By Carol I.
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B 74, 134109 (2006) 132. G. Y. Cao, X. Zhang, M. Fujii, K. Takahashi, Size effects on the thermal conductivity of polycrystalline platinum nanofilms. J. : Condens Matter. 18, 7937–7950 (2006) Chapter 2 Thermomass Theory for Non-Fourier Heat Conduction Abstract With the rapid development of femtosecond laser and micro/nano processing techniques, researchers face great challenges in thermal management and analysis under the extreme conditions. As the theoretical basis of heat transfer, Fourier’s law may break down at femtosecond temporal scales and nanometer spatial scales.
44, 651–653 (1984) 94. A. Majumdar, Scanning thermal microscopy. Ann. Rev. Mater. Sci. 29, 505–585 (1999) 95. Y. Y. M. Liu, Laser fluorescence measurement of the gas temperature. J. Tsinghua Univ. (Sci. ) 36(6), 40–43 (1999). in Chinese 96. K. You, Temperature measurement and instrumentation: thermocouples and thermal resistance (Science and Technology Literature Publishing House, China, 1990) in Chinese 97. P. P. Nagpal, Size effect in thin single-crystal silver films. Appl. Phys. Lett. 13(6), 206–207 (1968) 98.
The numerical results are shown in the Figs. 7. The PTS model has a parabolic equation, so no temperature fluctuation can be observed in the calculated temperature curve. The other four models have hyperbolic wave equations, which are capable to predict the propagation of thermal waves. 2 Non-Fourier Heat Conduction Equation in Unsteady States 35 Fig. 6 Electron and lattice temperature curves of different models 1. a C–V model electron temperature, b PTS model lattice temperature, c PTS model electron temperature, d HTS model lattice temperature, e HTS model electron temperature, f DPL model lattice temperature, g DPL model electron temperature 36 2 Thermomass Theory for Non-Fourier Heat Conduction Fig.
A unified theory of elastic degradation and damage based on a loading surface by Carol I.