Open AccessA moving boundary problem and orthogonal collocation in solving a dynamic liquid surfactant membrane model including osmosis and breakage
Author(s) -
Evaristo C. Biscaia,
Marcelo Borges Mansur,
Adriane Salum,
Roberto Machado Zica de Castro
Publication year - 2001
Publication title -
brazilian journal of chemical engineering/brazilian journal of chemical engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.313
H-Index - 52
eISSN - 1678-4383
pISSN - 0104-6632
DOI - 10.1590/s0104-66322001000200004
Subject(s) - orthogonal collocation , breakage , pulmonary surfactant , ordinary differential equation , extraction (chemistry) , chemistry , mechanics , boundary value problem , membrane , aqueous solution , materials science , chromatography , collocation method , differential equation , mathematics , mathematical analysis , physics , organic chemistry , biochemistry , composite material
A dynamic kinetic-diffusive model for the extraction of metallic ions from aqueous liquors using liquid surfactant membranes is proposed. The model incorporates undesirable intrinsic phenomena such as swelling and breakage of the emulsion globules that have to be controlled during process operation. These phenomena change the spatial location of the chemical reaction during the course of extraction, resulting in a transient moving boundary problem. The orthogonal collocation method was used to transform the partial differential equations into an ordinary differential equation set that was solved by an implicit numerical routine. The model was found to be numerically stable and reliable in predicting the behaviour of zinc extraction with acidic extractant for long residence times