Electrochimica Acta 147 (2014) 294–309
Contents lists available at ScienceDirect
Electrochimica Acta
j our na l ho me pa g e: www.elsevier.com/locate/electacta
Analysis of non-isothermal effects on polymer electrolyte fuel cell
electrode assemblies
M. Bhaiya
a
, A. Putz
b
, M. Secanell
a,∗
a
Energy Systems Design Laboratory, Department of Mechanical Engineering, University of Alberta, Edmonton, AB, Canada
b
Automotive Fuel Cell Cooperation, Burnaby, British Columbia V5J 5J8, Canada
a r t i c l e i n f o
Article history:
Received 30 June 2014
Received in revised form 8 September 2014
Accepted 14 September 2014
Available online 19 September 2014
Keywords:
Polymer electrolyte fuel cell
Membrane electrode assembly
Non-isothermal
Open-source
Macro-homogeneous model
Sorption heat
Reversible heat
Thermal osmosis
Finite elements
a b s t r a c t
A non-isothermal, single phase membrane electrode assembly (MEA) mathematical model accounting
for most applicable heat sources, viz., reversible, irreversible, ohmic heating, phase change, heat of sorp-
tion/desorption, is presented. The mathematical model fully couples a thermal transport equation with
an MEA model and allows the study of non-isothermal effects, such as thermal osmosis through the
membrane, local relative humidity variations in the catalyst layers and water sorption into the mem-
brane. A detailed breakdown of various heat sources in the MEA at different current densities is provided
and the impact of various thermal effects previously neglected in the literature such as thermal-osmosis,
reversible heat distribution, and heat of sorption are studied. Results show that sorption heat cannot
be neglected as it contributes up to 10% of the total heat under normal operating conditions. Reversible
heat distribution can significantly affect the temperature distribution shifting the hottest location of the
cell from anode and cathode. Analyzing the water transport across the membrane, results show that
thermal-osmosis contributes up to 25% of the water flux inside the membrane at moderate and high
current densities.
© 2014 Elsevier Ltd. All rights reserved.
1. Introduction
Thermal management can significantly influence polymer elec-
trolyte fuel cell (PEFC) operation [1,2]. At high current density, the
temperature inside the fuel cell can be significantly higher than
at the end plates. In automotive applications, where high power
densities are achieved, the temperature variations in the cell might
be of the order of several degrees. Temperature influences mass,
charge and reaction rates. Reaction rates and species transport rates
improve at high temperatures. However, high temperatures also
result in: i) a reduction of the open cell potential; ii) a reduction
in local relative humidity (RH), due to the increased saturation
pressure of water, resulting in a significant decrease in membrane
hydration levels and thereby proton conduction; and iii) increased
fuel crossover through the membrane. Local hot spots might also
cause pin holes and degeneration of the membrane significantly
reducing fuel cell performance and durability.
∗
Corresponding author. University of Alberta Mechanical Engineering University
of Alberta 4-9 Mechanical Engineering Building Edmonton, Canada T6G2G8,
Tel.: +0017804926961; fax: +001780 49202200
E-mail address: secanell@ualberta.ca (M. Secanell).
Experimental results have recently shown that the tempera-
tures are not constant inside the membrane electrode assembly
(MEA) of a PEMFC [3,4]. A temperature difference of 5
◦
C or more
between the membrane-catalyst layer interface and the gas chan-
nel was observed by Vie and Kjelstrup [3], thereby showing the
limitations of the isothermal modeling assumption commonly used
in the literature [2]. Nguyen and White [5] and Fuller and Newmann
[6] first analyzed heat transfer in fuel cell MEAs. Assuming local
thermal equilibrium between the different phases in the electrode,
a single heat transfer equation was proposed. Then, an overall heat
transfer coefficient for each layer was assumed in order to predict
the heat transport inside the PEFC. In these preliminary studies,
several heat sources, such as reversible and irreversible losses asso-
ciated with the electrochemical reactions, were neglected. There
are numerous heat generation mechanisms inside the PEMFC, viz.,
reversible and irreversible heat generation due to the electrochem-
ical reactions, ohmic heating due to electron and ion transport, and
heat released/absorbed due to phase change of water. In recent
years, non-isothermal models have therefore been extended to
account for each one of these mechanisms as shown in Table 1.
Table 1 shows that, even though non-isothermal fuel cell model
in the literature account for many of the heat sources, the heat
released due to water sorption has been neglected in the major-
ity of models. Furthermore, a complete MEA model that couples
http://dx.doi.org/10.1016/j.electacta.2014.09.051
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