We first provide an overview of some predominant theoretical methods currently used for predicting thermal conductivity of thin dielectric films: the equation of radiative transfer, the temperature-dependent thermal conductivity theories based on the Callaway model, and the molecular dynamics simulation. This overview also highlights temporal and spatial scale issues by looking at a unified theory that bridges physical issues presented in the Fourier and Cattaneo models. This newly developed unified theory is the so-called C- and F-processes constitutive models. This model introduces the notion of a new dimensionless heat conduction model number, which is the ratio of the thermal conductivity of the fast heat carrier F-processes to the total thermal conductivity comprised of both the fast heat carriers F-processes and the slow heat carriers C-processes. Illustrative numerical examples for prediction of thermal conductivity in thin films are primarily presented.
|Original language||English (US)|
|Number of pages||54|
|Journal||International Journal of Numerical Methods for Heat and Fluid Flow|
|State||Published - Feb 18 2004|
- Dielectric properties
- Heat conduction
- Thermal conductivity