Eventos Anais de eventos
COBEM 2017
24th ABCM International Congress of Mechanical Engineering
Modified Resistance-in-Series Model - Determination of Mean Concentration by Integral Transformation
Submission Author:
Antonio Venezuela , SP , Brazil
Co-Authors:
Renato F. Cantão, Ricardo Ongaratto, Renata Haneda, Antonio Venezuela
Presenter: Antonio Venezuela
doi://10.26678/ABCM.COBEM2017.COB17-2895
Abstract
There are several mathematical models that describe permeate flow in membrane separation processes. Among these, the resistance-in-series model plays a prominent role. It takes into account membrane strength, concentration polarization, polarized layer and fouling to describe the permeate flow over time. In this work, an analysis of the modified resistance-in-series model was performed, in which the resistance by polarization of the concentration is defined as being directly proportional to the transmembrane pressure. The proportionality constant is given by the product of a specific coefficient of resistance – which is determined by means of experimental data – the thickness of the boundary layer of concentration and the mean concentration. Due to the inability to obtain experimentally the value of the average concentration within the boundary layer of concentration, its simulation is carried out from the conservation equation of the chemical species. Thus, the objective of the present work was to solve the chemical species conservation equation using GITT (Generalized Integral Transform Technique) and apply the modified resistance-in-series model to describe the permeate flow of a solution of dextran through a permeable tube under laminar flow. GITT provided satisfactory results for the mean concentration, verified by comparison with the permeate flow obtained by the resistance-in-series model with experimental results reported in the literature.
Keywords
Hybrid Methods, Permeate Flow, Polarization Resistance, cross-flow
