Free convection of nanofluid filled enclosure using lattice Boltzmann method (LBM)

Free convection of nanofluid filled enclosure using lattice Boltzmann method (LBM)
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DOI:
10.1007/s10483-013-1711-9
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发表时间:
2013-07
影响因子:
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通讯作者:
M. Sheikholeslami;M. Gorji-Bandpy;G. Domairry
M. Sheikholeslami;M. Gorji-Bandpy;G. Domairry
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文献类型:
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作者:
M. Sheikholeslami;M. Gorji-Bandpy;G. Domairry

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用格子Boltzmann方法(LBM)研究了纳米流体的自由对流。冷的外部正方形和加热的内圆柱体之间的空间充满了水,包括各种纳米粒子:二氧化钛、银、铜和氧化铝。用Brinkman模型和Maxwell-Garnetts模型分别模拟了纳米流体的粘度和有效导热系数。数值分析的结果与用其他数值方法得到的结果吻合较好。考察了不同的瑞利数、纳米粒子的体积分数和长径比。结果表明,选择铜作为纳米粒子对这一问题的增强效果最好。结果还表明,当Ra=106时,λ=2.5时增强效果最大,而对于其他瑞利数,λ=1.5时增强效果最大。
The lattice Boltzmann method (LBM) is used to examine free convection of nanofluids. The space between the cold outer square and heated inner circular cylinders is filled with water including various kinds of nanoparticles: TiO2, Ag, Cu, and Al2O3. The Brinkman and Maxwell-Garnetts models are used to simulate the viscosity and the effective thermal conductivity of nanofluids, respectively. Results from the performed numerical analysis show good agreement with those obtained from other numerical methods. A variety of the Rayleigh number, the nanoparticle volume fraction, and the aspect ratio are examined. According to the results, choosing copper as the nanoparticle leads to obtaining the highest enhancement for this problem. The results also indicate that the maximum value of enhancement occurs atλ= 2.5 whenRa= 106while atλ= 1.5 for other Rayleigh numbers.