TY - JOUR
T1 - Modeling the turbulent heat and momentum transfer in flows under different thermal conditions
AU - Nagano, Y.
AU - Hattori, H.
AU - Abe, K.
N1 - Funding Information:
The authorsa cknowledgeth e financial support througha Grant-in-Aid for ScientificR esearcho n Priority Areas from the Ministry of Education,S ciencea nd Culture of Japan (No. 05240103).
PY - 1997/2/15
Y1 - 1997/2/15
N2 - Two-equation turbulence models for velocity and temperature (scalar) fields are developed to calculate wall shear flows under various flow conditions and related turbulent heat transfer under various wall thermal conditions. In the present models, we make the modified dissipation rates of both turbulent energy and temperature variance zero at a wall, though the wall limiting behavior of velocity and temperature fluctuations is reproduced exactly. Thus, the models assure computational expediency and convergence. Also, the present k-ε model is constructed using a new type of expression for the Reynolds stress uiuj proposed by Abe et al. [Trans. JSME B 61 (1995) 1714-1721], whose essential feature lies in introducing the explicit algebraic stress model concept into the nonlinear k-ε formulation, and the present two-equation heat transfer model is constructed to properly take into account the effects of wall thermal conditions on the eddy diffusivity for heat. The models are tested with five typical velocity fields and four typical thermal fields. Agreement with experiment and direct simulation data is quite satisfactory.
AB - Two-equation turbulence models for velocity and temperature (scalar) fields are developed to calculate wall shear flows under various flow conditions and related turbulent heat transfer under various wall thermal conditions. In the present models, we make the modified dissipation rates of both turbulent energy and temperature variance zero at a wall, though the wall limiting behavior of velocity and temperature fluctuations is reproduced exactly. Thus, the models assure computational expediency and convergence. Also, the present k-ε model is constructed using a new type of expression for the Reynolds stress uiuj proposed by Abe et al. [Trans. JSME B 61 (1995) 1714-1721], whose essential feature lies in introducing the explicit algebraic stress model concept into the nonlinear k-ε formulation, and the present two-equation heat transfer model is constructed to properly take into account the effects of wall thermal conditions on the eddy diffusivity for heat. The models are tested with five typical velocity fields and four typical thermal fields. Agreement with experiment and direct simulation data is quite satisfactory.
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U2 - 10.1016/S0169-5983(96)00049-4
DO - 10.1016/S0169-5983(96)00049-4
M3 - Article
AN - SCOPUS:0043226789
VL - 20
SP - 127
EP - 142
JO - Fluid Dynamics Research
JF - Fluid Dynamics Research
SN - 0169-5983
IS - 1-6
ER -