Based on the dimensionless formulation of the problem, the similarity laws are a very powerful tool to scale up or scale down configurations of heat conduction transfer. This enables the definition of equivalent configurations according to a proportionality ratio. If the latter is lower than 1, the equivalent configuration has reduced scales. Indeed, the characteristic time of the equivalent configuration is reduced by the square of the ratio of the characteristic lengths. In this article, the reliability of the similarity laws is investigated to define equivalent configurations in terms of the kinetics of a nonlinear two-dimensional heat transfer process in a building porous material. For this, experimental observations are generated for a woodfiber material submitted to a dynamic thermal stress in a climatic chamber. Then, the top and lateral surfaces, heat transfer coefficients are determined using an inverse problem approach. Once the parameters of the whole problem are known, equivalent numerical configurations are defined based on the similarity laws. Experimental results and numerical predictions are compared. The comparison highlights a satisfactory agreement between both, with discrepancies remaining within the range of the observation uncertainties. Those results validate the use of similarity laws for defining equivalent configurations of the considered problem of heat transfer.

中文翻译：

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建筑材料二维非线性传热相似律的实验评价

基于问题的无量纲公式，相似定律是放大或缩小热传导传递配置的非常有力的工具。这使得能够根据比例比定义等效配置。如果后者小于 1，则等效配置具有缩小的比例。实际上，等效配置的特征时间减少了特征长度比的平方。在本文中，研究了相似定律的可靠性，以根据建筑多孔材料中非线性二维传热过程的动力学来定义等效配置。为此，对在气候室中承受动态热应力的木纤维材料进行了实验观察。然后，在顶部和侧面，传热系数是使用逆问题方法确定的。一旦知道了整个问题的参数，就可以根据相似定律定义等效的数值配置。比较了实验结果和数值预测。比较突出了两者之间的令人满意的协议，差异保持在观察不确定性的范围内。这些结果验证了使用相似定律来定义所考虑的传热问题的等效配置。比较突出了两者之间的令人满意的协议，差异保持在观察不确定性的范围内。这些结果验证了使用相似定律来定义所考虑的传热问题的等效配置。比较突出了两者之间的令人满意的协议，差异保持在观察不确定性的范围内。这些结果验证了使用相似定律来定义所考虑的传热问题的等效配置。