Please use this identifier to cite or link to this item:
https://hdl.handle.net/10316/3980
Title: | Fundamental solutions for transient heat transfer by conduction and convection in an unbounded, half-space, slab and layered media in the frequency domain | Authors: | Simões, Nuno Tadeu, António |
Keywords: | Transient heat transfer; Conduction; Convection; 2.5D Green's functions; Layered media | Issue Date: | 2005 | Citation: | Engineering Analysis with Boundary Elements. 29:12 (2005) 1130-1142 | Abstract: | Analytical Green's functions in the frequency domain are presented for the three-dimensional diffusion equation in an unbounded, half-space, slab and layered media. These proposed expressions take into account the conduction and convection phenomena, assuming that the system is subjected to spatially sinusoidal harmonic heat line sources and do not require any type of discretization of the space domain. The application of time and spatial Fourier transforms along the two horizontal directions allows the solution of the three-dimensional time convection-diffusion equation for a heat point source to be obtained as a summation of one-dimensional responses. The problem is recast in the time domain by means of inverse Fourier transforms using complex frequencies in order to avoid aliasing phenomenon. Further, no restriction is placed on the source time dependence, since the static response is obtained by limiting the frequency to zero and the high frequency contribution to the response is small. | URI: | https://hdl.handle.net/10316/3980 | DOI: | 10.1016/j.enganabound.2006.01.011 | Rights: | openAccess |
Appears in Collections: | FCTUC Eng.Civil - Artigos em Revistas Internacionais |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
filefcbdbcd0c8c6415d84e4bf96fe12bd3f.pdf | 328.81 kB | Adobe PDF | View/Open |
SCOPUSTM
Citations
28
checked on Oct 7, 2024
WEB OF SCIENCETM
Citations
30
checked on Oct 2, 2024
Page view(s) 50
590
checked on Oct 15, 2024
Download(s)
493
checked on Oct 15, 2024
Google ScholarTM
Check
Altmetric
Altmetric
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.