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应用基于热质理论的拉格朗日方程对含内热源一维瞬态导热问题进行了近似求解,计算结果与精确解吻合较好;同时指出了现有文献中采用分析力学方法讨论导热问题时存在的某些不足。本文工作表明了基于热质理论用分析力学观点研究导热问题这一方法的有效性,也从一个侧面说明热质和热质能等热学新概念具有一定的合理性。
The Lagrangian equation based on the thermal theory is used to approximate the one-dimensional transient heat transfer problem with the internal heat source. The calculated results are in good agreement with the exact solution. Meanwhile, the existing literature on the application of analytical mechanics to discuss the thermal conduction problems There are some shortcomings. The work in this paper shows the validity of this method based on thermal theory in analyzing the problem of thermal conductivity from the point of view of analytical mechanics. It also shows that the new concept of thermal properties such as thermal mass and thermal mass energy is reasonable in some aspects.