Abstract
The problem of transient heat conduction in a heat generating layer between two semi-infinite media has been solved. The one-dimensional thermal model is Laplace transformed. Three analytical temperature solutions are derived: two approximation solutions and an exact series solution. They are compared with respect to accuracy, convergence and computational efficiency. The approximations are computationally more efficient, and the series converge to the exact solution. The presented accurate solutions enable quick thermal analysis in terms of just 2 parameter groups, but overestimate the temperature during initialization of rewritable optical disks due to lateral heat conduction.
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