三层一维非金属薄膜材料热传导效应的研究

从声子散射模型出发,用拉普拉斯变换法得到三层一维非金属薄膜在简谐温度边界条件下温度响应的解。通过算例分析,讨论了在微尺度条件下非金属薄膜的热响应特征。计算表明,热响应温度和热传播速度随特征参数E的变化而变化。在薄膜中不同位置处,当E<0.1时,波动特性明显,最高响应温度在波的传播方向上先减小后增大;当E>0.1时,最高响应温度持续减小。当E取较大值时,热传播速度也较大,达到最大响应温度的热响应时间几乎相同。而在薄膜后表面,热传播速度随E的增大而增大。另外,当E<0.25,最大热扰动响应温度随E的增大而减小;当E>0.25时,最大热扰动响应温度随E的增大而增大。

Study on the heat transfer in three-layer and one-dimensional thin non-metallic film

Heat conduction in three-layer and one-dimensional thin non-metallic film under high frequency harmonic thermal boundary condition was solved with Laplace transform from the phonon scatter model.Through the examples,the micro-sale thermal response character in thin non-metallic film was discussed.It was shown that the temperature is dominated by the characteristic parameter E in the different position of the thin film.The fluctuating character becomes more obvious and the maximum thermal response temperature is decreasing and then increasing when E is less than 0.1,and it is only decreasing if E is over 0.1.The thermal response velocity is bigger and the time when the temperature reaches maximum is almost the same.In the rear surface,the response velocity increases when E increases,and the maximum thermal response temperature decreases as increases if E is between 0 and 0.25,and increases if E is over 0.25.