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