An improved numerical algorithm for ternary diffusion with a moving interface

An improved method for numerical solution of the ternary diffusion equations with a moving interface is presented. The algorithm is based on a modified form of the jump boundary condition which gives improved accuracy and stabilization of the initial growth period without the need for a short time a...

Full description

Saved in:
Bibliographic Details
Published in:Chemical engineering science 1991, Vol.46 (4), p.1179-1187
Main Authors: Tsay, C.S., McHugh, A.J.
Format: Article
Language:English
Subjects:
Applied sciences
Chemical engineering
Exact sciences and technology
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:An improved method for numerical solution of the ternary diffusion equations with a moving interface is presented. The algorithm is based on a modified form of the jump boundary condition which gives improved accuracy and stabilization of the initial growth period without the need for a short time approximation. Calculations are presented to illustrate application to the quench step of the phase inversion process for membrane formation. Accuracy is demonstrated through comparison with analytical solutions for the case of constant diffusivity and infinite domains. The new algorithm is demonstrated to be relatively insensitive to initial guesses of the interfacial composition and is especially applicable to systems having an initial composition profile.
ISSN:0009-2509
1873-4405
DOI:10.1016/0009-2509(91)85111-A