Premium
Bounded and patched solutions for boundary value problems
Author(s) -
Churchill Stuart W.
Publication year - 1965
Publication title -
aiche journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.958
H-Index - 167
eISSN - 1547-5905
pISSN - 0001-1541
DOI - 10.1002/aic.690110312
Subject(s) - bounding overwatch , bounded function , thermal conduction , limiting , mathematics , boundary value problem , convection , mathematical optimization , mathematical analysis , computer science , thermodynamics , engineering , physics , mechanical engineering , artificial intelligence
The technique of bounding, that is of constructing general solutions for all ranges of the variables and parameters from solutions for a few limiting and special cases, is outlined and illustrated for problems in conduction and convection. The technique of patching, that is of constructing approximate solutions for multiphase media by the combination of pseudo solutions for the different regions, is also outlined and illustrated for problems in conduction and freezing. The shortcomings and possible inaccuracies of these two techniques are indicated as well.