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Study of airflow in a cold-region tunnel using a standard k − ε turbulence model and air-rock heat transfer characteristics: validation of the CFD results

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Abstract

An efficient computational fluid dynamics (CFD) method for simulating the flow and convective heat transfer process of airflow in a tunnel is required to analyze the freezing and thawing of surrounding rock and to apply the results to the design of the insulation layer for a tunnel located in a cold region. Comparisons of experimental data and CFD results using a standard k − ε turbulence model, a wall function, a thermal function and an adaptive finite element method are presented. Comparison of the results indicated that the proposed model and simulation method are efficient at determining the solid–air interface heat coefficient in a thin and infinitely wide horizontal plate and the hydrodynamic and thermal fields in a 3-D cavity. After demonstrating that the necessary validations are satisfied, this paper presents an analysis of the characteristics of airflow and air–rock heat transfer in a cold-region tunnel.

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References

  1. Anderson MB, Garrad AD, Hassan U (1984) Teeter excursions of a two-bladed horizontal-axis wind-turbine rotor in a turbulent velocity field. J Wind Eng Ind Aerodyn 17(1):71–88

    Article  Google Scholar 

  2. Balabel A, El-Askary WA (2011) On the performance of linear and nonlinear k − ε turbulence models in various jet flow applications. Eur J Mech B Fluids 30(3):325–340

    Article  Google Scholar 

  3. Bazargan M, Mohseni M (2012) Algebraic zero-equation versus complex two-equation turbulence modeling in supercritical fluid flows. Comput Fluids 60:49–57

    Article  Google Scholar 

  4. Bejan A (1993) Heat transfer. Wiley, New York

    Google Scholar 

  5. Blay D, Mergui S, Niculae C (1992) Confined turbulent mixed convection in the presence of a horizontal buoyant wall jet. Fundam Mix Convect HTD 213:65–72

    Google Scholar 

  6. Bukhari SJK, Siddiquia K (2008) An experimental study of the airside flow structure during natural convection. Phys Fluids 20(12):1–11

    Article  Google Scholar 

  7. Chen Q (1995) Comparison of different k-ε models for indoor air flow computations. Numer Heat Transf B Fundam 28(3):353–369

    Article  Google Scholar 

  8. Comini G, Del Guidice S, Lewis RW, Zienkiewicz OC (1974) Finite element solution of nonlinear heat conduction problems with special reference to phase change. Int J Numer Methods Eng 8:613–624

    Article  MATH  Google Scholar 

  9. Defraeye T, Blocken B, Carmeliet J (2010) CFD analysis of convective heat transfer at the surfaces of a cube immersed in a turbulent boundary layer. Int J Heat Mass Transf 53:297–308

    Article  MATH  Google Scholar 

  10. Ezzouhri R, Joubert P, Penot F, Mergui Sophie (2009) Large Eddy simulation of turbulent mixed convection in a 3D ventilated cavity: comparison with existing data. Int J Therm Sci 48:2017–2024

    Article  Google Scholar 

  11. Germano M, Piomelli U, Moin P, Cabot WH (1991) A dynamic subgrid-scale eddy viscosity model. J Phys Fluids A 3:1760–1765

    Article  MATH  Google Scholar 

  12. Hagishima A, Tanimoto J (2003) Field measurements for estimating the convective heat transfer coefficient at building surfaces. Build Environ 38(7):873–881

    Article  Google Scholar 

  13. Harlan RL (1973) Analysis of coupled heat-fluid transport in partially frozen soil. Water Resour Res 9:1314–1323

    Article  Google Scholar 

  14. He CX, Wu ZW (1996) Preliminary prediction for the freezing–thawing situation in rock surrounding DabanShan tunnel. In: The dissertations of the fifth national conference on glaciology and geocryology. Culture Press of Gansu, LanZhou, pp 419–425

  15. Ilinca F, Pelletier D, Garon A (1997) An adaptive finite element method for a two-equation turbulence model in wall-bounded flows, Internat. J Numer Methods Fluids 24:101–120

    Article  MATH  Google Scholar 

  16. Kalitzin G, Medic G, Iaccarino G, Durbin Paul (2005) Near-wall behavior of RANS turbulence models and implications for wall functions. J Comput Phys 204:265–291

    Article  MATH  Google Scholar 

  17. Lacasse D, Turgeon É, Pelletier D (2004) On the judicious use of the k-ε model, wall functions and adaptivity. Int J Therm Sci 43:925–938

