Matching Cylindrical Domains in the Finite Difference Method: Application to Vulcanization

Abstract

A simple procedure to obtain the matching of cylindrical domains in the finite difference method is studied. Coordinate transformations are carried out in each domain to get appropriate normalizations and an algorithm to match temperature profiles and heat fluxes at interfaces is developed. This procedure is applied to a cylindrical reacion chamber to evaluate the degree of vulcanization of rubber compounds as function of reaction time.