移动热源热传导的非准稳态分析(Ⅲ)

NON-QUASI-STEADY ANALYSIS OF HEAT CONDUCTION FROM A MOVING HEAT SOURCE (Ⅲ)

本文采用热源法分析了移动线热源所引起的非准稳态热传导问题。定义了计算该非准稳态温度场所需的特殊函数并编制了相应的函数表,通过绘制物体内的温度分布及其随时间的变化,揭示了非准稳态解与其准稳态解之间的差异,利用Duhamel定理,将常功率热源时的结果推广到了变功率热源时的情形。

Heat conduction resulting from a moving point heat source is investigated by using the heat source method. The accurate solution is derived for an unsteady temperature distribution caused by a point heat source with constant power in an infinite region. The solution is extended to the situation of a variable power by use of Duhame's theorem, so that the application range of the solution is expanded.