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Control Volume Based Finite Element Method Study of Nano-fluid Natural Convection Heat Transfer in an Enclosure Between a Circular and a Sinusoidal Cylinder

机译:基于控制体积的有限元方法研究圆形和正弦圆柱体之间的纳米流体自然对流换热

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In this study natural convection heat transfer in a cold outer circular enclosure containing a hot inner sinusoidal circular cylinder is investigated numerically using the Control Volume based Finite Element Method (CVFEM). The fluid in the enclosure is Cu-water nanofluid. Both circular enclosure and inner cylinder are maintained at constant temperature. The governing equations of fluid motion and heat transfer in their vorticity stream function form are used to simulate the fluid flow and heat transfer. The effective thermal conductivity and viscosity of nanofluid are calculated using the Maxwell-Garnetts (MG) and Brinkman models, respectively. The calculations were performed for different governing parameters such as the Rayleigh number, values of the number of undulations of the inner cylinder and nanoparticle volume fraction. The results show that for all Rayleigh number, increasing number of undulations causes the average Nusselt number to augment except that the average Nusselt number for N = 4 is greater than N = 5.
机译:在这项研究中,使用基于控制体积的有限元方法(CVFEM)对包含热内部正弦圆柱体的冷外部圆形外壳中的自然对流传热进行了数值研究。外壳中的流体是铜水纳米流体。圆形外壳和内筒均保持恒温。以旋涡流函数形式的流体运动和传热控制方程被用来模拟流体的流动和传热。分别使用Maxwell-Garnetts(MG)和Brinkman模型计算纳米流体的有效导热率和粘度。针对不同的控制参数(例如瑞利数,内筒起伏数和纳米颗粒体积分数)进行了计算。结果表明,对于所有瑞利数,增加的起伏数会导致平均Nusselt数增加,但N = 4的平均Nusselt数大于N = 5。

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