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首页> 外文期刊>International Journal of Heat and Mass Transfer >A numerical study of laminar free convection heat transfer between inner sphere and outer vertical cylinder
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A numerical study of laminar free convection heat transfer between inner sphere and outer vertical cylinder

机译：内球与外垂直圆柱之间层流自由对流换热的数值研究

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摘要

The effects of height and radius ratio 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 Nusslet numbers which are affected by the geometric ratio parameters (HR and RR) 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 and height and radius ratio, for a Prandtl number of 0.7, with the Rayleigh number ranging from 10~3 to 10~6, and the height and radius ratio varying from 1.2 to 5.0. 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：已经对牛顿流体的高度和半径比的影响进行了数值研究，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Nusslet数，这些数值受流场和温度场上的几何比率参数（HR和RR）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和高度与半径比，普朗特数为0.7，瑞利数为10〜3至10〜6，并且高度和半径之比从1.2到5.0不等。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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