MIXED CONVECTION ANALYSIS OF HYBRID NANOFLUID IN A LID-DRIVEN CAVITY WITH A HOT BLOCK INSIDE

K. Bouaraour
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Abstract

The purpose of this study is the investigation of heat transfer and fluid flow around a heated solid block inside a lid-driven cavity filled with hybrid TiO2-Cu/water nanofluid. The considered geometry is a two-dimensional cavity with an aspect ratio of 5. The upper wall translates with uniform velocity Ulid. The solid block attached to the bottom wall of the cavity is maintained at a high temperature compared to the temperature of the upper and lower walls, whereas the other walls are kept insulated. The hybrid nanofluid flow is assumed to be Newtonian, laminar, and incompressible. The effect of the Richardson number is considered by fixing the Reynolds number to 100, and by varying the Grashof number from 102 to 104. Volume fractions for both nanoparticles are varied from 0% to 8%. Results are shown in terms of streamlines, isotherms, and profiles of the average Nusselt number. Numerical results show that clockwise and counterclockwise cells are generated within the rectangular enclosure due to the combined effects of natural and forced convection. Furthermore, increasing the Richardson number from Ri = 0.01 to Ri = 1, which results from an increase in the buoyancy effect, leads to an increase in the Nusselt number of about 4.5%. Moreover, for each Richardson number, an increase of 8% in nanoparticles volume fraction leads to an enhancement of the heat transfer rate by about 9.8%.
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含热块盖驱动腔内混合纳米流体的混合对流分析
本研究的目的是研究在充满TiO2-Cu/水混合纳米流体的盖子驱动腔内加热固体块周围的传热和流体流动。所考虑的几何形状是一个宽高比为5的二维腔体。上壁以匀速uld平移。与上壁和下壁的温度相比,附在空腔底壁上的实心块保持在较高的温度,而其他壁则保持绝缘。混合纳米流体流动假定为牛顿流体、层流和不可压缩。理查德森数的影响是通过将雷诺数固定为100,并将格拉什夫数从102变化到104来考虑的。两种纳米颗粒的体积分数从0%到8%不等。结果用流线、等温线和平均努塞尔数的剖面来表示。数值计算结果表明,由于自然对流和强制对流的共同作用,在矩形围护结构内产生顺时针和逆时针的胞元。此外,由于浮力效应的增加,理查德森数从Ri = 0.01增加到Ri = 1,导致Nusselt数增加约4.5%。此外,每增加理查德森数8%,纳米颗粒体积分数增加约9.8%,传热率提高约9.8%。
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