The reaction of polymeric media with a chemical reagent generally involves the preliminary diffusion of the reagent through the polymer.
The effect of a relatively rapid diffusion of a chemical reagent into a cylindrical fiber on the over all rate of reaction is considered and the equation therefor is derived. The equation is applicable both to the extent of the reaction and to the decay of stress in the polymer, provided that a linear relationship between stress and extent of reaction is assumed.
Get full access to this article
View all access options for this article.
References
1.
Alexander, P. , Carter, D., and Hudson, R.F., J. Soc. Dyers and Colourists65, 152 (1949).
2.
Alexander, P. , and Hudson, R.F., J. Phys. Colloid Chem.53, 733 (1949).
3.
Andrews, R.D. , Tobolsky, A.V., and Hanson, E.E., J. Applied Phys.17, 352 (1946).
4.
Barrer, R.M., "Diffusion In and Through Solids," Cambridge, University Press, 1941.
5.
Barrer, R.M. , in "Symposium on Fibrous Proteins," Leeds, England, Soc. Dyers and Colourists, 1946, p. 108.
6.
Boyd, G.E., Adamson, A.W., and Myers, L.S., Jr., J. Am. Chem. Soc.69, 2836 (1947).
7.
Carslaw, H.S. , and Jaeger, J.C., "Conduction of Heat in Solids," London, Oxford University Press, 1949, p. 179.
8.
Collins, F.C. , and Kimball, G.E., J. Colloid Sci.4, 425 (1949).
9.
Crank, J., Phil. Mag.39, 140 (1948).
10.
Crank, J., Phil. Mag.39, 362 (1948).
11.
Crank, J., J. Soc. Dyers and Colourists64, 386 (1948).
12.
Flory, P.J. , Chem. Revs.35, 51 (1944).
13.
Guth, E., and James, H.M., J. Chem. Phys.11, 455 (1943).
14.
Hermans, J.J. , J. Colloid Sci.2, 387 (1947).
15.
Katz, S.M., and Tobolsky, A.V., TEXTILE RESEARCH JOURNAL20, 87 (1950).
16.
Lundgren, H., manuscript in preparation.
17.
Menkart. J., and Speakman, J.B., J. Soc. Dyers and Colourists63, 322 (1947).
18.
Mochulsky, M. , and Tobolsky, A.V., Ind. Eng. Chem.40, 2155 (1948 ).
