The kinetics of disperse dyeing of polyester fibers is extremely complex. For a given dye/fiber system, the rate of dye uptake is controlled by physicochemical parameters such as distribution and diffusion coefficients. Mathematical analysis reveals, however, that even when such coefficients are constant, concentration-independent quantities, the uptake rate of disperse dye is still sensitive to other physicochemical parameters such as dyebath concentration and rate of flow.
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References
1.
Crank, J., A Diffusion Problem in Which the Amount of Diffusing Substance is Finite, Philosoph. Mag.39, 362-376 (1948).
2.
Etters, J.N. , Diffusional Boundary Layer Influence on Dye Sorption from Finite Baths, J. Soc. Dyers Colour.107, 114-116 (1991).
3.
Etters, J.N. , MassTransport in Finite Baths: Effect of Surface Barriers, Ind. Eng. Chem. Res.30, 589-591 (1991).
4.
Etters, J.N. , Isothermal Sorption from Finite Baths: Effect of the Boundary Layer on Sorption of Diffusants by Solids of Various Geometrical Shapes, J. Appl. Polym. Sci.42, 1519-1523 (1991).
5.
Etters, J.N., StatisticalEstimation of Diffusion Coefficients under Finite Bath, Surface Barrier Conditions, J. Appl. Polym. Sci.49, 1205-1210 (1993 ).
6.
Hill, A.V., Diffusion of Oxygen and Lactic Acid Through Tissues, Proc. R. Soc.104B, 39-96 (1928).
7.
Hou, M., Sarkar, A.K., and Fang, L., Polynomial Approximations for Diffusion-Controlled Dyeing Systems, in "Book of Papers, 1991 AATCC International Conference & Exhibition, AATCC, Research Triangle Park, NC, 1991, pp. 42-48.
8.
McGregor, R., and Etters, J.N., Transitional Kinetics in Disperse Dyeing, Textile Chem. Color . 11, 202-206 (1979).
9.
Newman, A.B. , The Drying of Porous Solids: Diffusion and Surface Emission Equations, Trans. Am. Inst. Chem. Eng.27, 203-220 (1931).
10.
Rattee, I.D., and Breuer, M.M., "The Physical Chemistry of Dye Adsorption," Academic Press, NY, 1974, p. 222.
11.
Vickerstaff, T., and Waters, E., The Dyeing of Cellulose Acetate Rayon with Dispersed Dyes, J. Soc. Dyers Colour.58, 116-125 (1942).
12.
Wilson, A.H. , A Diffusion Problem in Which the Amount of Diffusing Substance in Finite, Philosoph. Mag.39, 48-58 ( 1948).
