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ANALYSIS OF RAYLEIGH-BENARD NATURAL CONVECTION  

Choi, Seok-Ki (한국원자력연구소)
Kim, Seong-O (한국원자력연구소)
Publication Information
Journal of computational fluids engineering / v.13, no.3, 2008 , pp. 62-68 More about this Journal
Abstract
This paper reports briefly on the computational results of a turbulent Rayleigh-Benard convection with the elliptic-blending second-moment closure (EBM). The primary emphasis of the study is placed on an investigation of accuracy and numerical stability of the elliptic-blending second-moment closure for the turbulent Rayleigh-Benard convection. The turbulent heat fluxes in this study are treated by the algebraic flux model with the temperature variance and molecular dissipation rate of turbulent heat flux. The model is applied to the prediction of the turbulent Rayleigh-Benard convection for Rayleigh numbers ranging from Ra=$2{\times}10^6$ to Ra=$10^9$ and the computed results are compared with the previous experimental correlations, T-RANS and LES results. The predicted cell-averaged Nusselt number follows the correlation by Peng et al.(2006) (Nu=$0.162Ra^{0.286}$) in the 'soft' convective turbulence region ($2{\times}10^6{\leq}Ra{\leq}4{\times}10^7$) and it follows the experimental correlation by Niemela et al. (2000) (N=$0.124Ra^{0.309}$) in the 'hard' convective turbulence region ($10^8{\leq}Ra{\leq}10^9$) within 5% accuracy. This results show that the elliptic-blending second-moment closure with an algebraic flux model predicts very accurately the Rayleigh-Benard convection.
Keywords
Turbulent Natural Convection; Rayleigh-Benard Convection; second-moment; Second-Moment Turbulence Model;
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1 2005, Thielen, L., Hanjalic, K., Jonker, H. and Manceau, R., "Prediction of flow and heat transfer in multiple impinging jets with an elliptic-blending second-moment closure," Int. J. Heat Mass Transfer, Vol.48, pp.1583-1598   DOI   ScienceOn
2 2001, Dol, H.S. and Hanjalic, K., "Computational study of turbulent natural convection in a side-heated near-cubic enclosure at a high Rayleigh number," Int. J. Heat Mass Transfer, Vol.44, pp.2323-2344   DOI   ScienceOn
3 1992, Wu, X.Z. and Libchaber, A., "Scaling relation in thermal turbulence," Phys. Rev. A., Vol.40, pp.842-845
4 1974, Launder, B.E. and Sharma, B.I., "Application of the energy dissipation model of turbulence to the calculation of near spinning disc," Lett. in Heat and Mass Transfer, Vol.1, pp.131-138   DOI   ScienceOn
5 2002, Medic, G. and Durbin, P.A., "Toward improved prediction of heat transfer on turbine blades," J. Turbomachinery, Vol.124, pp.187-192   DOI
6 2008, Choi, S.K. and Kim, S.O., "Treatment of turbulent heat fluxes with the elliptic-blending second-moment closure for turbulent natural convection flows," Int. J. Heat Mass Transfer, Vol.51, pp.2377-2388   DOI   ScienceOn
7 1994, Menter, F.R., "Two-equation eddy-viscosity turbulence model for engineering applications," AIAA J., Vol.32, pp.1598-1605   DOI   ScienceOn
8 1988, Patankar, S.V. Numerical Heat Transfer and Fluid Flow, Hemisphere, New York, USA
9 1991, Zhu, J., "A low-diffusive and oscillation free convection scheme," Comm. Appl. Numer. Methods, Vol.7, pp.225-232   DOI
10 2006, Peng, S.H., Hanjalic, K. and Davidson, L., "Large-eddy simulation and deduced scaling analysis of Rayleigh-Benard convection up to $Ra=10^{9}$," J. Turbulence, Vol.7, pp.1-29
11 1994, Ishiwatari, M., Takehiro, S.I. and Hayashi, Y.Y., "The effects of thermal conditions on the cell sizes of two-dimensional convection," J. Fluid Mech., Vol.281, pp.33-50   DOI   ScienceOn
12 2005, Manceau, R., "An improved version of the elliptic blending model application to non-rotating and rotating channel flows," Proceedings of 4th Int. Symp. Turbulence and shear flow phenomena, Williamsburg, VA, USA, pp.259-264
13 2006, Kenjeres S. and Hanjalic, K., "LES, T-RANS and hybrid simulations of thermal convection at high Ra numbers," Int. J. Heat Fluid Flow, Vol.27, pp.800-810   DOI   ScienceOn
14 1999, Kenjeres S. and Hanjalic, K. "Transient analysis of Rayleigh-Benard convection with a RANS model," Int. J. Heat Fluid Flow, Vol.20, pp.329-340   DOI   ScienceOn
15 1993, Durbin, P.A., "A Reynolds stress model for near-wall turbulence," J. Fluid. Mech., Vol.249 pp.465-498   DOI   ScienceOn
16 2000, Kenjeres, S. and Hanjalic, K., "Convective rolls and heat transfer in finite-length Rayleigh-Benard convection: A two-dimensional numerical study," Phys. Rev. E, Vol.62, pp.7987-7998   DOI   ScienceOn
17 2002, Kenjeres, S. and Hanjalic, K., "LES, Numerical insight into flow structure in ultraturbulent thermal convection," Phys. Rev. E, 66 036307 1-5.
18 1998, Kenjeres, S. "Numerical modeling of complex buoyancy-driven flows," Ph.D Thesis, Delft University of Technology, The Netherlands
19 2002, Manceau, R. and Hanjalic, K., "Elliptic blending model: a new near-wall Reynolds-stress turbulence closure Toward Improved prediction of heat transfer on turbine blades," Phys. Fluids, Vol.14, pp.744-754   DOI   ScienceOn
20 2006, Choi, S.K. and Kim, S.O., "Computation of a turbulent natural convection in a rectangular cavity with the elliptic-blending second-moment closure," Int. Comm. Heat Mass Transfer, Vol.33, pp.1217-1224   DOI   ScienceOn
21 2000, Niemela, J.J., Skrbek, L., Sreenivasan, K.R. and Donnelly, R.J. "Turbulent convection at very high Rayleigh numbers," Nature, Vol.404 pp.837-840   DOI   ScienceOn
22 1989, Goldhirsch, I., Pelz, R.B. and Orszag, S.A., "Numerical simulation of thermal convection in a two-dimensional finite box," J. Fluid Mech., Vol.199, pp.1-28   DOI   ScienceOn
23 1988, Chen, H.C. and Patel, V.C., "Near-wall turbulence models for complex flows including separation," AIAA J., Vol.26, pp.641-648   DOI   ScienceOn
24 1990, Paolucci, S., "Direct numerical simulation of two-dimensional turbulent natural convection in an enclosed cavity," J. Fluid Mech., Vol.215, pp.229-262   DOI