We present a first approach to a model and an experimental study of mass transfer in cotton fabrics. After a few global approximations, we base our model on the wall theory, which allows us to calculate the apparent diffusion coefficient of salt in two different fabrics at different flows. Applying this model to textile washing units used industrially, we can obtain the impurity profile concentration in a fabric all through the washing process. With these profiles, we can then calculate the global efficiency of the washing process or any other process involving mass transfer.
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References
1.
1. Brun, J. P., and Masson, “Precedes de Séparation par Membranes,” 1989, pp. 16–17.
2.
2. Carslaw, H. S., and Jaeger, J. C., “Conduction of Heat in Solids,” Clarendon Press, Oxford, U.K., 1959.
3.
3. Clegg, G. G., The Breaking of Yams and Single Cotton Hairs, J. Textile Inst.17, T591–603 (1926).
4.
4. Cranck, J., “The Mathematics of Diffusion,” 2nd ed., Brunei University, Uxbridge, Clarendon Press, Oxford, U.K., 1975.
5.
5. Egle, C. J., and Grant, J. N., Interrelations of Structural and Physical Properties of Untreated Cottons, Textile Res. J.40, 158–168 (1970).
6.
6. Goldwaith, F. G., and Guthrie, J. D., “Matthew's Textile Fibers,” H. R. Mauersberger, Ed., Wiley Interscience, NY, 1954.
7.
7. Turner, A. J., The Structure of Textile Fibres, VIII: The Long Vegetable Fibres, J. Textile Inst.40(10):973–984 (1949).
