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Time Lag Diffusion Method for a Solid Propellant Emitting Gases

Published online by Cambridge University Press:  15 February 2011

James K. Baird
Affiliation:
Department of Chemistry, University of Alabama in Huntsville, Huntsville, AL 35802
Jenn-Shing Chen
Affiliation:
Department of Applied Chemistry, National Chiao Tung University, Hsinchu, Taiwan 30050 Republic of China.
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Abstract

In the ordinary application of the time-lag method to the measurement of the diffusion coefficient of a gas passing through a plane sheet of an inert solid, the gas is pressurized on one side of the sheet and evacuated on the other. After decay of transients, the cumulative amount, Q(t), of gas diffused through the sheet in time, t, assumes the “time-lag” form, Q(t) = A(t - L). Measurements of the slope, A, and the intercept, L, can be used to determine the diffusion coefficient and the solubility of the gas in the solid. We have rederived this law for the case of a solid which is actively evolving this same gas at an arbitrary rate and have used it to predict the rate of outgasing of the solid upon standing. Practical applications of the theory include radioactive decay of minerals, rejection of plasticizers by plastics, and the decomposition of solid rocket propellants.

Type
Research Article
Copyright
Copyright © Materials Research Society 1993

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References

1. Jost, W., Diffusion in Solids, Liquids, and Gases, (Academic Press, New York, 1960), p.44.Google Scholar
2. Crank, J., The Mathematics of Diffusion. (Oxford University Press, London, 1957), p. 48.Google Scholar
3. Daynes, H., Proc. Roy. Soc. A 97, 286 (1920).Google Scholar
4. Ref.1, pp 314–319.Google Scholar
5. Bellobono, I. R., Marcandalli, B., Sellli, E., and Polissi, A., J. Appl. Polym. Sci. 29, 3185 (1984).Google Scholar
6. Arfken, G., Mathematical Methods for Physicists. (Academic Press, New York, 1985), pp. 824859.Google Scholar
7. Gradshteyn, I.S. and Ryzhik, I.M., Table of Integrals. Series. and Products. (Academic Press, New York, 1980), p.7. Formula 0.234.5.Google Scholar