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Mathematical and numerical modelling of a circular cross-flow filtration module

journal contribution
posted on 15.11.2019 by Antonis Parasyris, Marco Discacciati, Diganta Das
We present a computational modelling framework to assess the fluid dynamic behaviour of a circular cross-flow filtration module for water purification. We study two modelling approaches, namely, the Navier-Stokes-Darcy and the one-domain models, that provide a different characterization of the flow in the interfacial region between the feed domain and the membrane surface. Extensive comparison of the numerical results obtained by the two approaches highlights significant differences in the predicted fluid tangential velocity on the membrane surface. Numerical modelling permits to gain a deeper understanding of the flow behaviour than the sole experimental work, e.g., by identifying Dean vortices inside the feed domain and by relating them to geometrical and flow characteristics. This study lays the basis for the optimization of the circular cross-flow filtration module.

Funding

EPSRC Doctoral Training Programme awarded to Loughborough University

History

School

  • Science
  • Aeronautical, Automotive, Chemical and Materials Engineering

Department

  • Chemical Engineering
  • Mathematical Sciences

Published in

Applied Mathematical Modelling

Volume

80

Pages

84-98

Publisher

Elsevier

Version

AM (Accepted Manuscript)

Rights holder

© Elsevier

Publisher statement

This paper was accepted for publication in the journal Applied Mathematical Modelling and the definitive published version is available at https://doi.org/10.1016/j.apm.2019.11.016.

Acceptance date

12/11/2019

Publication date

2019-11-16

Copyright date

2020

ISSN

0307-904X

Language

en

Depositor

Dr Marco Discacciati. Deposit date: 14 November 2019

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