2.5D Green's Functions For Transient Heat Conduction Problems In
Layered Formations
Author(s)
A. Tadeu, J. António & N. Simões
Abstract
2.5D Green's functions for transient heat
conduction problems in layered formations
A. Tadeu, J. Ant6nio & N. Sim6es
Civil Engineering Department, Faculty of Sciences and Technology,
University of Coimbra, Portugal
Abstract
This paper presents fundamental solutions for the response of homogeneous
three-dimensional layered solid formations subjected to spatially sinusoidal
harmonic heat line sources. The formulation is performed in the frequency
domain, while time solutions are computed using inverse Fourier transforms.
Interference from aliasing is prevented by the use of complex frequencies. The
formulas are not only interesting per se, but they are also useful as benchmark
solutions for numerical applications. When the solutions are applied in
conjunction with numerical methods, such as the Boundary Element Method,
discretization of the material interfaces is not necessary. They may well prove to
be very useful in many engineering applications, such as the calculation of the
heat insulation
Keywords
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