Elliptic Blending Model을 사용하여 자연대류 해석 시 난류열유속 처리법 비교

COMPARISON OF THE TREATMENTS OF TURBULENT HEAT FLUX FOR NATURAL CONVECTION WITH THE ELLIPTIC-BLENDING SECOND-MOMENT CLOSURE

  • 발행 : 2007.06.30

초록

A comparative study on the treatment of the turbulent heat flux with the elliptic blending second-moment closure for a natural convection flow is performed. Three cases of different treating the turbulent heat flux are considered. Those are the generalized gradient diffusion hypothesis (GGDH), the algebraic flux model (AFM) and the differential flux model (DFM). The constants in the models are adjusted with a primary emphasis placed on the accuracy of predicting the local Nusselt number. These models are implemented in a computer code specially designed for evaluation of turbulent models. Calculations are performed for a turbulent natural convection in the 1:5 rectangular cavity and the calculated results are compared with the available experimental data. The results show that the three models produce nearly the same accuracy of solutions. These results show that the GGDH, AFM and DFM models for treating the turbulent heat flux are sufficient for this simple shear flow where the shear production is dominant. It is observed that, in the weakly stratified region at the center zone of the cavity, the vertical velocity fluctuation is nearly zero in the GGDH solutions, which shows that the GGDH model may not be suitable for the strongly stratified flow. Thus, further study on the strongly stratified flow should be followed.

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. 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
  3. Ince, N.Z. and Launder, B.E., 1989, 'On the computation of buoyancy-driven turbulent flows in rectangular enclosures,' Int. J. Heat Fluid Flow, Vol.10, pp.110-117 https://doi.org/10.1016/0142-727X(89)90003-9
  4. Launder, B.E. and Sharma, B.I., 1974, 'Application of the energy dissipation model of turbulence to the calculation of flow near spinning disc,' Lett. In Heat and Mass Transfer, Vol.1, pp.131-138 https://doi.org/10.1016/0094-4548(74)90150-7
  5. 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
  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. Kenjeres, S., Gunarjo, S. B. and Hanjalic, K., 2005, 'Contribution to elliptic relaxation modelling of turbulent natural and mixed convection,' Int. J. Heat Fluid Flow, Vol.26, pp.569-586 https://doi.org/10.1016/j.ijheatfluidflow.2005.03.007