    Article  Google Scholar 

  18. Lai YM, Wu ZW, Zhu YL, Zhu LN (1999) Nonlinear analysis for the coupled problem of temperature and seepage fields in cold-region tunnels. Cold Reg Sci Technol 29:89–96

    Article  Google Scholar 

  19. Lai YM, Wu ZW, Zhu YL, Zhu LN (1998) Nonlinear analysis for the coupled problem of temperature, seepage and stress fields in cold-region tunnels. Tunn Undergr Space Technol 13:435–436

    Article  Google Scholar 

  20. Launder BE (1991) Current capabilities for modeling turbulence in industrial flows. Appl Sci Res 48:247–269

    Article  MATH  Google Scholar 

  21. Lilly DK (1992) A proposed modification of the Germano subgrid-scale closure method. J Phys Fluids A 4:633–635

    Article  Google Scholar 

  22. Liu Y, Harris DJ (2007) Full-scale measurements of convective coefficient on external surface of a low-rise building in sheltered conditions. Build Environ 42(7):2718–2736

    Article  Google Scholar 

  23. Lotfi R, Saboohi Y, Rashidi AM (2010) Numerical study of forced convective heat transfer of nanofluids: comparison of different approaches. Int Commun Heat Mass Transf 37:74–78

    Article  Google Scholar 

  24. Loveday DL, Taki AH (1996) Convective heat transfer coefficients at a plane surface on a full-scale building façade. Int J Heat Mass Transf 39(8):1729–1742

    Article  Google Scholar 

  25. Ng KC, Abdul Aziz MA, Ng EYK (2011) On the effect of turbulent intensity towards the accuracy of the zero-equation turbulence model for indoor airflow application. Build Environ 46(1):82–88

    Article  Google Scholar 

  26. Nielsen PV, Restivo A, Whitelaw JH (1978) The velocity characteristics of ventilated room. ASME J Fluids Eng 100:291–298

    Article  Google Scholar 

  27. Pelletier D, Ignat L, Ilinca F (1997) Adaptive finite element method for conjugate heat transfer. Numer Heat Transf A 32(3):267–287

    Article  Google Scholar 

  28. Rodi W, Ferziger JH, Breuer M, Pourquie M (1997) Status of large eddy simulation: results of a workshop. ASME J Fluids Eng 119:248–262

    Article  Google Scholar 

  29. Tan XJ, Chen WZ, Tian HM, Cao JJ (2011) Water flow and heat transport including ice/water phase change in porous media: numerical simulation and application. Cold Reg Sci Technol 68(1):74–84

    Article  Google Scholar 

  30. Turgeon É, Pelletier D, Ignat L (2000) Effects of adaptivity on various finite element schemes for turbulent heat transfer and flow predictions. Numer Heat Transf A 38:847–868

    Article  Google Scholar 

  31. Wijeysundera NE, Chou SK, Jayamaha SEG (1993) Heat flow from walls under transient rain conditions. J Therm Insul Build Envel 17:118–143

    Google Scholar 

  32. Zhang W, Chen QY (2000) Large eddy simulation of indoor airflow with a filtered dynamic subgrid scale model. Int J Heat Mass Transf 43:3219–3231

    Article  MATH  Google Scholar 

  33. Zhang XF, Lai YM, Yu WB, Zhang SJ (2002) Nonlinear analysis for the three-dimensional temperature fields in cold region tunnels. Cold Reg Sci Technol 35:207–219

    Article  Google Scholar 

  34. Zhang XF, Lai YM, Yu WB, Zhang SJ, Xiao JZ (2004) Forecast analysis of the refreezing of Kunlun mountain permafrost tunnel on Qing–Tibet railway in China. Cold Reg Sci Technol 39:19–31

    Article  Google Scholar 

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Acknowledgments

This work was supported by the National Natural Science Foundation of China (Grant Nos. 41072238) and the National Natural Science Foundation International Cooperation Projects of China (Grant Nos. 50720135906).

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Correspondence to Xianjun Tan.

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Tan, X., Chen, W., Wu, G. et al. Study of airflow in a cold-region tunnel using a standard k − ε turbulence model and air-rock heat transfer characteristics: validation of the CFD results. Heat Mass Transfer 49, 327–336 (2013). https://doi.org/10.1007/s00231-012-1081-z

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  • DOI: https://doi.org/10.1007/s00231-012-1081-z

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