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Diffusion in a moving medium with time‐dependent boundaries
Author(s) -
Forster H. Kurt
Publication year - 1957
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.690030420
Subject(s) - diffusion , rest (music) , motion (physics) , boundary (topology) , mathematical analysis , evaporation , boundary problem , mechanics , mathematics , classical mechanics , physics , thermodynamics , acoustics
The problem of diffusion in a moving medium with given motion of the boundaries is considered. The method presented yields the analytical solution to any desired degree of accuracy provided that solutions for certain associated problems of diffusion in a medium at rest with boundaries at rest are known. The method is applied to the analysis of partial and approximate solutions previously presented for the one‐dimensional case of a spherical cavity in a liquid with radial boundary motion induced by evaporation.