설비공학논문집 (Korean Journal of Air-Conditioning and Refrigeration Engineering)

  • 제19권12호
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  • Pages.831-841
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  • 2007
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  • 1229-6422(pISSN)
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  • 2465-7611(eISSN)
대한설비공학회 (The Society of Air-Conditioning and Refrigerating Engineers of Korea)
권호 표지

타원 방정식을 사용하는 2차모멘트 모형에 의한 성층된 난류 평판유동의 예측

Prediction of Stratified Turbulent Channel Flows with an Second Moment Model Using the Elliptic Equations

  • 발행 : 2007.12.10
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초록

This work is to extend the elliptic operator, which has been already adopted in turbulent stress model, to fully developed turbulent buoyant channel flows with changing the orientation of the buoyancy vector to be perpendicular to the channel walls. The turbulent heat flux models based on the elliptic concept are employed and closely linked to the elliptic blending second moment closure which is used for the prediction of Reynolds stresses. In order to reflect the stable or unstable stratification conditions, the present model introduces the gradient Richardson number into the thermal to mechanical time scale ratio and model coefficients. The present model has been applied for the computation of stably and unstably stratified turbulent channel flows and the prediction results are directly compared to the DNS data.

키워드

참고문헌

  1. lida, O. and Kasagi, N., 1997, Direct numerical simulation of unstably stratified turbulent channel flow, J. Heat Transfer, Vol. 119, pp. 53-61 https://doi.org/10.1115/1.2824100
  2. Iida, O., Kasagi, N. and Nagano, Y. 2002, Direct numerical simulation of turbulent channel flow under stable density stratification, lnt. J. Heat Mass Transfer, Vol. 45, pp. 1693-1703 https://doi.org/10.1016/S0017-9310(01)00271-X
  3. Hattori, H., Morita, A. and Nagano, Y., 2006, Nonlinear eddy diffusivity models reflecting buoyancy effect for wall-shear flows and heat transfer, lnt. J. Heat Fluid Flow, Vol. 27. pp. 671-683 https://doi.org/10.1016/j.ijheatfluidflow.2006.02.012
  4. 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
  5. Shin, J. K, An, J. S. and Choi, Y. D., 2005, Prediction of combined forced and natural convection in a vertical plane channel with an elliptic-blending second moment closure, Trans. of the KSME(B), Vol. 29, pp. 1265-1276
  6. Thielen, L., Hanjalic, K., Jonker, H. and Manceau, R., 2004, 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 https://doi.org/10.1016/j.ijheatmasstransfer.2004.10.025
  7. Speziale, C. G., Sarkar, S. and Gatski. T. B., 1991, Modeling of the pressure-strain correlation tensor: an invariant dynamical systems approach, J. Fluid Mech., Vol. 227, pp. 245-272 https://doi.org/10.1017/S0022112091000101
  8. Durbin, P. A., 1993, A Reynolds stress model for near-wall turbulence, J. Fluid Mech., Vol. 249, pp. 465-498 https://doi.org/10.1017/S0022112093001259
  9. Launder, B. E., 1988, On the computation of convective heat transfer in complex turbulent flow, J. Heat Transfer, Vol.110, pp.1112-1128 https://doi.org/10.1115/1.3250614
  10. Kasagi, N. and Nishimura, M., 1997, Direct numerical simulation of combined forced and natural turbulent convection in a vertical plane channel, Int. J. Heat Fluid Flow, Vol. 18 pp. 88-99 https://doi.org/10.1016/S0142-727X(96)00148-8