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Assessment of Explicit Algebraic Stress/Heat-Flux Models for Reduction of Heat Transfer in a Vertical Pipe with Intense Heating

Explicit Algebraic Stress/Heat-Flux 모형을 이용한 벽면가열이 높은 수직관 내의 열전달 감소에 대한 수치적 해석

  • 백성구 (한국과학기술원 항공우주공학과) ;
  • 박승오 (한국과학기술원 항공우주공학과)
  • Published : 2003.12.01

Abstract

This paper assesses the prediction performance of explicit algebraic stress and heat-flux models for reduction of heat transfer coefficient in a strongly-heated vertical tube. Two explicit algebraic stress models and four explicit algebraic heat-flux models are selected for assessment. Eight combinations of explicit algebraic stress and heat-flux models are used in predicting the turbulent gas flows with intense heating, which yields the significant property-variation. The results showed that the two combinations of GS-AKN and WJ-mAKN predicted the Nusselt number and the axial wall temperature variations well and that the predictions of Nusselt number with WJ-combinations spread in a wider range than those with Gs-combinations. WJ is the explicit algebraic stress model of Wallin and Johansson and GS is the model of Gatski and Speziale and that AKN is the explicit heat-flux model of Abe, Kondoh and Nagano and mAKN is the modified AKN.

