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热传导过程中将材料考虑为无穷大时,其导热系数、容积和比热均为相同的温度函数,先通过Kirchhoff变换得到关于导热系数的偏微分方程,再通过傅里叶积分得到这类变导热系数下热传导方程的解,在外部为双椭球和半椭球热源下得到关于变导热系数的三维温度场解析模型。最后应用于熔化极气体保护电弧焊接(GMAW)和钨极惰性气体焊接(TIG),通过对比分析实验与计算结果说明这类温度场模型的可行性,从而推广了材料物理性能变化下这类热传导方程温度场解析模型。
When the material is considered as infinity in the heat conduction process, the thermal conductivity, volume and specific heat are the same temperature functions. First, the partial differential equations of the thermal conductivity are obtained by Kirchhoff transformation, and then the thermal conductivity is obtained by the Fourier integral Under the solution of the heat conduction equation, an analytical model of the three-dimensional temperature field is obtained under the conditions of the double ellipsoid and the semi-ellipsoid heat source. Finally, it is applied to GMAW and TIG, and the feasibility of this kind of temperature field model is illustrated by comparing the experimental results with those of the calculation results, so as to popularize this kind of heat conduction under the change of the physical properties of the material Equation temperature field analytical model.