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首页> 外文期刊>Journal of Heat Transfer >Effect of Surface Radiation on Multiple Natural Convection Solutions in a Square Cavity Partially Heated from Below
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Effect of Surface Radiation on Multiple Natural Convection Solutions in a Square Cavity Partially Heated from Below

机译：表面辐射对部分从下方加热的方腔中多种自然对流溶液的影响

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摘要

A numerical study of natural convection with surface radiation in an air filled square enclosure with a centrally heated bottom wall and cooled upper wall is presented. The vertical walls and the rest of the bottom wall are assumed to be insulated. The problem is studied for Rayleigh numbers Ra, ranging from 10{sup}3 to 4×10{sup}6 and surfaces emissivity ε, varying from 0 to 1. The governing equations, written in terms of stream function-vorticity formulation, are solved using a finite difference approach. It is found that, under these heating/cooling conditions, three different steady-state solutions are possible in the ranges of the parameters considered. Results are presented detailing the occurrence of each steady-state solution and the effect of Ra andε on its range of existence. It is found that the surface radiation alters significantly the existence ranges of the solutions. For each solution, convective and radiative contributions to the global heat transfer are also quantified for various Ra and ε. The influence of the heated surface dimension on the fluid flow and thermal patterns is also presented by comparing the present results against those obtained by the authors in an earlier study within a square cavity totally heated from below.
机译：提出了在带有中央加热的底壁和冷却的上壁的充气方形外壳中，具有表面辐射的自然对流的数值研究。假定垂直壁和底壁的其余部分是绝缘的。研究了瑞利数Ra（范围从10 {sup} 3到4×10 {sup} 6）和表面发射率ε（从0到1）变化的问题。用流函数涡度公式表示的控制方程为使用有限差分法解决。已经发现，在这些加热/冷却条件下，在所考虑的参数范围内可能存在三种不同的稳态解。给出了详细描述每个稳态解的出现以及Ra和ε对它的存在范围的影响的结果。发现表面辐射显着改变了溶液的存在范围。对于每种解决方案，还针对各种Ra和ε量化了对整体传热的对流和辐射贡献。通过将当前结果与作者在较早的研究中在完全从下方加热的方腔内获得的结果进行比较，还可以得出受热表面尺寸对流体流动和热模式的影响。

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