent kinematic viscosity equationfμ,w, fλ,w ==function in boundary conditions for k and kθGk ==buoyant production (J⋅kg−1⋅s−1)Gr ==Grashof numbergi ==gravitational acceleration in i direction (m⋅s−2)k ==turbulent kinetic energy (J⋅kg−1)kθ ==temperature variance (K2)M ==flow rate (kg⋅s−1)m ==constant in boundary conditions for kθ, m = 1/2Pk ==production of turbulent kinetic energy (J⋅kg−1⋅s−1)Pθ ==production of temperature variance (K2⋅s−1)Pr ==Prandtl numberPrt ==turbulent Pr numberp ==pressure (Pa)Q ==power (W)q ==heat generation rate (W⋅m−3)R ==ratio between the time scales of temperature and velocity fieldsRe ==Reynolds numberRet ==turbulent Re numberRi ==Richardson numberRij ==Reynolds stress (m2⋅s−2)Rjθ ==turbulent heat flux (m⋅K⋅s−1)r ==radial distance (m)T ==temperature in the bundle (°C)t ==time (s)ui, uj ==velocity components in i and j directions (m⋅s−1)uε ==Kolmogorov velocity scale (m⋅s−1)uτ ==friction velocity (m⋅s−1)u+ ==nondimensional velocityw ==axial velocity (m⋅s−1)xi, xj ==coordinates in i and j directions (m)y ==distance from wall surface (m)y+ ==nondimensional distance from wall surfacey* ==nondimensional distance from wall surfacez ==axial distance in the height direction (m)Greek α ==thermal diffusivity (m2⋅s−1)αt ==turbulent thermal diffusivity (m2⋅s−1)β ==volumetric expansion coefficient (K−1)δ ==boundary layer thickness (m)δij ==Kronecker deltaΔt ==time difference (s)ΔTe ==estimated temperature rise in the bundle (°C)ε ==dissipation rate of turbulent kinetic energy (J⋅kg−1⋅s−1)εθ ==dissipation rate of temperature variance (K2⋅s−1)θ ==temperature (°C)θw ==wall temperature (°C)θτ ==friction temperature (°C)θ+ ==nondimensional temperatureκ ==Von Kármán constant, κ = 0.41λ ==thermal conductivity (W⋅m−1⋅K−1)μ ==dynamic viscosity (Pa⋅s)ν ==kinematic viscosity (m2⋅s−1)νt ==turbulent kinematic viscosity (m2⋅s−1)ρ ==density (kg⋅m−3)σ(k), σ(ε), σ(kθ), σ(εθ) ==model constants for turbulent diffusion of k, ε, kθ, and εθ, σ(k) = σ(ε) = 1.4, σ(kθ) = σ(εθ) = 1.6Subscripts in ==inletL ==laminar flow regimem ==mean value on the cross section of the bundleout ==outletT ==turbulent flow regimeSuperscript n ==time stepDisclosure StatementNo potential conflict of interest was reported by the authors." @default.
• W4387364296 created "2023-10-06" @default.
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• W4387364296 date "2023-10-05" @default.
• W4387364296 modified "2023-10-06" @default.
• W4387364296 title "Validation of the Hybrid Turbulence Model in Detailed Thermal-Hydraulic Analysis Code SPIRAL for Fuel Assembly Using Sodium Experiments Data of 37-Pin Bundles" @default.
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• W4387364296 doi "https://doi.org/10.1080/00295450.2023.2249707" @default.
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