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

9 Scopus citations


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 (

Original languageEnglish (US)
Title of host publicationProceedings of the 2001 National Heat Transfer Conference Volume 2
Number of pages10
StatePublished - 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


Conference2001 National Heat Transfer Conference (NHTC2001)
Country/TerritoryUnited States
CityAnanheim, CA

ASJC Scopus subject areas

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


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