Analytical and Numerical Solutions for a Heat Transfer Problem in Two-Layer Materials
DOI:
https://doi.org/10.70567/mc.v41i21.113Keywords:
Heat transfer, Composite materials, Thermal resistanceAbstract
This article presents a theoretical analysis of a heat transfer problem in bilayer material with diffusion, advection, internal heat generation or loss linearly dependent on temperature in each layer, and heat generation due to external sources. Additionally, the thermal resistance offered by the interface between the materials is considered. The situation of interest is modeled mathematically, explicit analytical solutions are found using Fourier techniques, and a convergent finite difference scheme is formulated to simulate particular cases. The solution is consistent with previous results. A numerical example is included that shows coherence between the obtained results and the physics of the problem. The conclusions drawn in this work expand the theoretical understanding of two-layer heat transfer and may also contribute to improving the thermal design of multilayer engineering systems.
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