Finite Volume Simulation of Steady Laminer Natural Convection Heat Transfer Through a Mercury –filled Triangular Enclosure with an Isothemal Cold Side Walls and an Isothemal Hot Bottom Wall.

A. Hussein
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Abstract

Thermal and flow fields due to laminar steady natural convection in a triangular enclosure having thick conducting sidewalls have been investigated numerically. Inclined left and right side walls are maintained at isothermal cold temperatures while the bottom wall is maintained at isothermal hot temperature. Problem has been analyzed and the non-dimensional governing equations are solved using finite volume approach and employing more nodes at the fluid – solid interface. Triangular enclosure is assumed to be filled with mercury as a liquid metal with a Prandtl number of 0.026. Rayleigh number varies from 104 to 106 where the flow and thermal fields are computed for various Rayleigh numbers. Consequently, it was observed that the stream function and temperature contours strongly change with high Rayleigh number.The streamline and isotherm plots and the variations of the average Nusselt number at the hot bottom wall and the cold inclined side walls are also presented. The results explained a good agreement with another published results.
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具有等温冷壁和等温热壁的填充汞三角形外壳稳定层压机自然对流换热的有限体积模拟。
本文用数值方法研究了具有厚传导侧壁的三角形罩体中层流定常自然对流的热场和流场。倾斜的左右侧壁保持在等温冷态,而底壁保持在等温热态。对该问题进行了分析,并采用有限体积法和在流固界面处多设节点的方法求解了无量纲控制方程。假定三角形外壳内填充的是普朗特数为0.026的液态金属汞。瑞利数从104到106不等,其中计算了不同瑞利数下的流场和热场。结果表明,随着瑞利数的增加,流函数和温度等高线发生了强烈的变化。给出了热底壁和冷斜侧壁的流线图和等温线图以及平均努塞尔数的变化。这一结果与另一项已发表的结果很好地吻合。
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