Finite-Difference Numerical Analysis of Phase-Boundary Reaction Models for Cesium Penetration into Glass

Abstract

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 cm/s were obtained. The value of the finite-difference solution technique is also discussed.

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Document Details

Document Type
Technical Report
Publication Date
Jun 24, 1985
Accession Number
ADA158513

Entities

People

  • M. Wun-fogle
  • Robert P. Frueholz

Organizations

  • The Aerospace Corporation

Tags

Communities of Interest

  • Advanced Electronics
  • Energy and Power Technologies
  • Space

DTIC Thesaurus Topics

  • Atoms
  • Boundaries
  • Chemical Reactions
  • Chemistry
  • Coefficients
  • Differential Equations
  • Diffusion
  • Diffusion Coefficient
  • Equations
  • Experimental Data
  • Materials
  • Materials Science
  • Numerical Analysis
  • Partial Differential Equations
  • Physics Laboratories
  • Space Systems
  • Surface Reactions

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Materials Science and Engineering.
  • Molecular Photonics/Laser Physics