Title :
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
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;
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
DOI :
10.1109/ICCMS.2010.121
