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Heat and mass diffusion with chemical reaction: A moving boundary analysis in a particle
Author(s) -
Essoh Djedjess C.,
Klinzing George E.
Publication year - 1980
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.690260525
Subject(s) - boundary value problem , boundary (topology) , limiting , particle (ecology) , mathematical analysis , mathematics , mechanics , diffusion , transformation (genetics) , thermodynamics , physics , chemistry , engineering , mechanical engineering , oceanography , geology , biochemistry , gene
Goodman's integral heat and mass balance method is applied to the problem of a moving boundary in a spherical particle. The moving boundary was fixed by a suitable transformation for ease in solution. The mean value theorem was used to treat the nonlinearities when they occurred. Relations for the heat and mass boundary positions are obtained for the most general conditions. These expressions reduce in their limiting cases to known results.