This article presents a study of the thermal constriction resistance developed in a semi-infinite medium subjected to a circular heat source with mixed boundary conditions. The problem is considered axisymmetric and stationary. Two cases of mixed boundary conditions are considered. The contact area can be subjected to a non-uniform axisymmetric heat flux density while the remainder of the surface is isothermal, or the contact is subjected to a non-uniform axisymmetric surface temperature while the remainder of the surface is adiabatic. The thermal constriction resistance is determined analytically. It takes a simple form and can be used for various problems. To offer a wide choice of applications, a general distribution law for the heat flux density or the temperature of the contact area is considered. Verifications of the proposed solutions are carried out by comparison with some analytical results available in the literature. An analysis of the results according to the kind of boundary conditions and the curvature of the axisymmetric source is also performed.

本文介绍了在具有无限边界条件的圆形热源作用下的半无限介质中产生的热收缩阻力。该问题被认为是轴对称的和固定的。考虑混合边界条件的两种情况。当表面的其余部分是等温的时，接触区域可能会受到不均匀的轴对称热通量密度的影响，而当表面的其余部分是绝热时，接触区域可能会受到不均匀的轴对称的表面温度的影响。抗热收缩性通过分析确定。它采用简单的形式，可以用于各种问题。为了提供广泛的应用选择，考虑了热通量密度或接触区域温度的一般分布规律。通过与文献中提供的一些分析结果进行比较，对提出的解决方案进行了验证。还根据边界条件的种类和轴对称源的曲率对结果进行了分析。