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首页> 外文会议>HT2008;ASME summer heat transfer conference >VALIDATION OF A THERMAL SPREADING/CONSTRICTION RESISTANCE MODEL FOR A CONVECTIVELY COOLED PLATE WITH AN APPLIED HEAT FLUX
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VALIDATION OF A THERMAL SPREADING/CONSTRICTION RESISTANCE MODEL FOR A CONVECTIVELY COOLED PLATE WITH AN APPLIED HEAT FLUX

机译：带有热流的对流冷却板热扩散/抗变形模型的验证

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摘要

A thermal resistance model of a two-dimensional boundary value problem (BVP) that is commonly found in engineering/experimental heat transfer is presented. The problem consists of two different convectively cooled sub-sections along one boundary, and a heat flux distribution imposed on a portion of another (opposite) boundary, coupled with adiabatic conditions (Neumann boundary conditions) along the remaining boundaries under steady-state conditions. In solving this BVP, the solution technique is highlighted. Consistent with theory, the solution to this problem depends on two Biot numbers, dimensionless heat flux and other dimensionless geometric parameters related to the problem. The present solution is an exact general solution to an existing two-dimensional problem found in literature, and as a special case, the general solution reduces exactly to the existing solution. Also, the present model is validated by comparing the present solution with measured data, and in terms of a temperature difference between two locations on the plate, the analytical solution is well within the experimental error of 0.03 K.
机译：提出了在工程/实验传热中常见的二维边值问题（BVP）的热阻模型。该问题包括沿一个边界的两个不同的对流冷却子部分，以及施加在另一（相对）边界的一部分上的热通量分布，以及沿稳态条件沿其余边界的绝热条件（Neumann边界条件）。在解决此BVP时，强调了解决方法。与理论一致，该问题的解决方案取决于两个Biot数，无量纲的热通量和与该问题相关的其他无量纲的几何参数。本解决方案是文献中存在的现有二维问题的精确通用解决方案，并且在特殊情况下，通用解决方案精确地简化为现有解决方案。此外，通过将本溶液与测量数据进行比较，可以验证本模型，并且就板上两个位置之间的温差而言，分析溶液完全在0.03 K的实验误差范围内。

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