Natural convection of power-law nanofluid in a square enclosure with a circular cylinder: An immersed boundary-lattice Boltzmann study

Dinggen Li, Haifeng Zhang (), Peixin Ye () and Zihao Yu ()
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Dinggen Li: School of Energy and Power Engineering, Huazhong University of Science and Technology, Wuhan 430074, P. R. China
Haifeng Zhang: School of Energy and Power Engineering, Huazhong University of Science and Technology, Wuhan 430074, P. R. China
Peixin Ye: School of Energy and Power Engineering, Huazhong University of Science and Technology, Wuhan 430074, P. R. China
Zihao Yu: School of Energy and Power Engineering, Huazhong University of Science and Technology, Wuhan 430074, P. R. China

International Journal of Modern Physics C (IJMPC), 2018, vol. 29, issue 11, 1-13

Abstract: In this paper, natural convection of power-law Al2O3-water nanofluids with temperature-dependent properties in a square enclosure with a circular cylinder is studied. The governing equations of the flow and temperature fields are solved by the lattice Boltzmann method (LBM), and the curved velocity and thermal boundary conditions are treated by immersed boundary method (IBM). The effects of Rayleigh number, power-law index, nanoparticle volume fractions, radius of circular cylinder, nanoparticle diameter and temperature difference on flow and heat transfer characteristics are discussed in detail. The results indicate that the heat transfer rate is increased with the increases of Rayleigh number, radius of circular cylinder and temperature difference, while it generally decreases with an increase in power-law index and nanoparticle diameter. Additionally, it is observed that there is an optimal volume fraction at which the maximum heat transfer enhancement is obtained, and the value of it is found to increase slightly with decreasing the nanoparticle diameter, and to increase remarkably with increasing the temperature difference.

Keywords: Natural convection; power-law nanofluid; Lattice Boltzmann method; immersed boundary method (search for similar items in EconPapers)
Date: 2018
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DOI: 10.1142/S012918311850105X

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