简谐温度边界条件下金属薄膜中的热响应

从金属中电子-声子相互作用的抛物两步热传导模型出发，利用非经典的双相迟滞热传导方程，推导出了金属薄膜温度响应的拉普拉斯变换解，并利用黎曼和近似的方法得到了其拉普拉斯逆变换解，通过对几种膛代表性的温度响应算例进行分析，讨论了在微时间和微空间尺度条件下金属薄膜的热响应特征，计算表明，不同的特征参数B预示着不同的热响应温度和热传播速度，热传播速度随B的增大而加快，当B大于等于0、小于等于0.25时，絷响应温度随B的增大而减少；当B大于0.25时，热响应温度随B的增大而增加。

Heat Transfer in Thin Metal Film under Harmonic Thermal Boundary Condition

Heat conduction in thin metal film under high frequency harmonic thermal boundary condition was solved using Laplace transform, which involves the non classical two phase lag heat conduction model. The solution of inverse Laplace transform was obtained by Riemann sum approximation. Several examples were given and the microscale thermal response in thin metal film was presented. It was shown that the responding temperature is dominated by the characteristic parameter B , and the responding temperature decreases with increasing B if B is between 0 and 0.25,and increases if B is over 0.25.