Numerical study of natural convection from discrete heat sources in a vertical square enclosure
Numerical study of natural convection from discrete heat sources in a vertical square enclosure
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DOI：
10.2514/3.326
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发表时间：
1990-01
影响因子：
2.1
通讯作者：
G. Ahmed;M. Yovanovich
中科院分区：
文献类型：
--
作者：
G. Ahmed;M. Yovanovich
采用基于Marker and Cell(MAC)方法的数值有限差分技术，求解了具有层流自然对流换热的方形封闭空间的二维离散热源模型。离散热源位于代表高功率集成电路(IC)的垂直一侧的中心。使用原始变量：速度、压力和温度来求解守恒方程。对Pr=0.72，A=1和0.5Ra5Lo6(瑞利数是热源长度S除以高宽比A)进行了计算。热源尺寸与总高度之比E在0.255E51.0范围内。在Ra=0(导通极限)时，用解析导电解对数值结果进行了验证，并研究了Nu和总电阻与Ra、E和边界条件的关系。考察了基于不同尺度长度的Nu和Ra之间的关系。此外，基于SIA，将Nu与Ra之间的关系关联为Nu=Nu(Ra，E)，并建立了覆盖Ra从05Ra<；109范围内的外推方程。
A numerical finite difference technique based on the Marker and Cell (MAC) method is used to obtain solutions of a two-dimensional model of a square enclosure with laminar natural convection heat transfer from discrete heat sources. A discrete heat source is located in the center of one vertical side representing a high- power integrated circuit (IC). The conservation equations are solved using the primitive variables: velocity, pressure, and temperature. Computations are carried out for Pr = 0.72, A = 1 and 0 5 Ra 5 lo6 (Rayleigh number is based on the length of the heat source S divided by the aspect ratio A). The ratio E of the heat source size to the total height lies in the range 0.25 5 E 5 1.0. Verification of numerical results are obtained at Ra = 0 (conduction limit) with an analytical conduction solution, and the dependence of Nu and total resistance on Ra, E , and boundary conditions are studied. Relationships between Nu and Ra based on different scale lengths are examined. In addition, a relationship between Nu and Ra, based on SIA, are correlated as Nu = Nu (Ra, E ) and extrapolation equations are developed to cover the range of Ra from 0 5 Ra < lo9.