We present a mathematical model for the diffusion-reaction process, describing the dyeing of textile fibers with monofunctional reactive dyes. In particular, we have studied the behavior of the fixation efficiency for various dyeing conditions.
Get full access to this article
View all access options for this article.
References
1.
Amundson, N.R. , and Luss, D., On a Conjecture of Aris: Proof and Remarks , AIChE J.13, 759 (1967).
2.
Aris, R., "The Mathematical Theory of Diffusion and Reaction in Permeable Catalysts ," Clarendon Press, Oxford, 1975.
3.
Datyner, A., Rys, P., and Zollinger, H., Hydrolyse undAlkoholyse von Reaktivfarbstoffen, II: Hydrolyse von Monochlortriazin-Farbstoffen , Helv. Chim. Acta49, 755 (1966).
4.
Morita, Z., and Motomura, H., Diffusion with Simultaneous Reaction of Reactive Dyes in Cellulose , J. Appl. Polym. Sci.21, 487 (1977).
5.
Morita, Z., Nishikawa, I., and Motomura, H., Reaction of Dichlorotriazinyl Reactive Dyes with Cellulose and Simultaneous Diffusion in Cellulose, Sen-i Gakkaishi39, T-485 (1983 ).
6.
Morita, Z., Kawamura, G., and Motomura, H., Diffusion and Simultaneous Reaction of Monochlorotriazinyl Reactive Dyes in Cellulose, Sen-i Gakkaishi42, T-92 (1986).
7.
Ott, R.J., and Rys, P., Sorption-Diffusion in Heterogeneous Systems, Part 6: General Behavior of Diffusion-controlled Competitive Sorption Processes, J. Chem. Soc. Faraday Trans.I69, 1694 (1973).
8.
Rattee, I.D. , Einige Untersuchungen über die Fixierung von Reaktivfarbstoffen auf Baumwolle in der Apparatfarberei, Melliand Textilber.45, 782 ( 1964).
9.
Rattee, I.D., The Chemistry of Synthetic Dyes, vol. VIII, K. Venkataraman, Ed., Academic Press, New York, 1978, p. 1-36.
10.
Rys, P., TheInteraction of Mass Diffusion and Chemical Reaction During Finishing and Dyeing of Textiles, Textile Res. J.43, 24 (1973).
11.
Rys, P., DasReaktionsverhalten von Reaktivfarbstoffen mit chlorierten Heteroaromaten, Textilveredlung2, 95 (1967).
12.
Rys, P., and Zollinger, H., Hydrolyse undAlkoholyse von Reaktivfarbstoffen, I: Hydrolyse von Dichlortriazin-Farbstoffen , Helv. Chim. Acta49, 749 (1966).
13.
Rys, P., and Zollinger, H., Theory of Coloration of Textiles, 1st ed., C. L. Bird and W. S. Boston , Eds., Dyers Comp. Publ. Trust, Bradford, 1975, pp. 326-358.
14.
Sperb, R.P. , Note on the Effectiveness Factor of a First Order Reaction, Z. Angew. Math. Phys.35, 116 (1984).
15.
Sumner, H.H. , TheMechanism of Dyeing with Procion Dyes, I: The Mechanism of Alkali Adsorption by Cellulose, J. Soc. Dyers Colour. 76, 672 (1960).
16.
Tsimboukis, D.G., and Petropoulos , J.H., Behaviour of Simple Ions in the System Cellulose-Anionic Dye-simple Electrolyte, Part 1: Partition Equilibria, Part 2: Diffusion Coefficients, J. Chem. Soc. Faraday Trans.I75, 705, 717 (1979).
17.
Weisz, P.B. , Sorption-Diffusion in Heterogeneous Systems, Part 1: General Sorption Behaviour and Criteria, Trans. Faraday Soc.63, 1801 (1967).
18.
Weisz, P.B. , and Hicks, J.S., Sorption-Diffusion in Heterogeneous Systems, Part 2: Quantitative Solutions for Uptake Rates, Trans. Faraday Soc.63, 1807 ( 1967).
19.
Weisz, P.B. , and Zollinger, H., Sorption-Diffusion in Heterogeneous Systems, Part 3: Experimental Models of Dye Sorption, Trans. Faraday Soc.63, 1815 (1967).
20.
Weisz, P.B. , and Zollinger, H., Sorption-Diffusion in Heterogeneous Systems, Part 4: Dyeing Rates in Organic Fibres, Trans. Faraday Soc.64, 1693 (1968).
21.
Weisz, P.B. , and Zollinger, H., Die tiefere Bedeutung des Diffusionskoeffizienten bei Färbevorgängen, Melliand Textilber.48, 70 (1967).