CHEMICAL ENGINEERING TRANSACTIONS
VOL. 43, 2015
A publication of
The Italian Association
of Chemical Engineering
Online at www.aidic.it/cet
Chief Editors: Sauro Pierucci, Jiří J. Klemeš
Copyright © 2015, AIDIC Servizi S.r.l.,
I SBN 978-88-95608-34-1; I SSN 2283-9216
How Does Radial Convection Influence the Performance of
Membrane Module for Gas Separation Processes?
Maria Anna Murmura
*a
, Luca Turchetti
b
, Rosaria Augelletti
a
, Maria Cristina
Annesini
a
, Stefano Cerbelli
a
a
Dipartimento di Ingegneria Chimica Materiali Ambiente, Sapienza Università di Roma, Via Eudossiana 18 – 00184 Rome
(Italy)
b
ENEA, Italian Agency for New Technologies, Energy and Environment Technical Unit for Renewable Energy Sources
UTRINN, Via Anguillarese 301 – 00123 Rome (Italy)
mariaanna.murmura@uniroma1.it
A two-dimensional axial-symmetric isothermal model, based on full coupling between mass and momentum
transport, has been developed to describe the separation of a binary gaseous mixture in a packed bed
membrane module. Steady-state conditions have been studied. The gaseous mixture to be separated enters
an annular gap between two co-axial cylinders. The inner wall of the outer cylinder is impermeable to both
components, whereas a membrane, with infinite selectivity towards one of the components, is supported onto
the outer wall of the inner cylinder. A radial flux of the permeating components is therefore present. The main
focus was on the determination of the influence of radial convection on the performance of the separator,
which has been analysed in terms of three dimensionless groups. Different transport regimes could be
identified, corresponding to different values of the dimensionless groups. The impact of radial convection has
been assessed by comparing model predictions with those of a fully uncoupled one-dimensional model. A
discrepancy up to 20% of the recovery has been observed in industrially relevant ranges of the parameters.
1. Introduction
Integration of reaction and separation in a single unit may bring to significant increases in the efficiency of
many chemical processes (Giaconia et al., 2013). Membrane reactors have been studied experimentally
(Santucci et al., 2011) and models have been widely presented in literature. In most models the radial
component of velocity is neglected, without a quantitative analysis of the errors caused by this assumption.
This is found for example in Godini et al. (2014), who studied ethylene production, and in Jin et al. (2000), who
studied partial oxidation of methane. As pointed out by Nekhamkina and Sheintuch (2014), these errors may
concern the evaluation of both the velocity profiles in the reactor and the total recovery of the permeating
component. A more accurate model may therefore be necessary to understand the system’s behaviour, and to
carry out an efficient optimization of reactor design. Studies in this direction will become increasingly important
as higher permeance membranes are developed.
In the present work a simple gas separation is studied as a basis for membrane reactor modelling. A two-
dimensional model is developed in which the coupling between mass and momentum transport is considered.
The results obtained are compared with a simpler model, where fluid-dynamics are decoupled from transport
of the permeating species. Model predictions are compared to determine the cases in which the simplified
model describes the behaviour of the reactor accurately enough.
2. Model Development
A 2D axial-symmetric isothermal steady-state model has been developed to describe the separation of a
binary gaseous mixture. The shell and tube configuration described above is often found when dealing with
DOI: 10.3303/CET1543178
Please cite this article as: Murmura M.A., Turchetti L., Augelletti R., Annesini M.C., Cerbelli S., 2015, How does radial convection influence the
performance of membrane module for gas separation processes?, Chemical Engineering Transactions, 43, 1063-1068
DOI: 10.3303/CET1543178
1063