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The dual reciprocity boundary element method for spontaneous ignition
Author(s) -
Partridge Paul W.,
Wrobel Luiz C.
Publication year - 1990
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620300502
Subject(s) - reciprocity (cultural anthropology) , ignition system , boundary element method , thermal conduction , boundary value problem , dual (grammatical number) , mathematics , spontaneous combustion , boundary (topology) , mechanics , mathematical analysis , finite element method , thermodynamics , physics , chemistry , combustion , psychology , social psychology , art , literature , organic chemistry
This paper studies the non‐linear heat conduction problem of spontaneous ignition of a reactive solid by using the dual reciprocity formulation of the boundary element method. First, critical values of the Frank‐Kamenetskii parameter δ are computed for some common geometrical shapes. Then, transient analyses are carried out for values of δ below and above δ c , producing the expected behaviour, with ignition occurring for δ > δ c .