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Natural convection heat transfer between inner sphere and outer vertically eccentric cylinder

机译:内球和外垂直偏心圆柱之间的自然对流传热

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摘要

The effects of eccentricity and geometric configuration with a Newtonian fluid have been investigated numerically to determine heat transfer by natural convection between the sphere and vertical cylinder with isothermal boundary conditions. The inner sphere and outer vertical cylinder were heated and cooled in a steady change of temperature. Calculations were carried out systematically for a range of the Rayleigh numbers to determine the average Nusselt numbers which are affected by the geometric ratio (HR:RR) and eccentricity (ε) parameters on the flow and temperature fields. The governing equations, in terms of vorticity, stream function and temperature are expressed in a spherical polar coordinate system. Results of the parametric study conducted further reveal that the heat and flow fields are primarily dependent on the Rayleigh number, eccentricity and geometric configuration, for a Prandtl number of 0.7, with the Rayleigh number ranging from 10~3 to 10~6, the three eccentricities and two geometric configurations. Above all, the specification of different convective configurations has a significant effect on the average heat transfer rate across the composite annulus gap.
机译:数值研究了牛顿流体的偏心率和几何构型的影响,以确定在等温边界条件下,球体与垂直圆柱体之间的自然对流,从而确定了传热。内球和外垂直圆柱在稳定的温度变化下加热和冷却。系统地对一系列瑞利数进行了计算,以确定平均Nusselt数,该数值受流场和温度场上的几何比(HR:RR)和偏心率(ε)参数的影响。在旋涡,流函数和温度方面的控制方程以球极坐标系表示。进行的参数研究结果进一步表明,热场和流场主要取决于瑞利数,偏心率和几何构型,普朗特数为0.7,瑞利数为10〜3至10〜6,这三个偏心率和两个几何形状。最重要的是,不同对流配置的规格对整个复合材料环隙的平均传热速率有重要影响。

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