Numerical modelling of concentration polarisation and cake formation in membrane filtration processes

Mahendra Paipuri, Soo Hyeong Kim, Oubay Hassan, Nidal Hilal, Ken Morgan

Research output: Contribution to journalArticle

8 Citations (Scopus)

Abstract

A model capable of predicting concentration polarisation and cake formation in cross-flow membrane filtration is proposed. The cross-flow hydrodynamics is resolved by solving the Navier-Stokes equations and convection-diffusion equation is used to resolve the solute distribution. A Lattice-Boltzmann (LB) scheme is used for the hydrodynamics and this is coupled with an LB scheme or a finite volume (FV) scheme for modelling the cake formation. The equations are coupled through the velocity and the viscosity, which is assumed to vary with the solute concentration. Concentration polarisation is modelled for interacting nano-particles by using concentration dependence on diffusion coefficient and osmotic pressure gradient as a function of solute concentration. Cake formation phenomenon is predicted for interacting nano-particles and non-interacting solute particles using the same approach. The proposed model is validated by comparing the results obtained for a number of problems with the predictions produced by other computational models and experimental results available in literature.

Original languageEnglish
Pages (from-to)151-159
Number of pages9
JournalDesalination
Volume365
DOIs
Publication statusPublished - 1 Jun 2015
Externally publishedYes

Fingerprint

solute
polarization
Polarization
membrane
Membranes
Hydrodynamics
modeling
hydrodynamics
Pressure gradient
Navier Stokes equations
Navier-Stokes equations
pressure gradient
Viscosity
viscosity
convection
prediction
nanoparticle
Convection

Keywords

  • Cake formation
  • Concentration polarisation
  • Desalination
  • Filtration
  • Solute interactions

ASJC Scopus subject areas

  • Chemical Engineering(all)
  • Mechanical Engineering
  • Chemistry(all)
  • Materials Science(all)
  • Water Science and Technology

Cite this

Numerical modelling of concentration polarisation and cake formation in membrane filtration processes. / Paipuri, Mahendra; Kim, Soo Hyeong; Hassan, Oubay; Hilal, Nidal; Morgan, Ken.

In: Desalination, Vol. 365, 01.06.2015, p. 151-159.

Research output: Contribution to journalArticle

Paipuri, Mahendra ; Kim, Soo Hyeong ; Hassan, Oubay ; Hilal, Nidal ; Morgan, Ken. / Numerical modelling of concentration polarisation and cake formation in membrane filtration processes. In: Desalination. 2015 ; Vol. 365. pp. 151-159.
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