Finite-Difference Numerical Analysis of Phase-Boundary Reaction Models for Cesium Penetration into Glass
AEROSPACE CORP EL SEGUNDO CA CHEMISTRY AND PHYSICS LAB
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Experimental data for the phase-boundary reaction and subsequent diffusion occurring when glass surfaces are exposed to aqueous cesium Cs have been theoretically analyzed. Partial differential equations resulting from a surface reaction followed by three possible modes of penetration, a simple diffusion, b interdiffusion, and c double diffusion of Cs, were numerically solved by means of a finite-difference technique. A model in which aqueous Cs is assumed to react rapidly with a time-dependent number of glass surface sites, followed by double-diffusion penetration, produced the best agreement with experiment. Cs diffusion coefficients of 2 x 10 to the -16th power and 3 x 10 to the -17th power sq cms were obtained. The value of the finite-difference solution technique is also discussed.
- Physical Chemistry
- Numerical Mathematics