We present a framework to investigate the effects of transient heat conduction on heatwave interference and the overshooting phenomenon in carbon nanotube (CNT)-reinforced composites. Material properties of the nanocomposite are temperature and volume dependent. Different kinds of heat conduction models such as Fourier, hyperbolic or single-phase-lag (SPL), and dual-phase-lag (DPL) are considered while the media is subjected to a heat pulse or periodic thermal shock. This paper attempts to add three contributions to the existing literature: (1) using the differential quadrature method (DQM) to solve for the first time, the nonlinear DPL heat conduction equations while the materials and properties are geometry- and temperature-dependent; (2) showing the effects of the volume fraction of CNTs and their distribution on the transient heat conduction and heatwave interference; (3) demonstrating heatwave interference and the high-temperature gradient as the origins of the overshooting phenomenon. The accuracy of the present solution is confirmed by comparing it with available results from the literature.

我们提出了一个框架来研究瞬态热传导对热波干扰的影响以及碳纳米管 (CNT) 增强复合材料中的过冲现象。纳米复合材料的材料特性与温度和体积有关。当介质受到热脉冲或周期性热冲击时，考虑了不同种类的热传导模型，例如傅里叶、双曲线或单相滞后 (SPL) 和双相滞后 (DPL)。本文试图对现有文献增加三个贡献：（1）首次使用微分求积法（DQM）求解非线性DPL热传导方程，同时材料和性能与几何和温度相关；(2) 显示了碳纳米管的体积分数及其分布对瞬态热传导和热波干扰的影响；(3) 证明热波干扰和高温梯度是超调现象的根源。本解决方案的准确性通过将其与文献中的可用结果进行比较来确认。