ABSTRACT
Classical methods of predicting temperature must be modified when attempting to find temperature in thin conductors, nonconductors, and semiconductors subjected to short heat pulses. Known as microscale heat transfer, heat flux and individual body component temperatures can be briefly in local nonequilibrium. Mathematical formulations of the energy equation in thin films are valid for a broad spectrum of materials from conductors to nonconductors. The solution for different heat conduction models is obtainable from classical solutions of the diffusion equation. The solution exhibits different convergence characteristics depending on the values of the input parameters. This chapter discusses the completeness of the solution. A numerical example is selected to show the solution and to study the convergence of the solution. For metals, the series solution is well behaved and rapid convergence is expected. However, for di-electric materials, a special transformation is needed to achieve the convergence of the series solution.
