Analysis of phase-boundary motion in diffusion-controlled processes: Part I. Solution of the diffusion equation with a moving boundary

✍ Scribed by J. R. Griffin; D. R. Coughanowr

• Publisher: American Institute of Chemical Engineers
• Year: 1965
• Tongue: English
• Weight: 509 KB
• Volume: 11
• Category: Article
• ISSN: 0001-1541
• DOI: 10.1002/aic.690110128

✦ Synopsis

Three general methods are developed for solving moving-boundary problems which are governed by diffusional processes such as heat and mass transfer. Examples of such problems include melting, evaporation, and ablation. A method based upon a Riemann-Volterra integration of the diffusion equation leads to nonlinear integrodifferentiol equations for the boundary motion that are in terms of definite integrals involving Green's functions. An analytical method, which is more convenient for problems involving phase motion, is based on the method of intermediate integrals. A numerical method based on finite difference approximations is implemented on the differential analyzer (analogue computer).