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Model Calculations on Levelness in Package Dyeing
Author(s) -
HOFFMANN F.,
MUELLER P. F.
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.tb03473.x
Subject(s) - dyeing , diffusion , sorption , constant (computer programming) , thermodynamics , materials science , mechanics , mathematics , chemistry , composite material , physics , computer science , adsorption , programming language
A simple mathematical model that includes (a) uniform liquor flow through a package and (b) Fickian diffusion of a dye within the fibres is described. The distribution of a dye within the package and the degree of levelness are calculated for constant dyeing conditions (e. g., constant temperature) and a dye with a linear sorption isotherm. The effect on levelness of the dyeing time, rate of liquor flow, liquor–to–goods ratio, package data, diffusion coefficient and final dyebath exhaustion are discussed. Using certain assumptions the levelling time is determined by two parameters only: a diffusion velocity v D and a streaming parameter s.