Keywords

References

  1. Jackson, J. D., Cotton, M. A. and Axcell, B. P., 1989, 'Studies of Mixed Convection in Vertical Tubes,' International Journal of Heat and Fluid Flow, Vol. 10, pp. 2-15 https://doi.org/10.1016/0142-727X(89)90049-0
  2. Satakem, S,-i,, Kunugi, T., Shehata, A. M. and McEligot, D. M., 2000, 'Direct Numerical Simulation for Laminarization of Turbulent Forced Gas Flows in Circular Tubes with Strong Heating,' International Journal of Heat and Fluid Flow, Vol. 21, pp. 526-534 https://doi.org/10.1016/S0142-727X(00)00041-2
  3. Shehata, A. M. and McEligot, D. M., 1998, 'Mean Structure in the Viscous Layer of Strongly-Heated Internal Gas Flows. Measurements,' International Journal of Heat and Mass Transfer, Vol. 41, pp. 4297-4313 https://doi.org/10.1016/S0017-9310(98)00088-X
  4. Nishimura, M., Fujii, S., Shehata, A. M., Kunugi, T. and McEligot, D. M., 2000, 'Prediction of Forced Gas Flows in Circular Tubes at High Heat Fluxes Accompanied by Laminarization,' Journal of Nuclear and Technology, Vol. 37, pp. 581-594 https://doi.org/10.3327/jnst.37.581
  5. Cotton, M. A., Ismael, J. O. and Kirwin, P. J., 2001, 'Computations of Post-Strip Reactor Core Thermal Hydraulics Using a Strain Parameter Turbulence Model,' Nuclear Engineering and Design, Vol. 208, pp. 51-66 https://doi.org/10.1016/S0029-5493(01)00352-1
  6. Mikielewicz, D. P., Shehata, A. M., Jackson, J. D. and McEligot, D. M., 2002, 'Temperature, Velocity and Mean Turbulent Structure in Strongly Heated Internal Gas Flows, Comparison of Numerical Predictions with Data,' International Journal of Heat and Mass Transfer, Vol. 45, pp. 4333-4352 https://doi.org/10.1016/S0017-9310(02)00119-9
  7. Launder, B. E. and Sharma, B. I., 1974, 'Application of the Energy Dissipation Model of Turbulence to the Calculation of Flow near a Spining Disc,' Letters in Heat Transfer, Vol. 1, pp. 131-138 https://doi.org/10.1016/0094-4548(74)90150-7
  8. Gatski, T. B. and Speziale, C. G., 1993, 'On Explicit Algebraic Stress Models for Complex Turbulent Flows,' Journal of Fluid Mechanics, Vol. 254, pp. 59-78 https://doi.org/10.1017/S0022112093002034
  9. Abid, R., Rumsey, C. L. and Gatski, T. B., 1995, 'Prediction of Nonequilibrium Turbulent Flows with Explicit Algebraic Models,' AIAA Journal, Vol. 33, pp. 2026-2031 https://doi.org/10.2514/3.12943
  10. Abid, R., Morrison, J. H., Gatski, T. B. and Speziale, C. G., 1996, 'Prediction of Aerodynamic Flows with a New Explicit Algebraic Stress Model,' AIAA Journal, Vol. 34, pp. 2632-2635 https://doi.org/10.2514/3.13451
  11. Jogen, T., Mompean, G. and Gatski, T. B., 1998, 'Accounting for Reynolds Stress and Dissipation Rate Anisotropies in Inertial and Noninertial Frames,' Physics of Fluids, Vol. 10, pp. 674-684 https://doi.org/10.1063/1.869593
  12. Wallin, S. and Johansson, A. V., 2000, 'An Explicit Algebraic Renolds Stress Model for Incompressible and Compressible Turbulent Flows,' Journal of Fluid Mechanics, Vol. 403, pp. 89-132 https://doi.org/10.1017/S0022112099007004
  13. Abe, K., Kondoh, T. and Nagano, Y., 1996, 'A Two-Equation Heat Transfer Model Reflecting Second-Moment Closures for Wall and Free Turbulent Flows,' International Journal of Heat and Fluid Flow, Vol. 17, pp. 228-237 https://doi.org/10.1016/0142-727X(96)00037-9
  14. Suga, K. and Abe, K., 2000, 'Nonlinear Eddy Viscosity Modelling for Turbulence and Heat Transfer near Wall and Shear-Free Boundaries,' International Journal of Heat and Fluid Flow, Vol. 21, pp. 37-48 https://doi.org/10.1016/S0142-727X(99)00060-0
  15. Kenjeres, S. and Hanjalic, K., 2002, 'Convective Rolls and Heat Transfer in Finite-Length Rayleigh-Benard Convection: A Two-Dimensional Numerical Study,' Physics of Fluids, Vol. 62, pp. 7987-7998
  16. Kenjeres, S. and Hanjalic, K., 1995, 'Prediction of Turbulent Thermal Convection in Concentric and Eccenstric Horizontal Annuli,' International Journal of Heat and Fluid Flow, Vol. 16, pp. 429-439 https://doi.org/10.1016/0142-727X(95)00051-Q
  17. So, R. M. C. and Sommer, T. P., 1996, 'An Explicit Algebraic Heat-Flux Model for the Temperature Field,' International Journal of Heat and Mass Transfer, Vol. 39, pp. 455-465 https://doi.org/10.1016/0017-9310(95)00157-5
  18. Hanjalic, K., 2002, 'One-Point Closure Models for Buoyancy-Driven Turbulent Flows,' Annual Reviews of Fluid Mechanics, Vol. 34, pp. 321-347 https://doi.org/10.1146/annurev.fluid.34.082801.161035
  19. Ezato, K., Shehata, A. M., Kunugi, T. and McEligot, D. M., 1999, 'Numerical Prediction of Transitional Features of Turbulent Forced Gas Flows in Circular Tubes with Strong Heating,' Journal of Heat Transfer-Transactions of the ASME, Vol. 121, pp. 546-555 https://doi.org/10.1115/1.2826015
  20. International Journal of Heat and Fluid Flow v.16 Prediction of Turbulent Thermal Convection in Concentric and Eccenstric Horizontal Annuli Kenjeres,S.;Hanjalic,K. https://doi.org/10.1016/0142-727X(95)00051-Q
  21. International Journal of Heat and Mass Transfer v.39 An Explicit Algebraic Heat-Flux Model for the Temperature Field So,R.M.C.;Sommer,T.P. https://doi.org/10.1016/0017-9310(95)00157-5
  22. Annual Reviews of Fluid Mechanics v.34 One-Point Closure Models for Buoyancy-Driven Turbulent Flows Hanjalic,k. https://doi.org/10.1146/annurev.fluid.34.082801.161035
  23. Journal of Heat Transfer-Transactions of the ASME v.121 Numerical Prediction of Transitional Features of Turbulent Forced Gas Flows in Circular Tubes with Strong Heating Ezato,K.;Shehata,A.M.;Kunugi,T.;McEligot,D.M. https://doi.org/10.1115/1.2826015