Abstract
Mixing processes of hot and cold fluids in a tee with and without sintered copper spheres are simulated by FLUENT using the large-eddy simulation (LES) turbulent flow model and the sub-grid scale (SGS) Smagorinsky-Lilly (SL) model with buoyancy. Comparisons of numerical results of the two cases with and without sintered copper spheres show that the porous medium significantly reduces velocity and temperature fluctuations because the porous medium can effectively restrict the fluid flow and enhance heat transfer. The porous medium obviously increases the pressure drop in the main duct. The porous medium reduces the power spectrum density (PSD) of temperature fluctuations in the frequency range from 1 Hz to 10 Hz.
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Zhu, W. Y., Lu, T., Jiang, P. X., Guo, Z. J., and Wang, K. S. Large-eddy simulation of hot and cold fluids mixing in a T-junction for predicting thermal fluctuations. Applied Mathematics and Mechanics (English Edition), 30(11), 1379–1392 (2009) DOI 10.1007/s10483-009-1104-7
Kuhn, S., Braillard, O., Niceno, B., and Prasser, H. M. Computational study of conjugate heat transfer in T-junctions. Nuclear Engineering and Design, 240(6), 1548–1557 (2010)
Lee, J. I., Hu, L. W., Saha, P., and Kazimi, M. S. Numerical analysis of thermal striping induced high cycle thermal fatigue in a mixing tee. Nuclear Engineering and Design, 239(5), 833–839 (2009)
Frank, T., Lifante, C., Prasser, H. M., and Menter, F. Simulation of turbulent and thermal mixing in T-junctions using URANS and scale-resolving turbulence models in ANSYS CFX. Nuclear Engineering and Design, 240(9), 2313–2328 (2010)
Metzner, K. J. and Wilke, U. European THERFAT project-thermal fatigue evaluation of piping system “tee”-connections. Nuclear Engineering and Design, 235(2–4), 473–484 (2005)
Kuczaj, A. K., Komen, E. M. J., and Loginov, M. S. Large-eddy simulation study of turbulent mixing in a T-junction. Nuclear Engineering and Design, 240(9), 2116–2122 (2010)
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)
Simoneau, J. P., Champigny, J., and Gelineau, O. Applications of large eddy simulations in nuclear field. Nuclear Engineering and Design, 240(2), 429–439 (2010)
Whitaker, S. Simultaneous heat, mass, and momentum transfer in porous medium: a theory of drying. Advances in Heat Transfer, 13, 119–203 (1977)
Jang, J. Y. and Chen, J. L. Forced convection in a parallel plate channel partially filled with a high porosity medium. International Communications in Heat and Mass Transfer, 19(2), 263–273 (1992)
Saito, M. B. and de Lemos, M. J. S. A macroscopic two-energy equation model for turbulent flow and heat transfer in highly porous medium. International Journal of Heat and Mass Transfer, 53(11–12), 2424–2433 (2010)
Yang, Y. T. and Hwang, M. L. Numerical simulation of turbulent fluid flow and heat transfer characteristics in heat exchangers fitted with porous medium. International Journal of Heat and Mass Transfer, 52(13–14), 2956–2965 (2009)
Huang, Z. F., Nakayama, A., Yang, K., Yang, C., and Liu, W. Enhancing heat transfer in the core flow by using porous medium insert in a tube. International Journal of Heat and Mass Transfer, 53(5–6), 1164–1174 (2010)
Amiri, A. and Vafai, K. Analysis of dispersion effects and non-thermal equilibrium, non-Darcian, variable porosity incompressible flow through porous medium. International Journal of Heat and Mass Transfer, 37(6), 939–954 (1994)
Quintard, M. and Whitaker, S. Local thermal equilibrium for transient heat conduction: theory and comparison with numerical experiments. International Journal of Heat and Mass Transfer, 38(15), 2779–2796 (1995)
Whitaker, S. Improved constraints for the principle of local thermal equilibrium. Industrial and Engineering Chemistry Research, 30(5), 983–997 (1991)
