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研究具有不同初始温度的杆件相互接触后产生的热传导问题 .首先用Laplace变换把一维瞬态热传导方程化为易于求解的常微分方程 ,然后应用留数定理作Laplace反变换 ,第一次得到两杆件接触后温度随时间变化的解析解 .考虑了接触热阻对杆件传热特性的影响 ,给出了对工程实际有应用价值的计算曲线 .
The problem of heat conduction of rods with different initial temperatures is studied. First, one-dimensional transient heat conduction equation is transformed into an easy-to-solve ordinary differential equation by using Laplace transform. Then Laplace transform is applied to the Laplace transform for the first time Considering the influence of contact thermal resistance on the heat transfer characteristics of the rod, a calculation curve that has practical value for the project is given.