Green’s Functions for Heat Conduction for Unbounded and Bounded Rectangular Spaces: Time and Frequency Domain Solutions
Joint Authors
Simões, Inês
Simões, Nuno
Tadeu, António
Source
Journal of Applied Mathematics
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-22, 22 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-02-17
Country of Publication
Egypt
No. of Pages
22
Main Subjects
Abstract EN
This paper presents a set of fully analytical solutions, together with explicit expressions, in the time and frequency domain for the heat conduction response of homogeneous unbounded and of bounded rectangular spaces (three-, two-, and one-dimensional spaces) subjected to point, line, and plane heat diffusion sources.
Particular attention is given to the case of spatially sinusoidal, harmonic line sources.
In the literature this problem is often referred to as the two-and-a-half-dimensional fundamental solution or 2.5D Green’s functions.
These equations are very useful for formulating three-dimensional thermodynamic problems by means of integral transforms methods and/or boundary elements.
The image source technique is used to build up different geometries such as half-spaces, corners, rectangular pipes, and parallelepiped boxes.
The final expressions are verified here by applying the equations to problems for which the solution is known analytically in the time domain.
American Psychological Association (APA)
Simões, Inês& Tadeu, António& Simões, Nuno. 2016. Green’s Functions for Heat Conduction for Unbounded and Bounded Rectangular Spaces: Time and Frequency Domain Solutions. Journal of Applied Mathematics،Vol. 2016, no. 2016, pp.1-22.
https://search.emarefa.net/detail/BIM-1107228
Modern Language Association (MLA)
Simões, Inês…[et al.]. Green’s Functions for Heat Conduction for Unbounded and Bounded Rectangular Spaces: Time and Frequency Domain Solutions. Journal of Applied Mathematics No. 2016 (2016), pp.1-22.
https://search.emarefa.net/detail/BIM-1107228
American Medical Association (AMA)
Simões, Inês& Tadeu, António& Simões, Nuno. Green’s Functions for Heat Conduction for Unbounded and Bounded Rectangular Spaces: Time and Frequency Domain Solutions. Journal of Applied Mathematics. 2016. Vol. 2016, no. 2016, pp.1-22.
https://search.emarefa.net/detail/BIM-1107228
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1107228