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Heat exchange within the partially heated C-shape cavity filled with the water based SWCNTs

机译:在充满水基SWCNT的部分加热的C形腔内进行热交换

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In this article, heat transfer analysis is performed for Magnetohydrodynamic (MHD) water based Single Wall Carbon Nanotubes (SWCNTs) inside a C-shape cavity that is partially heated along the left vertical wall in the presence of magnetic field. The convection inside the cavity due to the temperature difference along the sides of the walls give rise in the temperature and the complete structure is based upon the system of nonlinear coupled partial differential equations. Governing equation are further modified in term of effective thermal conductivity expression that depends upon the radius of nanoparticle and fluid molecule. These equations are solved via Finite Element Method (FEM) utilizing Galerkin approach. The results are presented and analyzed in the form of streamlines, isotherms and Nusselt number for emerging physical parameter, that are, Rayleigh number(104⩽Ra⩽106), Hartmann number(0⩽Ha⩽200)and nanoparticle volume fraction(0⩽ϕ⩽0.2). The study reveals that increase in Rayleigh number enhances the heat transfer rate and increase in magnetic field strength decreases it. For the considered range of nanoparticle volume fraction(0⩽ϕ⩽0.2)have significant impact on the temperature distribution. It is finally concluded that increase in the Rayleigh number enhances the stream flow and isotherms behavior. However, increase in Hartman number decreases the heat transfer rate inside the cavity.
机译:在本文中,对C形腔内的磁流体动力学(MHD)水基单壁碳纳米管(SWCNT)进行了传热分析,该C型腔在存在磁场的情况下沿左侧垂直壁部分加热。由于沿壁两侧的温差,腔体内的对流会导致温度升高,并且完整的结构基于非线性耦合的偏微分方程组。根据取决于纳米粒子和流体分子半径的有效导热系数表达式,可以进一步修改控制方程。这些方程是通过Galerkin方法通过有限元方法(FEM)求解的。结果以流线,等温线和Nusselt数的形式呈现和分析,用于新兴物理参数,即瑞利数(104⩽Ra⩽106),哈特曼数(0⩽Ha⩽200)和纳米粒子体积分数(0⩽)。 ϕ⩽0.2)。研究表明,瑞利数的增加会提高传热速度,而磁场强度的增加会降低传热速度。在考虑的范围内,纳米粒子的体积分数(0⩽ϕ⩽0.2)对温度分布有显着影响。最终得出的结论是,瑞利数的增加会增强流和等温线的行为。然而,哈特曼数的增加降低了腔体内的传热速率。

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