Journal of Power Sources 195 (2010) 4842–4852
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Journal of Power Sources
journal homepage: www.elsevier.com/locate/jpowsour
A study of multi-phase flow through the cathode side of an interdigitated flow
field using a multi-fluid model
Torsten Berning
∗
, Madeleine Odgaard, Søren Knudsen Kær
Department of Energy Technology, Aalborg University, Pontoppidanstraede 101, 9220 Aalborg, Denmark
article info
Article history:
Received 31 October 2009
Received in revised form 14 January 2010
Accepted 8 February 2010
Available online 13 February 2010
Keywords:
Polymer electrolyte membrane fuel cells
Fuel cell modeling
Multi-phase flow
Multi-fluid model
CFD modeling
abstract
This work presents a study of multi-phase flow through the cathode side of a polymer electrolyte mem-
brane fuel cell employing an interdigitated flow field plate. A previously published model has been
extended in order to account for phase change kinetics, and a comparison between the interdigitated
flow field design and a conventional straight channel design has been conducted. It is found that the
parasitic pressure drop in the interdigitated design is in the range of a few thousand Pa and could be
reduced to a few hundred Pa by choosing diffusion media with high in-plane permeability. The additional
compressor work due to the increased pressure loss will only slightly increase, and this may be offset
by operating at lower stoichiometries as the interdigitated design is less mass transfer controlled, which
means that the overall efficiency of the interdigitated arrangement will be higher. In the interdigitated
design more product water is carried out of the cell in the vapor phase compared to the straight channel
design which indicates that liquid water management might be less problematic. This effect also leads to
the finding that in the interdigitated design more waste heat is carried out of the cell in the form of latent
heat which reduces the load on the coolant. Finally we see that the micro-porous layer might help keep
the gas diffusion layer substrate dry due to a potentially higher evaporation rate caused by a combination
of the Kelvin effect and a larger specific surface area compared to the diffusion layer substrate.
© 2010 Elsevier B.V. All rights reserved.
1. Introduction
One general major question of fuel cell design concerns the
detailed geometry of the flow field plates. The different possible
designs include straight, parallel channels which have a small pres-
sure drop and gas velocities, serpentine channels which have a
larger pressure drop and higher gas velocities, or the interdigitated
design where straight inlet channels are dead-ended and a con-
vective flow of the gas and liquid is enforced through the porous
gas “diffusion” media (GDM) to the straight outlet channels at the
cost of an increased pressure drop. This paper describes a numeri-
cal study that compares the interdigitated cell design with straight
channel cell design employing a newly developed computational
model that is based on the formerly commercial software code
CFX-4.4. The model employs the so-called multi-fluid approach,
which solves one complete set of transport equations for each
phase. The physics of phase change have now been implemented
and the model also accounts for the Kelvin effect. Other details of
the model have been described in a previous publication [1]. In
brief, the model allows for the specification of material parameters
∗
Corresponding author. Tel.: +45 9940 9261; fax: +45 98151411.
E-mail addresses: tbe@iet.aau.dk, torsten.berning@alumni.uvic.ca (T. Berning),
skk@iet.aau.dk (S.K. Kær).
such as the irreducible saturation, the in- and through-plane per-
meability, porosity and average contact angle of the liquid phase in
every porous layer, i.e. catalyst layer (CL), micro-porous layer (MPL)
and gas diffusion layer (GDL).
The structure of this paper is as follows: first a description of the
model is given and the equations that account for phase change
effects are listed in detail. Then a standard case of the interdigi-
tated cell design is investigated, highlighting the different physical
effects and showing detailed distributions of important properties
such as predicted liquid saturation, relative humidity distribution,
oxygen distribution and gas and liquid phase pressure distribu-
tion. A detailed study then compares the interdigitated channel
design with the parallel channel design under specified operating
conditions with varying stoichiometric flow ratio. Advantages of
the interdigitated design include a possibility to operate at lower
stoichiometric flow ratio, a higher concentration of oxygen inside
the catalyst layer, a lesser amount of product water leaving the
cell in the liquid phase and a lower and more stable load on the
coolant. Next a second case will be investigated in detail where
more realistic material parameters are employed than in the first
case (irreducible saturation, in- and through-plane permeability,
porosity) and it is found that the micro-porous layer may help keep-
ing the gas diffusion layer substrate dryer by enforcing a higher
evaporation rate. Finally the Conclusions section will summarize
the main findings of this study.
0378-7753/$ – see front matter © 2010 Elsevier B.V. All rights reserved.
doi:10.1016/j.jpowsour.2010.02.017