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Lattice Boltzmann simulation of turbulent natural convection in a square cavity using Cu/water nanofluid

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Abstract

In this paper, lattice Boltzmann simulation of turbulent natural convection with large-eddy simulations (LES) in a square cavity which is filled by water/copper nanofluid has been investigated. The present results are validated by experimental data at Ra = 1.58×109. This study is conducted for high Rayleigh numbers (Ra = 107–109) and volume fractions of nanoparticles (0 ≤ Φ ≤ 0.06). In this research, the effects of nanoparticles are displayed on streamlines and isotherms counters, local and average Nusselt numbers. The average Nusselt number is enhanced by the augmentation of nanoparticle volume fraction in the base fluid while the manner has an erratic trend toward different Rayleigh numbers.

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References

  1. U. Frisch, Turbulence: The Legacy of A. N. Kolmogorov, Cambridge University Press, New York (1995).

    MATH  Google Scholar 

  2. G. Barakos, E. Mitsoulis and D. Assimacopoulos, Natural convection flow in a square cavity revisited: laminar and turbulent models with wall function, International Journal of Numerical Method in Fluids, 18 (1994) 695–719.

    Article  MATH  Google Scholar 

  3. F. Ampofo and T. G. Karayiannis, Experimental benchmark data for turbulent natural convection in an air filled square cavity International Journal of Heat and Mass Transfer, 46 (2003) 3551–3572.

    Article  Google Scholar 

  4. S. U. S. Choi, Enhancing thermal conductivity of fluid with nanoparticles, in: D.A. Siginer, H.P. Wang (Eds.), Developments and Applications of Non-Newtonian Flows, FEDV. 231/MD-V.66. ASME, New York, (1995) 99–105.

  5. Y. Xuan and Q. Li, Investigation on convective heat transfer and flow features of nanofluids, ASME Journal of Heat Transfer, 125(1) (2003) 151–155.

    Article  Google Scholar 

  6. K. Khanafer, K. Vafai and M. Lightstone, Buoyancy-driven heat transfer enhancement in a two-dimensional enclosure utilizing nanofluids, International Journal of Heat Mass Transfer, 46 (2003) 3639–3653.

    Article  MATH  Google Scholar 

  7. N. Putra, W. Roetzel and S. K. Das, Natural convection of nano-fluids, Heat and Mass Transfer, 39 (2003) 775–784.

    Article  Google Scholar 

  8. J. Kim, Y. T. Kang and C. K. Choi, Analysis of convective instability and heat transfer characteristics of nanofluids, Phys. Fluids, 16 (2004) 2395–2401.

    Article  Google Scholar 

  9. D. Wen and Y. Ding, Experimental investigation into convective heat transfer of nanofluids at the entrance region under laminar flow conditions. International Journal of Heat and Mass Transfer, 47 (2004) 5181–5188.

    Article  Google Scholar 

  10. C. Y. Tsai, H. T. Chien, P. P. Ding, B. Chan, T. Y. Luh and P. H. Chen, Effect of structural character of gold nanoparticles in nanofluid on heat pipe thermal performance, Materials Letters, 58(9) (2004) 1461–1465.

    Article  Google Scholar 

  11. D. Wen and Y. Ding, Formulation of nanofluids for natural convective heat transfer applications, International Journal of Heat and Fluid Flow, 26(6) (2005) 855–864.

    Article  Google Scholar 

  12. C. J. Ho, M. W. Chen and Z. W. Li, Numerical simulation of natural convection of nanofluid in a square enclosure: effects due to uncertainties of viscosity and thermal conductivity. International Journal of Heat Mass Transfer, 51 (2008) 4506–4516.

    Article  MATH  Google Scholar 

  13. A. K. Santra, S. Sen and N. Chakraborty, Study of heat transfer augmentation in a differentially heated square cavity cavity using copper-water nanofluid, International Journal of Thermal Science, 47 (2008) 1113–1122.

    Article  Google Scholar 

  14. M. Jahanshahi, S. F. Hosseinizadeh, M. Alipanah, A. Dehghani and G. R. Vakilinejad, Numerical simulation of free convection based on experimental measured conductivity in a square cavity using Water/SiO2 nanofluid, International Communications in Heat and Mass Transfer, 37 (2010) 687–694.

    Article  Google Scholar 

  15. H. Sajjadi, M. Gorji-Bandpy, D. D. Ganji and GH. R. Kefayati, Lattice Boltzmann simulation of MHD mixed convection in two sided lid-driven square cavity, Heat transfer Asian research, 41 (2012) 179–195.

    Article  Google Scholar 

  16. H. Sajjadi, M. Gorji, GH. R. Kefayati and D. D. Ganji, Lattice Boltzmann simulation of turbulent natural convection in tall enclosures using Cu/water nanofluid, Numerical Heat Transfer Part A, 62 (2012) 512–530.

    Article  Google Scholar 

  17. GH. R. Kefayati, S. F. Hosseinizadeh, M. Gorji and H. Sajjadi, Lattice Boltzmann simulation of natural convection in an open enclosure subjugated to Water/copper nanofluid, International Journal of Thermal Science, 52 (2012) 91–101.

