Skip to main content
Log in

Large eddy simulation of hot and cold fluids mixing in a T-junction for predicting thermal fluctuations

  • Published:
Applied Mathematics and Mechanics Aims and scope Submit manuscript

Abstract

Temperature fluctuations in a mixing T-junction have been simulated on the FLUENT platform using the large eddy simulation (LES) turbulent flow model and a sub-grid scale Smagorinsky-Lilly model. The normalized mean and root mean square temperatures for describing time-averaged temperature and temperature fluctuation intensity, and the velocity are obtained. The power spectrum densities of temperature fluctuations, which are key parameters for thermal fatigue analysis and lifetime evaluation, are analyzed. Simulation results are consistent with experimental data published in the literature, showing that the LES is reliable. Several mixing processes under different conditions are simulated in order to analyze the effects of varying Reynolds number and Richardson number on the mixing course and thermal fluctuations.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Lee, H. Y., Kim, J. B., and Yoo, B. Green’s function approach for crack propagation problem subjected to high cycle thermal fatigue loading. International Journal of Pressure Vessels and Piping 76(8), 487–494 (1999)

    Article  Google Scholar 

  2. Jones, I. S. Impulse response model of thermal striping for hollow cylindrical geometries. Theoretical and Applied Fracture Mechanics 43(1), 77–88 (2005)

    Article  Google Scholar 

  3. Young, L. J. Lifetime evaluation of cracked shaft sleeve of reactor coolant pump under thermal striping. International Journal of Solids and Structures 38(46–47), 8345–8358 (2001)

    Article  MATH  Google Scholar 

  4. Meshii, T., Shibata, K., and Watanabe, K. Simplified method to evaluate upper limit stress intensity factor range of an inner-surface circumferential crack under steady state thermal striping. Nuclear Engineering and Design 236(10), 1081–1085 (2006)

    Article  Google Scholar 

  5. Lejeaila, Yves and Kasahara, N. Thermal fatigue evaluation of cylinders and plates subjected to fluid temperature fluctuations. International Journal of Fatigue 27(7), 768–772 (2005)

    Article  Google Scholar 

  6. Labbe, O., Maglaras, E., and Garnier, F. Large-eddy simulation of a turbulent jet and wake vortex interaction. Computers & Fluids 36(4), 772–785 (2007)

    Article  Google Scholar 

  7. Majander, Petri and Siikonen, T. Large-eddy simulation of a round jet in a cross-flow. International Journal of Heat and Fluid Flow 27(3), 402–415 (2006)

    Article  Google Scholar 

  8. Fan, J. Y., Zhang, Y., and Wang, D. Z. Large-eddy simulation of three-dimensional vortical structures for an impinging transverse jet in the near region. Journal of Hydrodynamics, Series B 19(3), 314–321 (2007)

    Article  Google Scholar 

  9. Popovac, M. and Hanjalic, K. Large-eddy simulations of flow over a jet-impinged wall-mounted cube in a cross stream. International Journal of Heat and Fluid Flow 28(6), 1360–1378 (2007)

    Article  Google Scholar 

  10. Afgan, I., Moulinec, C., Prosser, R., and Laurence, D. Large eddy simulation of turbulent flow for wall mounted cantilever cylinders of aspect ratio 6 and 10. International Journal of Heat and Fluid Flow 28(4), 561–574 (2007)

    Article  Google Scholar 

  11. Jiang, P. et al. Frequency characteristics of coherent structures and their excitations in small aspect-ratio rectangular jets using large eddy simulation. Computers & Fluids 36(3), 611–621 (2007)

    Article  Google Scholar 

  12. Simoneau, J. P., Champigny, J., and Gelineau, O. Applications of large eddy simulations in nuclear field. Nuclear Engineering and Design (in Press)

  13. Lee, J. I., Hu, L. W., Saha, P., and Mujids, K. Numerical analysis of thermal striping induced high cycle thermal fatigue in a mixing tee. Nuclear Engineering and Design 239(5), 833–839 (2009)

    Article  Google Scholar 

  14. Hu, L. W. and Kazimi, M. S. LES benchmark study of high cycle temperature fluctuations caused by thermal striping in a mixing tee. International Journal of Heat and Fluid Flow 27(1), 54–64 (2006)

    Article  Google Scholar 

  15. Wegner, B., Huai, Y., and Sadiki, A. Comparative study of turbulent mixing in jet in cross-flow configurations using LES. International Journal of Heat and Fluid Flow 25(5), 767–775 (2004)

    Article  Google Scholar 

  16. Tokuhiro, A. and Kimura, N. An experimental investigation on thermal striping mixing phenomena of a vertical non-buoyant jet with two adjacent buoyant jets as measured by ultrasound Doppler velocimetry. Nuclear Engineering and Design 188, 49–73 (1999)

    Article  Google Scholar 

  17. Naoya, Fukushima, Koji, Fukagata, and Kasagi, N. Numerical and experimental study on turbulent thermal mixing in a T-junction flow. The 6th ASME-JSME Thermal Engineering Joint Conference, Hawaii, TED-AJ03-582 (2003)

  18. Temmerman, L., Leschizner, M. A., Mellen, C. P., and Froehcich, J. Investigation of wall-function approximations and subgrid-scale models in large eddy simulation of spearated flow in a channel with streamwise periodic constrictions. International Journal of Heat and Fluid Flow 24(2), 157–180 (2003)

    Article  Google Scholar 

  19. Wang, Y., Yuan, G., Yoon, Y. K., Allen, M. G., and Bidstrup, S. A. Large eddy simulation (LES) for synthetic jet thermal management. International Journal of Heat and Mass Transfer 49(13–14), 2173–2179 (2006)

    Article  Google Scholar 

  20. Smagorinsky, J. General circulation experiments with the primitive equations, I, the basic experiment. Monthly Weather Review 91(3), 99–164 (1963)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Tao Lu  (卢涛).

Additional information

Communicated by Zhe-wei ZHOU

Project supported by the National Natural Science Foundation of China (No. 50906002) and Beijing Novel Program (No. 2008B16)

Rights and permissions

Reprints and permissions

About this article

Cite this article

Zhu, Wy., Lu, T., Jiang, Px. et al. Large eddy simulation of hot and cold fluids mixing in a T-junction for predicting thermal fluctuations. Appl. Math. Mech.-Engl. Ed. 30, 1379–1392 (2009). https://doi.org/10.1007/s10483-009-1104-7

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10483-009-1104-7

Key words

Chinese Library Classification

2000 Mathematics Subject Classification

Navigation