Page 137 - Introduction to Transfer Phenomena in PEM Fuel Cells
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126     Introduction to Transfer Phenomena in PEM Fuel Cells
                             Several  models reflecting the heat transfer phenomenon in a  PEMFC
                           have emerged; initial efforts have been developed by Nguyen and White
                           [NGU 93].  A PEMFC is built and  regulated in such a way that its
                           temperature is as uniform as possible to avoid creating hot spots in its core.
                           The presence of these hot spots could have adverse effects on the materials,
                           in particular on the polymer membrane. However, it is difficult to keep the
                           temperature of the cell uniform, as a temperature gradient exists between the
                           inlet and the outlet of the cooling circuit [COL 08]. This gradient could be
                           used to boost the transport of water and thus the electrical performance of
                           the battery.  Strong thermal gradients, for example, would lead to the
                           transport of strong water flows and this would limit waterlogging [BRA 06].

                             The simulation of these thermal phenomena by thermal  models is
                           therefore essential in order to be able to correctly estimate how a cell works
                           when its temperature field is not uniform.

                             Thermal  models have only recently appeared in the  literature, with the
                           exception of the article by Fuller and Newman [FUL 93] who were already
                           interested in the thermal effects in the core of fuel cells and who stress the
                           importance of coupled modeling of heat and mass transfers in the cell core to
                           correctly describe the phenomenon of water sorption in the membrane and,
                           consequently, its hydration. Nguyen and white [NGU 93] developed a two-
                           dimensional (2D) model  of a PEMFC in which they  demonstrated a one-
                           dimensional (1D) heat transfer model in the direction of flow. This model
                           considers only the phase change of the water in the flow channels as the only
                           heat source allowing convective heat transfer between the gas and the solid.
                           Fuller and Newman [FUL 93] developed a pseudo-2D thermal model with a
                           mass transfer (1D) through the membrane, and a heat transfer (1D) in the
                           direction of flow.

                             More recently, the effects of temperature on the diffusion of water in the
                           membrane have been modeled by Yan et al. [YAN 04].

                             The risks of membrane dehydration (in particular, at the anode) at high
                           operating temperatures or at high current densities were shown through
                           coupled modeling of heat and mass transfers in the membrane alone. Yi and
                           Nguyen [YI 99] used Nguyen and White’s model [NGU 93] to introduce the
                           heat due to entropy and irreversibility at the same time as the heat due to
                           phase change. This model allows the temperature of the solid phase to vary
                           in the  direction of flow only, assuming a uniform temperature in the
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