论文标题
分析公式用于计算圆柱形壳和球形壳样品的热扩散率
Analytical formulas for calculating the thermal diffusivity of cylindrical shell and spherical shell samples
论文作者
论文摘要
通常使用激光闪光实验来计算固体材料的热扩散率。该经典实验认为材料的小（通常很薄的圆盘形）样品具有平行的前和后表面，在前表面施加热脉冲，并记录了后面的温度随时间的升高。最近，Carr和Wood [Int J热量Transf，144（2019）118609]表明，可以根据在前表面上应用的热通量功能和后表面的温度上升历史来分析热扩散率。在本文中，我们将此结果推广到径向单向热流，开发了新的分析公式，以计算圆柱形壳和球形壳样品的热扩散率。考虑了两种构型：（i）在内表面上施加的热脉冲，并在外表面上记录的温度上升，（ii）在外表面上施加的热脉冲，并记录在内表面上的温度上升。为两种配置提供了实现和验证热扩散公式的代码。
Calculating the thermal diffusivity of solid materials is commonly carried out using the laser flash experiment. This classical experiment considers a small (usually thin disc-shaped) sample of the material with parallel front and rear surfaces, applying a heat pulse to the front surface and recording the resulting rise in temperature over time on the rear surface. Recently, Carr and Wood [Int J Heat Mass Transf, 144 (2019) 118609] showed that the thermal diffusivity can be expressed analytically in terms of the heat flux function applied at the front surface and the temperature rise history at the rear surface. In this paper, we generalise this result to radial unidirectional heat flow, developing new analytical formulas for calculating the thermal diffusivity for cylindrical shell and spherical shell shaped samples. Two configurations are considered: (i) heat pulse applied on the inner surface and temperature rise recorded on the outer surface and (ii) heat pulse applied on the outer surface and temperature rise recorded on the inner surface. Code implementing and verifying the thermal diffusivity formulas for both configurations is made available.
