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ANALYSIS OF A STRATIFIED NATURAL CONVECTION FLOW WITH THE SECOND-MOMENT CLOSURE

  • 발행 : 2007.09.30

초록

A computational study on a strongly stratified natural convection is performed with the elliptic blending second-moment closure. The turbulent heat flux is treated by both the algebraic flux model (AFM) and the differential flux model (DFM). Calculations are performed for a turbulent natural convection in a square cavity with conducting top and bottom walls and the calculated results are compared with the available experimental data. The results show that both the AFM and DFM models produce very accurate solutions with the elliptic-blending second-moment closure without invoking any numerical stability problems. These results show that the AFM and DFM models for treating the turbulent heat flux are sufficient for this strongly stratified flow. However, a slight difference between two models is observed for some variables.

키워드

참고문헌

  1. King, K.V., 1989, "Turbulent natural convection in rectangular air cavityies", Ph.D Thesis, Queen Mary College, University of London, UK
  2. Ampofo, F. and Karayiannis, T.G., 2003, "Experimental benchmark data for turbulent natural convection in an air filled square cavity," Int. J. Heat Mass transfer, Vol.46, pp.3551-3572 https://doi.org/10.1016/S0017-9310(03)00147-9
  3. Choi, S.K. and Kim, S.O., 2006, "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 https://doi.org/10.1016/j.icheatmasstransfer.2006.08.007
  4. Choi, S.K. and Kim, S.O., 2007, "Comparison of the treatments of turbulent heat flux for natural convection with the elliptic-blending second-moment closure," Korean Comput. Fluid Engin. J., Vol. 12, pp.26-31
  5. Thielen, L., Hanjalic, K, Jonker, H. and Manceau, 2005, "Predictions of fow and heat transfer in multiple impinging jets with an elliptic-blending second-moment closure" Int. J. Heat Mass Transfer, Vol.48, pp.1583-1598 https://doi.org/10.1016/j.ijheatmasstransfer.2004.10.025
  6. Kenjeres, S. and Hanjalic, K., 1995, "Prediction of turbulent thermal convection in concentric and eccentric annuli," Int. J. Heat Fluid Flow, Vol.16, pp.428-439
  7. Shin, J.K., An, J.S. and Choi, Y.D., 2005, "Elliptic relaxation second moment closure for turbulent heat Flux," Proceedings of 4th Int. Symp. Turbulence and Shear Flow Phenomenon, Williasburg, VA USA, pp.271-277
  8. Peng, S.H. and Davidson, L., 2001, "Large eddy simulation of turbulent buoyant flow in a confined cavity," Int. J. Heat Fluid Flow, Vol.22, pp.323-331 https://doi.org/10.1016/S0142-727X(01)00095-9