TY - GEN
T1 - Steady heat conduction in Cartesian coordinates and a library of Green's functions
AU - Cole, Kevin D.
AU - Crittenden, Paul E.
PY - 2001
Y1 - 2001
N2 - 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/).
AB - 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/).
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M3 - Conference contribution
AN - SCOPUS:0346275129
SN - 0791835332
SN - 9780791835333
T3 - Proceedings of the National Heat Transfer Conference
SP - 1373
EP - 1382
BT - Proceedings of the 2001 National Heat Transfer Conference Volume 2
T2 - 2001 National Heat Transfer Conference (NHTC2001)
Y2 - 10 June 2001 through 12 June 2001
ER -