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Determination of wall decay times by use of a polynomial equation

机译:使用多项式方程确定壁面衰减时间

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The determination of the thermal decay times of the wall of a building is an essential step in calculating the wall's thermal transfer coefficients. The series of decay times z_j is normally found by varying time z and searching for zeros of e_(12), one of the four elements of the wall transmission matrix. It is demonstrated here that they can be efficiently found by expressing e_(12) as a polynomial as a function of time z and then solving the polynomial for e_(12)=0. The method is illustrated by wall examples whose decay times are known by other means. A simple procedure is demonstrated to check whether any solutions have been missed. The article summarises an existing procedure to check for missing roots of e_(12) by also finding solutions to e_(11) = 0 and in an appendix shows the structure of the solutions which are found when all four values of e_(ik) of the transmission matrix are set equal to zero.
机译:确定建筑物墙壁的热衰减时间是计算墙壁的传热系数的重要步骤。通常通过改变时间z并搜索壁传输矩阵的四个元素之一e_(12)的零来找到一系列的衰减时间z_j。在此证明,可以通过将e_(12)表示为时间z的函数的多项式,然后对e_(12)= 0求解多项式,从而有效地找到它们。通过墙壁示例来说明该方法,其衰减时间通过其他方式已知。演示了一个简单的过程,以检查是否遗漏了任何解决方案。本文总结了一个现有的过程,该过程还通过查找e_(11)= 0的解来检查e_(12)的缺失根,并且在附录中显示了当e_(ik)的所有四个值都等于时发现的解的结构。传输矩阵设置为零。

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