Three-dimensional fundamental solutions for transient heat transfer by conducti...

• Author(s): Tadeu, António ; Simões, Nuno
• Date: 2006
• Persistent ID: http://hdl.handle.net/10316/3975
• Origin: Estudo Geral - Universidade de Coimbra
• Subject(s): Transient heat transfer; Conduction; 3D Green's functions; Layered media
• Document Type: Article
• Language: English

Description

This paper presents analytical Green's functions for the transient heat transfer phenomena by conduction, for an unbounded medium, half-space, slab and layered formation when subjected to a point heat source. The transient heat responses generated by a spherical heat source are computed as Bessel integrals, following the transformations proposed by Sommerfeld [Sommerfeld A. Mechanics of deformable bodies. New York: Academic Press; 1950; Ewing WM, Jardetzky WS, Press F. Elastic waves in layered media. New York: McGraw-Hill; 1957]. The integrals can be modelled as discrete summations, assuming a set of sources equally spaced along the vertical direction. The expressions presented here allow the heat field inside a layered formation to be computed without fully discretizing the interior domain or boundary interfaces. http://www.sciencedirect.com/science/article/B6V2N-4JN2NS4-1/1/4ad69d2742a1d9c4db37845c9d8ef524