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Moving boundary problems in simple shapes solved by isotherm migration
Author(s) -
Talmon Y.,
Davis H. T.,
Scriven L. E.
Publication year - 1983
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.690290513
Subject(s) - simple (philosophy) , boundary value problem , boundary (topology) , stefan problem , mechanics , dispersion (optics) , spheres , type (biology) , materials science , mathematics , thermodynamics , physics , mathematical analysis , geology , optics , paleontology , philosophy , epistemology , astronomy
The Modified Isotherm Migration Method (MIMM) is developed for solving one‐dimensional Stefan‐type problems of multifront propagation in slabs, cylinders and spheres with a boundary condition of the third kind (radiation‐type boundary condition). The method is illustrated for all three geometries with applications to the thawing of ice and to the freezing of a 50–50 dispersion of tetradecane in water, a system in which two freezing fronts propagate simultaneously.