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Approximations Describing the Rate of Diffusion of Dye into an Infinite Cylinder and Plane Sheet from a Constant Surface Concentration
Author(s) -
SHIBUSAWA TAKAO
Publication year - 1979
Publication title -
journal of the society of dyers and colourists
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.297
H-Index - 49
eISSN - 1478-4408
pISSN - 0037-9859
DOI - 10.1111/j.1478-4408.1979.tb03472.x
Subject(s) - diffusion , cylinder , constant (computer programming) , plane (geometry) , mathematics , mathematical analysis , dyeing , interval (graph theory) , surface (topology) , geometry , materials science , thermodynamics , physics , computer science , composite material , combinatorics , programming language
Approximations to the Hill and McBain equations with 3–figure accuracy were obtained by dividing the whole interval of the equations into three subintervals, and making approximations to the subintervals by means of the method of Hastings. The approximations allow the calculation of the diffusion coefficient of a dye from an experimentally determined rate–of–dyeing curve.