Steady heat conduction in Cartesian coordinates and a library of Green's functions

Kevin D Cole, Paul E. Crittenden

Research output: Chapter in Book/Report/Conference proceedingConference contribution

3 Citations (Scopus)

Abstract

In this paper steady heat conduction in Cartesian coordinates is discussed with the method of Green's functions for the slab, the rectangle, and the parallelepiped. The commonality among the components of the GF for 1-D, 2-D, and 3-D bodies is emphasized. The relationship between higher-dimension Green's functions and the lower-dimension Green's functions is discussed. There are at least two and sometimes several alternative expressions for each Green's function, and the alternative Green's functions are very important for construction of rapidly-converging series useful for numerical evaluation. A Green's Functions Library is described in which the Green's functions are organized according to a unique numbering system and are available on the world-wide web (http://www.engr.unl.edu/~glibrary/).

Original languageEnglish (US)
Title of host publicationProceedings of the 2001 National Heat Transfer Conference Volume 2
Pages1373-1382
Number of pages10
StatePublished - Dec 1 2001
Event2001 National Heat Transfer Conference (NHTC2001) - Ananheim, CA, United States
Duration: Jun 10 2001Jun 12 2001

Publication series

NameProceedings of the National Heat Transfer Conference
Volume2

Conference

Conference2001 National Heat Transfer Conference (NHTC2001)
CountryUnited States
CityAnanheim, CA
Period6/10/016/12/01

Fingerprint

Cartesian coordinates
Green's function
Heat conduction
conductive heat transfer
Green's functions
commonality
World Wide Web
parallelepipeds
Numbering systems
rectangles
slabs
evaluation

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)
  • Engineering (miscellaneous)

Cite this

Cole, K. D., & Crittenden, P. E. (2001). Steady heat conduction in Cartesian coordinates and a library of Green's functions. In Proceedings of the 2001 National Heat Transfer Conference Volume 2 (pp. 1373-1382). (Proceedings of the National Heat Transfer Conference; Vol. 2).

Steady heat conduction in Cartesian coordinates and a library of Green's functions. / Cole, Kevin D; Crittenden, Paul E.

Proceedings of the 2001 National Heat Transfer Conference Volume 2. 2001. p. 1373-1382 (Proceedings of the National Heat Transfer Conference; Vol. 2).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Cole, KD & Crittenden, PE 2001, Steady heat conduction in Cartesian coordinates and a library of Green's functions. in Proceedings of the 2001 National Heat Transfer Conference Volume 2. Proceedings of the National Heat Transfer Conference, vol. 2, pp. 1373-1382, 2001 National Heat Transfer Conference (NHTC2001), Ananheim, CA, United States, 6/10/01.
Cole KD, Crittenden PE. Steady heat conduction in Cartesian coordinates and a library of Green's functions. In Proceedings of the 2001 National Heat Transfer Conference Volume 2. 2001. p. 1373-1382. (Proceedings of the National Heat Transfer Conference).
Cole, Kevin D ; Crittenden, Paul E. / Steady heat conduction in Cartesian coordinates and a library of Green's functions. Proceedings of the 2001 National Heat Transfer Conference Volume 2. 2001. pp. 1373-1382 (Proceedings of the National Heat Transfer Conference).
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