Mathematical modelling of cross flow filtration phenomena with applications on residual water treatment

• Grant number: 15/16106-8
• Support Opportunities: Regular Research Grants
• Start date: April 01, 2016
• End date: March 31, 2018
• Field of knowledge: Engineering - Mechanical Engineering - Transport Phenomena
• Principal Investigator: Antonio Luís Venezuela
• Grantee: Antonio Luís Venezuela
• Host Institution: Centro de Ciências e Tecnologias para a Sustentabilidade (CCTS). Universidade Federal de São Carlos (UFSCAR). Sorocaba , SP, Brazil
• Associated researchers: Renata Natsumi Haneda ; Renato Fernandes Cantão ; Ricardo Schmitz Ongaratto

Abstract

In membrane separation processes (MSP), especially during ultrafiltration and microfiltration, it can be observed a decrease in permeate flow in time, caused by polarization phenomena. In this work we have considered the flow of a fluid (dextran solution) in a laminar regime into a tube with permeable surface. The average transmembrane flow was formulated by the resistance-in-series model. We have proposed a modified expression for the resistance of polarized concentration which is proportional to the average concentration within the boundary layer. The concentration profile was obtained by solving the conservation equation of chemical species via GITT (Generalized Integral Transform Technique). The simulated results of permeate flow were compared with experimental results from the literature. We are proposing in this research a mixed methodology, involving experimental data from the literature and mathematical modelling parts, able to provide estimations for important parameters related to tangential filtration applied to wastewater, such as permeate flow, concentration profiles, resistance of polarized concentration, mass transference coefficient and the boundary layer thickness. (AU)