Hi'/> Mixed convection of Al_2O_3-water nanofluid in a double lid-driven square cavity with a solid inner insert using Buongiorno's two-phase model
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首页> 外文期刊>International Journal of Heat and Mass Transfer >Mixed convection of Al_2O_3-water nanofluid in a double lid-driven square cavity with a solid inner insert using Buongiorno's two-phase model
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Mixed convection of Al_2O_3-water nanofluid in a double lid-driven square cavity with a solid inner insert using Buongiorno's two-phase model

机译：使用Buongiorno的两相模型，Al_2O_3-水纳米流体在带有固体内部插入物的双盖驱动方腔中的混合对流

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Highlights•Finite element method was employed to solve the governing equations subject to the boundary conditions.•Governing equations in dimensionless form have been formulated using the two-phase Buongiorno nanofluid model.•Comparisons with previously experimental and numerical published works verify good agreement with the proposed method.•The effect of increasing Richardson number and solid block size on the streamlines was studied.AbstractThe present paper investigates steady conjugate mixed convection in a double lid-driven square cavity including a solid inner body. The annulus is filled with water-Al2O3nanofluid based on Buongiorno’s two-phase model. The top horizontal wall is maintained at a constant low temperature and moves to the right while the bottom horizontal wall is maintained at a constant high temperature and moves to the left. The governing equations are solved numerically using the finite element method. The governing parameters are the inner solid location (case 1-case 4), the nanoparticles volume fraction (0⩽ϕ⩽0.04), Reynolds number (1⩽Re⩽500), Richardson number (0.01⩽Ri⩽100), the size of the inner solid (0.1⩽D⩽0.7) and thermal conductivity of the inner solid (kw=0.01, 0.045, 0.1, 0.76 and 1.95 W/m °C). The other parameters; Prandtl number, Lewis number, Schmidt number, ratio of Brownian to thermophoretic diffusivity and the normalized temperature parameter are fixed atPr=4.623,Le=3.5×105,Sc=3.55×104,NBT=1.1andδ=155, respectively. The results show that the nanofluid strategy in such a cavity has a noticeable augmentation of heat transfer. However, at low Reynolds number, the addition of nanoparticles has an adverse effect on the Nusselt number when the Richardson number is very high. It is also found that a big size solid body can augment heat transfer in the case of high values of both the Reynolds and the Richardson numbers.
机译： 突出显示 • 使用有限元方法求解受边界条件约束的控制方程。 • 已制定无量纲形式的控制方程使用两相Buongiorno纳米流体模型。 • 与先前进行实验和数字发表的作品进行的比较证明了所提出方法的一致性。 •< / ce：label> 研究了增加Richardson数和实体块大小对流线的影响。 摘要 本文研究了包括固体内部主体的双盖驱动方腔中的稳态共轭混合对流。环面充满水-基于Buongiorno的两相Al 2 O 3 纳米流体模型。顶部水平壁保持恒定的低温并向右移动，而底部水平壁保持恒定的高温并向左侧移动。控制方程使用有限元法进行数值求解。控制参数是内部固体位置（案例1-案例4），纳米粒子体积分数（ 0 ⩽ ϕ < /mml:mi>⩽0.04 ），雷诺数（ 1 ⩽ Re ⩽ 500 ），理查森编号（ 0.01 ⩽ Ri ⩽ 100 ），内部实体的大小（ 0.1 ⩽ D ⩽ 0.7 ）和内部固体的导热系数（< mml：math xmlns：mml =“ http://www.w3.org/1998/Math/MathML” altimg =“ si99.gif” display =“ inline” overflow =“ scroll”> k w = 0.01 ，0.045、0.1、0.76和1.95 W / m°C）。其他参数；普朗特数，刘易斯数，施密特数，布朗尼对热泳扩散率的比率以及归一化的温度参数固定为 Pr = 4.623 ， Le = 3.5 × 10 < / mml：mrow> 5 ， Sc = 3.55 × < mml：msup> 10 4 ， NBT = 1.1 和 δ = 155 。结果表明，在这种腔中的纳米流体策略具有显着的传热增强。但是，雷诺数低时当Richardson数很高时，添加纳米颗粒会对Nusselt数产生不利影响。还发现，在雷诺数和理查森数都很高的情况下，大尺寸的固体会增加传热。

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