Page 151 - Introduction to Transfer Phenomena in PEM Fuel Cells
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140     Introduction to Transfer Phenomena in PEM Fuel Cells
                             Yu  et al. [YU 09] assessed the design of four Multi-Pass Serpentine
                           Flow-Fields  (MPSFF) with two configurations:  coil or conventional spiral
                           for the cooling plates of  PEM fuel cells. They  used the IUT criterion to
                           compare configurations, as previously  defined by  Chen  et al. [CHE 03].
                           They compared the configurations with the maximum  surface temperature
                           and with the difference in surface temperature (maximum and minimum).
                             With regard to the geometry, they preferred symmetrical geometries to
                           reduce the number of nodes in their simulations, thereby limiting the use of
                           the same heat flow values on both sides of the cooling plate.

                             Three different uniform heat flux values are used in the simulation to
                           cover the normal operating range of the PEM fuel cell. The velocity is
                           introduced as a boundary  condition at  the entrance of the channel. Their
                           results suggest that the IUT decreases and the pressure loss increases as the
                           Reynolds number increases in the six configurations.
                             The MPSFF design is motivated by the study of Xu et al. [XU 07] for
                           flow field structures of PEM fuel cell reactants,  which is based on the
                           reforming of a single serpentine flow field, such that the pressure difference
                           between the adjacent flow channels improves the flow through the porous
                           electrode, as an interdigital flow field.

                             First, it is necessary to know the spatial distribution and the intensity of
                           the heat sources. There are three types of heat produced in a PEMFC in
                           operation: the heat due to the electrochemical reaction, the heat due to the
                           passage of the current (Joule effect) and the heat due to water phase changes
                           [COL 08].


                           4.5.1. In the polymer membrane

                             At the  membrane level, the Joule effect is caused by proton transfer
                           resistance. It should be noted that the  calculated resistance is that of the
                           membrane as a whole. The variations in conductivity in the thickness of the
                           membrane are neglected, and the heat source associated with the Joule effect
                           is uniformly distributed in its thickness. This volume density of heat flow
                                                –3
                           ( q   ), expressed in [W.m ] [RAM 09], is written as:
                             J
                                     R ⋅  j²
                                 q =   m                                                 [4.26]
                                 
                                  J
                                       e m
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