MHD Mixed Convective Nanofluid Flow: Effect of Heat Source and Corrugated Boundary

Kakali Chowdhury
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Abstract

The problem of MHD mixed convection is analyzed in a lid driven cavity with corrugated wavy bottom wall filled with Cu-H2 O nanofluid in presence of internal heat source. The top and right walls of the cavity are maintained with a uniform cold temperature whereas the left wall and bottom wavy wall are kept adiabatic. The top wall is moving with a constant velocity upon its lid and a rectangular heat source is placed horizontally inside the cavity. The physical problem is characterized by 2D governing partial differential equations along with proper boundary conditions and are discretized using Galerkin’s finite element formulation. The study is executed by analyzing different ranges of geometrical, physical and nondimensional parameters namely, wave number of wavy surface (0 ≤ ≤ λ 4) , the ratio of heat source height and cavity height 1 3 1 20 a l  ≤ ≤      volume fraction of nanoparticle (0 ≤ ≤ ϕ 0.09) Hartmann number (0 ≤ ≤ Ha 90) and Richardson number (0.1≤ ≤ Ri 10) . The results indicate that heat transfer rate decreases with the increasing value of heat source height and cavity height ratio a L       . It decreases about 9% and 25% with the increasing ratio of a L from 1 20 to 1 10 and 1 5 respectively. It also reveals that heat transfer rate increases with the increasing value of wave number of corrugated wall. At Ri=1 and Ha=0 heat transfer rate increases about 9% and 16% with the increasing value of λ from 0 to 2 and 4 respectively for nanofluid with 6% of nanoparticle. Keywords: MHD; Nanoparticle; Nanofluid
MHD混合对流纳米流体流动:热源和波纹边界的影响
分析了在有内热源存在的波纹底壁填充Cu-H2 - O纳米流体的盖子驱动腔中MHD混合对流问题。空腔的上、右壁保持均匀的低温,而左壁和底波壁保持绝热。顶壁在其盖上以恒定速度移动,并且在腔内水平放置一个矩形热源。物理问题的特征是带有适当边界条件的二维控制偏微分方程,并使用伽辽金有限元公式进行离散。通过分析波浪表面波数(0≤λ 4)、热源高度与空腔高度之比1 3 1 20 al≤≤纳米颗粒体积分数(0≤≤φ 0.09)哈特曼数(0≤≤Ha 90)和理查德森数(0.1≤≤Ri 10)等不同范围的几何、物理和非量纲参数进行研究。结果表明:传热速率随热源高度和空腔高度比a L的增大而减小;随着L浓度从1 20增加到1 10和1 5,其下降幅度分别约为9%和25%。传热速率随波纹壁波数的增加而增加。在Ri=1和Ha=0时,当λ从0增加到2和4时,纳米流体的换热率分别增加了9%和16%。关键词:磁流体动力;纳米颗粒;Nanofluid
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