Lu, T., Jiang, P. X., Guo, Z. J., Zhang, Y. W., and Li, H. Large-eddy simulations (LES) of temperature fluctuations in a mixing tee with/without a porous medium. International Journal of Heat and Mass Transfer, 53(21–22), 4458–4466 (2010)
Saito, M. B. and de Lemos, M. J. S. Interfacial heat transfer coefficient for non-equilibrium convective transport in porous medium. International Communications in Heat and Mass Transfer, 32(5), 666–676 (2005)
Saito, M. B. and de Lemos, M. J. S. Laminar heat transfer in a porous channel simulated with a two-energy equation model. International Communications in Heat and Mass Transfer, 36(10), 1002–1007 (2009)
Kuwahara, F., Shirota, M., and Nakayama, A. A numerical study of interfacial convective heat transfer coefficient in two-energy equation model for convection in porous medium. International Journal of Heat and Mass Transfer, 44(6), 1153–1159 (2001)
Jiang, P. X., Meng, L., Ma, Y. C., and Ren, Z. P. Boundary conditions and wall effect for forced convection heat transfer in sintered porous plate channels. International Journal of Heat and Mass Transfer, 47(10–11), 2073–2083 (2004)
Jiang, P. X. and Ren, Z. P. Numerical investigation of forced convection heat transfer in porous medium using a thermal non-equilibrium model. International Journal of Heat and Fluid Flow, 22(1), 102–110 (2001)
Wakao, N., Kaguei, S., and Funazkri, T. Effect of fluid dispersion coefficients on particle-to-fluid heat transfer coefficients in packed bed. Chemical Engineering Science, 34(3), 325–336 (1979)
Jiang, P. X. and Lu, X. C. Numerical simulation of fluid flow and convection heat transfer in sintered porous plate channels. International Journal of Heat and Mass Transfer, 49(9–10), 1685–1695 (2006)
Kuwahara, F., Yamane, T., and Nakayama, A. Large eddy simulation of turbulent flow in porous medium. International Communications in Heat and Mass Transfer, 33(4), 411–418 (2006)
Fukushima, N., Fukagata, K., and Kasagi, N. Numerical and experimental study on turbulent thermal mixing in a T-junction flow. The 6th ASME-JSME Thermal Engineering Joint Conference, CD-ROM Publicaton, Hawaii (2003)
Pope, S. B. Turbulence Flow, Cambridge University Press, Cambridge (2000)
Temmerman, L., Leschziner, M. A., Mellen, C. P., and Fröhlich, J. Investigation of wall-function approximations and subgrid-scale models in large eddy simulation of separated flow in a channel with streamwise periodic constrictions. International Journal of Heat and Fluid Flow, 24(2), 157–180 (2003)
Majander, P. 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)
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)
Smagorinsky, J. General circulation experiments with the primitive equations: I. the basic experiment. Monthly Weather Review, 91(3), 99–164 (1963)
Lilly, D. K. On the Application of the Eddy Viscosity Concept in the Inertial Subrange of Turbulence, National Center for Atmospheric Research, NCAR-123, Colorado (1966)
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)
Kimura, K. Thermal striping in mixing tees with hot and cold water (type A: characteristics of flow visualization and temperature fluctuations in collision type mixing tees with same pipe diameter). The Third Korea-Japan Symposium on Nuclear Thermal Hydraulics and Safety, CDROM Publicaton, Korea (2002)
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Project supported by the National Natural Science Foundation of China (No. 50906002), the National Basic Research Program of China (No. 2011CB706900), the Research Fund for the Doctoral Program of Higher Education of China (No. 20090010110006), and the Beijing Novel Program of China (No. 2008B16)
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Wang, Yw., Lu, T., Jiang, Px. et al. Large-eddy simulation of fluid mixing in tee with sintered porous medium. Appl. Math. Mech.-Engl. Ed. 33, 911–922 (2012). https://doi.org/10.1007/s10483-012-1594-9
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DOI: https://doi.org/10.1007/s10483-012-1594-9