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EXPLICIT MATRIX SOLUTION OF THE DISCRETIZED THERMAL REGENERATOR MODEL

机译:离散热再生器模型的显式矩阵解

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摘要

A matrix approach to the discretized model of the thermal regenerator is used to develop an explicit analytical expression, which calculates both the transients and the periodic steady state temperatures. The cyclic steady state solution is reduced to a system of linear equations for the initial temperatures in each of the compartments. This methodology can be applied to the cases of cocurrent or countercurrent flow directions as well as symmetric or asymmetric lengths and switching times. An eigenvalue analysis using this model shows the approach of the thermal regenerator toward the cyclic steady state. Results are also compared to previous data of other investigators.
机译:对蓄热器离散化模型采用矩阵方法来开发明确的解析表达式,该表达式可计算瞬态和周期性稳态温度。将循环稳态解简化为每个隔室中初始温度的线性方程组。这种方法可以应用于并流或逆流方向以及对称或不对称长度和切换时间的情况。使用该模型的特征值分析显示了热再生器向循环稳态过渡的方法。还将结果与其他研究者的先前数据进行比较。

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