Thermal behavior of thin slab as described by the parabolic microscopic heat conduction model with variable thermal properties

Abstract

The thermal behavior of thin slab as described by the parabolic microscopic heat conduction model with variable thermal properties is investigated under two types of heating sources. These types are the unit step and the fluctuating harmonic heating sources. The considered thermal properties are the electron gas C e and the solid lattice C L total thermal capacities. It is found that the slab thermal behavior is more sensitive to the variation in C e as compared to the variation in C L . Assuming C e constant may cause an error of magnitude 19% while assuming C L constant causes an error of magnitude 5%. The sensitivity of the parabolic microscopic heat conduction model to the variation in C e is higher under the effect of a fluctuating heating source as compared to a unit step heating source.