Journal of computational fluids engineering (한국전산유체공학회지)

Korean Society of Computational Fluids Engineering (한국전산유체공학회)
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COMPUTATION OF LAMINAR NATURAL CONVECTION OF NANOFLUID USING BUONGIORNO'S NONHOMOGENEOUS MODEL

Buongiorno의 비균질 모델을 사용한 나노유체의 층류 자연대류 해석

  • Choi, S.K. (Fast Reactor Design Division, Korea Atomic Energy Research Institute) ;
  • Kim, S.O. (Fast Reactor Design Division, Korea Atomic Energy Research Institute) ;
  • Lee, T.H. (Fast Reactor Design Division, Korea Atomic Energy Research Institute)
  • 최석기 (한국원자력연구원 고속로설계부) ;
  • 김성오 (한국원자력연구원 고속로설계부) ;
  • 이태호 (한국원자력연구원 고속로설계부)
  • Received : 2013.08.20
  • Accepted : 2013.11.06
  • Published : 2013.12.31
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Abstract

A numerical study of a laminar natural convection of the CuO-water nanofluid in a square cavity using the Buongiorno's nonhomogeneous model is presented. All the governing equations including the volume fraction equation are discretized on a cell-centered, non-uniform grid employing the finite-volume method with a primitive variable formulation. Calculations are performed over a range of Rayleigh numbers and volume fractions of the nanopartile. From the computed results, it is shown that both the homogeneous and nonhomogeneous models predict the deterioration of the natural convection heat transfer well with an increase of the volume fraction of nanoparticle at the same Rayleigh number, which was observed in the previous experimental studies. It is also shown that the differences in the computed results of the average Nusselt number at the wall between the homogeneous and nonhomogeneous models are very small, and this indicates that the slip mechanism of the Brown diffusion and thermophoresis effects are negligible in the laminar natural convection of the nanofluid. The degradation of the heat transfer with an increase of the volume fraction of the nanoparticle in the natural convection of nanofluid is due to the increase of the viscosity and the decrease of the thermal expansion coefficient and the specific heat. It is clarified in the present study that the previous controversies between the numerical and experimental studies are owing to the different definitions of the Nusselt number.

