TY - JOUR
T1 - Numerical study of turbulent double-diffusive natural convection in a square cavity by LES-based lattice Boltzmann model
AU - Chen, Sheng
AU - Liu, Hao
AU - Zheng, Chuguang
N1 - This work was supported by the State Key Development Programme for Basic Research of China (Grant Nos. 2010CB227004 and 2011CB707301), the National Natural Science Foundation of China (Grant Nos. 50936001, 51021065, 51176061 and 51006043) and the Research Fund for the Doctoral Program of Higher Education of China (Grant No. 20100142120048). Dr. Chen would also acknowledge the support by the Newton International Fellowship Scheme, UK.
PY - 2012/8
Y1 - 2012/8
N2 - Turbulent double-diffusive natural convection in a square cavity represents numerous important problems in practice as well as in fundamental. However up to date the study on it is quite sparse and most previous studies just focus on laminar regime. To the best knowledge of the present authors, only several k- models were developed to investigate turbulent double-diffusive convection and there is no attempt to use Large Eddy Simulation (LES). In order to deepen our knowledge on turbulent double-diffusive convection in a square cavity, we propose a novel LES-based lattice Boltzmann (LB) model to simulate such turbulent convectional flow. Previous LES-based LB models can be recovered from the present model. We find that the symmetry of the fluid circulation becomes broken since the Rayleigh number Ra = 10 8, although the asymmetry is more clear when Ra ≥ 10 10. More important, in the present study we find the power-law relationship among the Nusselt (Nu), the ratio of buoyancy forces (N) and the Rayleigh number (Ra) still exists in turbulent regime. The formula among them can be concluded as Nu = a × (Ra × 1 - N) b + c. The values of parameters a, b and c are given in this work.
AB - Turbulent double-diffusive natural convection in a square cavity represents numerous important problems in practice as well as in fundamental. However up to date the study on it is quite sparse and most previous studies just focus on laminar regime. To the best knowledge of the present authors, only several k- models were developed to investigate turbulent double-diffusive convection and there is no attempt to use Large Eddy Simulation (LES). In order to deepen our knowledge on turbulent double-diffusive convection in a square cavity, we propose a novel LES-based lattice Boltzmann (LB) model to simulate such turbulent convectional flow. Previous LES-based LB models can be recovered from the present model. We find that the symmetry of the fluid circulation becomes broken since the Rayleigh number Ra = 10 8, although the asymmetry is more clear when Ra ≥ 10 10. More important, in the present study we find the power-law relationship among the Nusselt (Nu), the ratio of buoyancy forces (N) and the Rayleigh number (Ra) still exists in turbulent regime. The formula among them can be concluded as Nu = a × (Ra × 1 - N) b + c. The values of parameters a, b and c are given in this work.
KW - Double-diffusive convection
KW - Large Eddy Simulation
KW - Lattice Boltzmann method
KW - Turbulent
U2 - 10.1016/j.ijheatmasstransfer.2012.04.056
DO - 10.1016/j.ijheatmasstransfer.2012.04.056
M3 - Article
AN - SCOPUS:84862126964
SN - 0017-9310
VL - 55
SP - 4862
EP - 4870
JO - International Journal of Heat and Mass Transfer
JF - International Journal of Heat and Mass Transfer
IS - 17-18
ER -