Due to short test time, heat conduction was considered as transient in hypersonic shock tunnels. The heat flux measurement and data processing were operated basing on one-dimensional semi-infinite heat conduction theory. However, for models with local large curvature or small radius, it resulted in significant compression or expansion of space for heat transfer, or lateral heat conduction, which made the hypothesis of one-dimensional unsatisfied and errors. In this paper, approximate solutions for the unsteady heat conduction in cylindrically convex and concave shells were established, and were used for further analysis of the errors, with forms of heating load, location and curvature radius of heated surface taken into consideration.

由于测试时间短，热传导在高超声速激波隧道中被认为是瞬态的。基于一维半无限热传导理论进行热通量测量和数据处理。然而，对于局部曲率大或半径小的模型，会导致传热空间或横向热传导的显着压缩或膨胀，从而使一维假设不成立和错误。本文建立了圆柱凸凹壳非定常热传导的近似解，并在考虑热载荷形式、受热面的位置和曲率半径的情况下，用于进一步的误差分析。