Transactions of the Korean Society of Mechanical Engineers B (대한기계학회논문집B)

The Korean Society of Mechanical Engineers (대한기계학회)
권호 표지
DOI QR코드

DOI QR Code

Prediction of Combined Forced and Natural Turbulent Convection in a Vertical Plane Channel with an Elliptic-Blending Second Moment Closure

타원-혼합 2차모멘트 모형에 의한 강제와 자연대류가 복합된 수직 평판 난류유동의 예측

  • 신종근 (한중대학교 자동차공학과) ;
  • 안정수 (고려대학교 대학원 기계공학과) ;
  • 최영돈 (고려대학교 기계공학과)
  • Published : 2005.11.01
Download PDF
⟨ Previous Next ⟩

Abstract

The elliptic conceptual second moment models for turbulent heat fluxes, which are proposed on the basis of elliptic-blending and elliptic-relaxation equations, are applied to calculate the combined forced and natural turbulent convection in a vertical plane channel. The models satisfy the near-wall balance between viscous diffusion, viscous dissipation and temperature-pressure gradient correlation, and also have the characteristics of approaching its respective conventional high Reynolds number model far away from the wall. Also the models are closely linked to the elliptic blending model which is used for the prediction of Reynolds stress. In order to calibrate the heat flux models, firstly, the distributions of mean temperature and scala flux in fully developed channel flow with constant wall difference temperature are solved by the present models. The buoyancy effect on the turbulent characteristics including the mean velocity and temperature, the Reynolds stress tensor, and the turbulent heat flux vector are examined. In the opposing flow, the turbulent transport is greatly enhanced with both the Reynolds stresses and the turbulent heat fluxes being remarkably increased; whereas, in the aiding flow, the opposite change is observed. The results of prediction are directly compared to the DNS to assess the performance of the model predictions and show that the behaviors of the turbulent heat transfer in the whole flow region are well captured by the present models.

Keywords

References

  1. Steiner, A.J., 1971, 'On The Reverse Transition of a Turbulent Flow Under the Action of Buoyancy Force,' J. Fluid Meeh., Vol. 47, pp. 503-512 https://doi.org/10.1017/S0022112071001198
  2. Easby, J.P., 1978, 'The Effect of Buoyancy on Flow and Heat Transfer for a Gas Passing Down a Vertical Pipe at Low Turbulent Reynolds Number,' Int. J. Heat Mass Transfer, Vol. 21, pp. 791-801 https://doi.org/10.1016/0017-9310(78)90041-8
  3. Nakajima, M., Fukui, K., Ueda, H. and Mizushina, T., 1980, 'Buoyancy Effects on Turbulent Transport in Combined Free and Forced Convection Between Vertical Parallel Plates,' Int. J. Heat Mass Transfer, Vol. 23, pp. 1325-1336 https://doi.org/10.1016/0017-9310(80)90207-0
  4. Carr, A.D., Connor, M.A. and Buhr, H.O., 1973, 'Velocity, Temperature and Turbulence Measurements in Air for Pipe Flow with Combined Free and Forced Convection,' J. Heat Transfer, Vol. 95, pp. 445-452 https://doi.org/10.1115/1.3450087
  5. 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. DNS database in 'http://www.thtlab.t.u-tokyo.ac.jp/' https://doi.org/10.1016/S0142-727X(96)00148-8
  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. Durbin, P.A., 1993, 'A Reynolds Stress Model For Near-Wall Turbulence,' J. Fluid Meeh., Vol. 249, pp. 465-498 https://doi.org/10.1017/S0022112093001259
  8. 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
  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. Launder, B.E., 1989, 'Second-Moment Closure: Present and Future?' Int. J. Heat Fluid Flow, Vol. 10. pp. 282-300 https://doi.org/10.1016/0142-727X(89)90017-9
  11. Shin, J.K., An, J.S. and Choi, Y.D., 2005, 'Elliptic Relaxation Second Moment Closure for Turbulent Heat Flux,' 4th Int. Symp. Turbulence and Shear Flow Phenomena, Williamsburg, VA USA, pp. 271-277
  12. Lai, Y.G. and So, R.M.C., 1990, 'Near-Wall Modeling of Turbulent Heat Fluxes,' Int. J. Heat Mass Transfer, Vol. 33, pp. 1429-1440 https://doi.org/10.1016/0017-9310(90)90040-2