Open AccessAnalytical Method for Heat Conduction Problem with Internal Heat Source in Irregular Domains
Author(s) -
Hongming Fan,
Sen Lin Tang,
Hua Jin,
Huaqing Yu
Publication year - 2013
Publication title -
advances in mechanical engineering/advances in mechanical engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.318
H-Index - 40
eISSN - 1687-8140
pISSN - 1687-8132
DOI - 10.1155/2013/173237
Subject(s) - thermal conduction , conformal map , heat transfer , boundary value problem , boundary (topology) , heat equation , mathematics , heat kernel , field (mathematics) , mathematical analysis , computer science , mechanics , physics , thermodynamics , pure mathematics
In engineering field, analytical methods can only be applied to classic heat transfer problems with regular geometric boundaries. It is difficult to apply analytical methods in solving the mathematical and physical equations in nonorthogonal boundary of irregular domains. In this paper, we presented a method by conformal mapping from the solution for heat conduction problems in regular domains to solve problems in irregular domains