An Analytical Solution for a Mathematical Model of Emulsion Liquid Membrane

Author

Huifang Fan ; Li Liu ; Fei Ma ; Hui Xie ; Jie Yu

Author_Institution

Coll. of Civil & Environ. Eng., Univ. of Sci. & Technol. Beijing Beijing, Beijing, China

Volume

2

fYear

2010

Firstpage

484

Lastpage

488

Abstract

This paper presents a detailed analytical solution for a mathematical model of Emulsion Liquid Membrane (ELM) extracting hazard metal from waste water. By solving the resulting simultaneous partial differential equations using the Laplace transform method, we obtain formulas for solute (hazard metal) concentration in external phase (waste water) versus time, solute concentration profile inside the membrane globule and interfacial concentration at the external-membrane phase interface versus time. The model predictions agree very well with the experimental data obtained from the removal of arsenic by emulsion liquid membranes.

Keywords

Laplace transforms; chemical technology; emulsions; membranes; partial differential equations; separation; Laplace transform method; emulsion liquid membrane; external-membrane phase interface; hazard metal extraction; interfacial concentration; mathematical model; partial differential equations; Analytical models; Biomembranes; Computational modeling; Computer simulation; Educational institutions; Influenza; Laplace equations; Mathematical model; Virtual manufacturing; Wastewater treatment; Analytical solution; Arsenic removal; Emulsion liquid membrane; Laplace transform method; Mathematical model;

fLanguage

English

Publisher

ieee

Conference_Titel

Computer Modeling and Simulation, 2010. ICCMS '10. Second International Conference on

Conference_Location

Sanya, Hainan

Print_ISBN

978-1-4244-5642-0

Electronic_ISBN

978-1-4244-5643-7

Type

conf

DOI

10.1109/ICCMS.2010.121

Filename

5421138