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Model of Reactive Transport within a Light Photocatalytic Textile

  • Degrave Robin EMAIL logo , Cockx Arnaud and Schmitz Philippe
Published/Copyright: November 17, 2015

Abstract

This paper deals with the 3D-modeling of the reactive transport within a light photocatalytic textile used to decontaminate industrial effluents. The model consists of the coupling of fluid flow governing equations, species convection diffusion equations and a heterogeneous reaction equation. It is solved numerically on a Representative Volume Element (RVE) of the textile, i.e. at the microscopic scale regarding the industrial photocatalytic reactor using Comsol Multiphysics software. In a preliminary approach, the reactive transport model was first applied in a 2D simple geometry to verify its accuracy in terms of mass balance of the species. Then successive simulations using pseudo-periodic boundary conditions were performed in the RVE and the depollution efficiency along the textile length is analysed in terms of pollutant concentration. A sensitivity analysis was done to reveal the relative importance of the kinetic and hydrodynamic parameters in prediction of pollutant concentration fields in the RVE. It was found that a high adsorption rate associated with a low permeable fabric maximizes the amount of treated fluid. Finally the performances of a typical reactor composed of a stack of textiles were investigated. Results show a significant improvement of depollution efficiency of this particular configuration compared to single textiles in parallel.

Nomenclature

ε

Fabric porosity dimensionless

μ

Fluid viscosity Pa.s1

ρ

Fluid density kg.m3

θ=cAsc0S

Coverage rate dimensionless

d

Optical fibres diameter m

U0

Mean fluid velocity m.s1

D

Pollutant diffusion coefficient m2.s1

k1

Adsorption rate m3.mol1.s1

k1

Desorption rate s1

kr

Reaction rate s1

c0S

Total number of available active site mol.m2

c0

Initial volume pollutant concentration mol.m3

cA

Volume pollutant concentration mol.m3

cB

Volume concentration of degraded form pollutantmol.m3

cAS

Surface pollutant concentration mol.m2

K

Fabric permeability m2

p

Fluid pressure Pa

Q

Total flow rate through the photocatalytic textile m3.s1

u

Fluid velocity m.s1

n

Normal vector

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Published Online: 2015-11-17
Published in Print: 2016-2-1

©2016 by De Gruyter

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