摘要
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 .通过对几种有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 .2 5时 ,热响应温度随B的增大而减小 ;当B大于 0 2 5时 ,热响应温度随B的增大而增加 .
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.
出处
《西安交通大学学报》
EI
CAS
CSCD
北大核心
2001年第7期731-735,共5页
Journal of Xi'an Jiaotong University
基金
国家自然科学基金资助项目 (5 96 35 140 ) .
关键词
微尺度
热波
金属薄膜
热响应
简谐温度边界条件
Approximation theory
Boundary conditions
Heat conduction
Laplace transforms
Metallic films
Thermal effects