    Article  Google Scholar 

  18. GH. R. Kefayati, M. Gorji, H. Sajjadi and D. D. Ganji, Investigation of Prandtl number effect on natural convection MHD in an open cavity by Lattice Boltzmann Method, Engineering Computations, 30 (2013) 97–116.

    Article  Google Scholar 

  19. GH. R. Kefayati, M. Gorji, H. Sajjadi and D. D. Ganji, Lattice Boltzmann simulation of MHD mixed convection in a lid-driven square cavity with linearly heated wall, Scientia Iranica Transactions B — Mechanical Engineering, 19 (2012) 1053–1065.

    Article  Google Scholar 

  20. H. Sajjadi, M. Gorji, GH. R. Kefayati and D. D. Ganji; Lattice Boltzmann simulation of natural convection in an inclined heated cavity partially using Cu/water nanofluid, International Journal of Fluid Mechanics Research, 39 (2012) 348–372.

    Article  Google Scholar 

  21. H. Sajjadi, M. Gorji, GH. R. Kefayati, D. D. Ganji and M. Shayannia, Numerical analysis of turbulent natural convection in a square cavity using large-Eddy simulation in lattice Boltzmann method, International Conference on Aerospace, Mechanical, Automotive and Materials Engineering, Dubai, January, 29–31, (2012).

    Google Scholar 

  22. H. Sajjadi, S. F. Hosseinizadeh, M. Gorji, Gh. R. Kefayati and M. Shayannia, Simulation of natural convection flow in an inclined open cavity using Lattice Boltzmann Method, International Conference on Mechanical Engineering, Paris, July 27–29, (2011).

    Google Scholar 

  23. G. H. R. Kefayati, S. F. Hosseinizadeh, M. Gorji and H. Sajjadi, Lattice Boltzmann simulation of natural convection in tall enclosures using water/ SiO2 nanofluid, International Communications in Heat and Mass Transfer, 38 (2011) 798–805.

    Article  Google Scholar 

  24. G. Barakos, E. Mitsoulis and D. Assimacopoulos, Natural convection flow in a square cavity revisited: laminar and turbulent models with wall function, International Journal of Numerical Method in Fluids, 18 (1994) 695–719.

    Article  MATH  Google Scholar 

  25. H. N. Dixit and V. Babu, Simulation of high Rayleigh number natural convection in a square cavity using the Lattice Boltzmann method, International Journal of Heat and Mass Transfer, 46 (2006) 727–739.

    Article  Google Scholar 

  26. S. Chen, A large-eddy-based lattice Boltzmann model for turbulent flow simulation, Applied Mathematics and Computation, 215 (2009) 591–598.

    Article  MathSciNet  MATH  Google Scholar 

  27. H. Sajjadi, M. Gorji, S. F. Hosseinizadeh, GH. R. Kefayati and D. D. Ganji, Numerical analysis of turbulent natural convection in square cavity using Large-Eddy Simulation in Lattice Boltzmann Method, Iranian Journal of Science and Technology Transition B/Engineering, 35 (2011) 133–142.

    Google Scholar 

  28. JH He, Y Liu, LF Mo, YQ Wan and L Xu, Electrospun nanofibres and their applications, Shawbury: Smithers Rapra Technology (2008).

    Google Scholar 

  29. A. A. Mohamad and A. Kuzmin, A critical evaluation of force term in lattice Boltzmann method, natural convection problem, International Journal of Heat and Mass Transfer, 53 (2010) 990–996.

    Article  MATH  Google Scholar 

  30. S. Hou, J. Sterling, S. Chen and G. D. Doolen, A Lattice Boltzmann subgrid model for high Reynolds number flows, Fields Inst., Comm., 6 (1996) 151–166.

    MathSciNet  Google Scholar 

  31. C. M. Teixeira, Incorporation turbulence models into the Lattice-Boltzmann method, International Journal of Modern Physic C, 9 (1998) 1159–1175.

    Article  Google Scholar 

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Correspondence to H. Sajjadi.

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Recommended by Associate Editor Yang Na

H. Sajjadi, Ph.D, student of Mechanical Engineering at Shahid Bahonar University, received M.S. degree from School of Mechanical Engineering at Babol University of Technology. He received his B.S. degree from School of Mechanical Engineering at Isfahan University of Technology. His main research interests are CFD, LBM, nanofluids, MHD, turbulent flow.

Gholamreza Kefayati, Ph.D, student of Mechanical Engineering at Flinders University. He received his M.S degree from School of Mechanical Engineering at Babol University of Technology. His main research interests are CFD, LBM, nanofluids, MHD, multiphase flow and non-Newtonian flow.

M. Beigzadeh Abbassi, received Diploma degree (previous continuous German Master progam) from Technische Universitat Clausthal-Zellerfeld, Germany. He received Ph.D. degree from Technische Universitat Berlin. Associate professor in Sirjan University of Technology. His main research interests are internal combustion engines and construction.

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Sajjadi, H., Beigzadeh Abbassi, M. & Kefayati, G.R. Lattice Boltzmann simulation of turbulent natural convection in a square cavity using Cu/water nanofluid. J Mech Sci Technol 27, 2341–2349 (2013). https://doi.org/10.1007/s12206-013-0618-5

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  • DOI: https://doi.org/10.1007/s12206-013-0618-5

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