Page 84 - Introduction to Transfer Phenomena in PEM Fuel Cells
P. 84

Charge Transfer Phenomena     73
                             The value (J 0_C) is  much smaller, by a  factor of 10 , than the value of
                           (J O_a), it is therefore deemed that the overpotential at the anode is negligible;
                           hence, the equation [2.69] can be written as follows:   5
                                             j
                                            
                                 η act  =  Aln                                         [2.70]
                                        ac
                                            
                                             b
                           with (A ac) expressed in (V) and characterized by the following equation:
                                 A =  A +  A c                                           [2.71]
                                        a
                                  ac
                           and (b) expressed in (mA/cm²) and characterized by the following relation:
                                         A a         A c   
                                           
                                            A 
                                     
                                      A 
                                 b =  j 0_ a  +  j 0_ c                                  [2.72]
                           a being the slope of the Tafel curve:
                                     RT
                                 A =                                                     [2.73]
                                     α nF

                             The curve in Figure 2.4  gives an example of the evolution of  voltage
                           during activation that a fuel cell can undergo.




















                                          Figure 2.4. Evolution of loss during activation
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