Keywords

References

  1. 1995, Choi, S.U.S., "Enhancing Thermal Conductivity of Fluids with Nanoparticles," ASME Fluids. Eng. Div., Vol.231, pp.99-105.
  2. 2003, Khanafer, K., Vafai, K. and Lightstone, M., "Buoyancy-Driven Heat Transfer Enhancement in a Two-Dimensional Enclosure Utilizing Nanofluids," Int. J. Heat Mass Transfer, Vol.46, pp.3639-3653. https://doi.org/10.1016/S0017-9310(03)00156-X
  3. 2006, Jou, R.Y. and Tzeng, S.C., "Numerical Research of Nature Convective Heat Transfer Enhancement Filled with Nanofluids in Rectangular Enclosures," Int. Comm. Heat Mass Transfer, Vol.33, pp.727-736. https://doi.org/10.1016/j.icheatmasstransfer.2006.02.016
  4. 2009, Ghasemi, B. and Aminossadati, S.M., "Natural Convection Heat Transfer in an Inclined Enclosure Filled with a Water-CuO Nanofluid," Numer. Heat Transfer, A, Vol.55, pp.807-823. https://doi.org/10.1080/10407780902864623
  5. 2009, Ogut, E.B., "Natural Convection of Water-Based Nanofluids in an Inclined Enclosure with a Heat Source," Int. J. Thermal Sciences, Vol.48, pp.2063-2073. https://doi.org/10.1016/j.ijthermalsci.2009.03.014
  6. 2009, Abu-Nada, E. and Oztop, H., "Effects of Inclination Angle on Natural Convection in Enclosures Filled with Cu-Water Nanofluid," Int. J. Heat Fluid Flow, Vol.30, pp.669-678. https://doi.org/10.1016/j.ijheatfluidflow.2009.02.001
  7. 2012, Haddad, Z. Oztop, H.F. Abu-Nada, E. and Mataoui, A., "A Review on Natural Convective Heat Transfer of Nanofluids," Renewable Sustainable Energy Reviews, Vol.16, pp.5363-5378. https://doi.org/10.1016/j.rser.2012.04.003
  8. 2011, Rashmi, W., Ismail, A.F., Kalid, M. and Faridah, Y., "CFD Studies on Natural Convection Heat Transfer of Al2O3-Water Nanofluids," Heat and Mass Transfer, Vol.47, pp.1301-1310. https://doi.org/10.1007/s00231-011-0792-x
  9. 2003, Putra, N., Roetzel, W. and Das, S., "Natural Convection of Nano-Fluids," Heat Mass Transfer, Vol.39, pp.775-784. https://doi.org/10.1007/s00231-002-0382-z
  10. 2005, Weng, D. and Ding, Y., "Formulation of Nanofluids for Natural Convective Heat Transfer Applications," Int. J. Heat Fluid Flow, Vol.26, pp.855-864. https://doi.org/10.1016/j.ijheatfluidflow.2005.10.005
  11. 2007, Agwu Nnanna, A.G., "Experimental Model of Temperature-Driven Nanofluid," Trans. ASME J. Heat Transfer, Vol.129, pp.697-704. https://doi.org/10.1115/1.2717239
  12. 2010, Li, C.H. and Peterson, G.P., "Experimental Studies of Natural Convection Heat Transfer of Al2O3/DI Water Nanoparticles Suspensions (Nanofluids)," Advances Mech. Eng., Vol.2010, pp.1-10.
  13. 2010, Ho, C.J., Liu, W.K., Chang, Y.S. and Lin, C.C., "Natural Convection Heat Transfer of Alumina-Water Nanofluid in Vertical Square Enclosures: An Experimental Study," Int. J. Thermal Sciences, Vol.459, pp.1345-1353.
  14. 2006, Buongiorno, J., "Convective Transport in Nanofluids," Trans. ASME, J. Heat Transfer, Vol.128, pp.240-250. https://doi.org/10.1115/1.2150834
  15. 1952, Brinkman, H.C., "The Viscosity of Concentrated Suspensions and Solutions," J. Chem. Phys., Vol.20, pp.571-581. https://doi.org/10.1063/1.1700493
  16. 1904, Maxwell, J., A Treatise on Electricity and Magnetism, 2nd ed., Oxford University Press, Cambridge, UK, pp.435-441.
  17. 1999. Hagen, K.D., Heat Transfer with Applications, Prentice-Hall, New Jersey, USA.
  18. 1983, Rhie, C.M. and Chow, W.L., "Numerical Study of the Turbulent Flow Past an Airfoil with Trailing Edge Separation," AIAA J., Vol.21, pp.1525-1532. https://doi.org/10.2514/3.8284
  19. 1980, Patankar, S.V., Numerical Heat Transfer and Fluid Flow, Mcgraw-Hill Book Company, New York, USA.
  20. 1991, Zhu, J., "A Low-Diffusive and Oscillation Free Convection Scheme," Comm. Appl. Numer. Meth., Vol.7, pp.225-232. https://doi.org/10.1002/cnm.1630070307
  21. 1968, Stone, H.L., "Iterative Solution of Implicit Approximation of Multi-Dimensional Partial Differential Equations," SIAM J. Num. Anal., Vol.5, pp.530-545. https://doi.org/10.1137/0705044
  22. 1983, de Vahl Davis, "Natural Convection of Air in a Square Cavity: A Benchmark Numerical Solution," Int. J. Numer. Meths. Fluids, Vol.3, pp.249-264. https://doi.org/10.1002/fld.1650030305
  23. 1990, Hortmann, M., Peric, M. and Scheuerer, G., "Finite Volume Multigrid Prediction of Laminar Natural Convection: Benchmark Solutions," Int. J. Numer. Meths. Fluids, Vol.11, pp.189-207. https://doi.org/10.1002/fld.1650110206
  24. 2012, Haddad, Z., Abu-Nada, E., Oztop, H.F. and Mataoui, A., "Natural Convection in Nanofluids; Are the Thermophoresis and Brownian Motion Effects Significant in Nanofluid Heat Transfer Enhancement," Int. J. Thermal Sciences, Vol.57, pp.152-162. https://doi.org/10.1016/j.ijthermalsci.2012.01.016
  25. 2012, Noghrehabadi, A. and Samimi, A., "Natural Convection Heat Transfer of Nanofluids Due to Thermophoresis and Brownian Diffusion in a Square Enclosure," Int. J. Engineering Advanced Technology, Vol.1, pp.88-93.
  26. 2013, Sheikhzadeh, G.A., Dastmalchi, M. and Khorasanizadeh, H., "Effects of Nanoparticles Transport Mechanism on Al2O3-Water Nanofluid Natural Convection in a Squar Enclosure," Int. J. Thermal Sciences, Vol.66, pp.51-62. https://doi.org/10.1016/j.ijthermalsci.2012.12.001
  27. 2010, Abu-Nada, E., "Effects of Variable Viscosity and Thermal Conductivity of CuO-Water Nanofluid on Heat Transfer Enhancement in Natural Convection: Mathematical Model and Simulation," Trans. ASME, J. Heat Transfer, Vol.132, pp.0524011-9.
  28. 2010, Abu-Nada, E., Masoud, Z., Oztop, H. and Campo, A., "Effect of Nanofluid Variable Properties on Natural Convection in Enclosures," Int. J. Thermal Sciences, Vol.49, pp.479-491. https://doi.org/10.1016/j.ijthermalsci.2009.09.002
  29. 2005, Chon, C.H., Kihm, K.D., Lee, S.P. and Choi, S.U.S., "Empirical Correlation Finding the Role of Temperature and Particle Size for Nanofluid (Al2O3) Thermal Conductivity Enhancement," Appl. Phys. Lett., Vol.87, p.153107. https://doi.org/10.1063/1.2093936
  30. 2007, Nguyen, C.T., Desgranges, F., Roy, G., Galanis, N., Mare, T., Boucher, S. and Angue Mintsa, H., "Temperature and Particle-Size Dependent Viscosity Data for Water-Based Nanofluids-Hysteresis Phenomenon," Int. J. Heat Fluid Flow, Vol.28, pp.1492-1506. https://doi.org/10.1016/j.ijheatfluidflow.2007.02.004

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