Lattice boltzmann simulation for mixed convection of nanofluids in a square enclosure

Chieh Li Chen, Shing Cheng Chang, Cha'o Kuang Chen, Chun Kai Chang

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32 Citations (Scopus)


In this paper, the lattice Boltzmann method is applied to investigate the natural and mixed convection of Al2O3/water nanofluids in a square enclosure. The Rayleigh number is considered from 103 to 106 to present the buoyancy effects. In mixed convection problems, the Richardson number representing the importance of natural convection relative to the forced convection is set to Ri=1, 5, and 10. Numerical results show that the convective heat transfer effects of nanofluids are higher than that of the base fluid. Increasing the nanoparticle volume fraction up to 4% can cause the averaged Nusselt number of the hot wall an increase about 5-7% in natural convection and 9-13% in mixed convection respectively. In natural convection, the streamlines and temperature contours are found to be slightly changed by adding nanoparticles into water. But in mixed convection, significant differences are obtained because the influence of adding nanoparticles on the properties of nanofluids is enlarged by the force convection effects.

Original languageEnglish
Pages (from-to)2436-2451
Number of pages16
JournalApplied Mathematical Modelling
Issue number8
Publication statusPublished - 2015 Apr 15

All Science Journal Classification (ASJC) codes

  • Modelling and Simulation
  • Applied Mathematics


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