Direct Methanol Fuel Cell (DMFC) Performance

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Direct Methanol Fuel Cell (DMFC) Performance ( direct-methanol-fuel-cell-dmfc-performance )

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VI. Reaction Network Theory applied to the electro-chemical oxidation of methanol Several mathematical models have been developed for methanol electro-oxidation. They use an oversimplified mechanism for the reaction considering only one or two intermediate species. However, the real mechanism is much more complicated and most steps remain unknown. 1. Reaction Network Theory The new graph-theoretical approach developed by Fishtik et al [21] was used in an effort to improve our understanding of methanol electro-oxidation reaction and its mechanism. This approach is based on Reaction Route Graphs which depict all possible succession of reactions (Reaction Route) that lead to the studied overall reaction. It should be noted that in this case, the nodes do not represent a particular species. The drawing of this type of graph implies the knowledge of the complete mechanism or at least an assumption since every branch corresponds to a step in the mechanism. An analogy can be made between these graphs and electrical networks. Besides, the concept of reaction resistance was introduced [22]. This allows the use of both Kirchhoff’s and Ohm’s law in order to analyze and reduce the network. The reaction resistance is defined as the mean value of the reciprocal rate (similar to a conductance) between the reverse and forward rate. →  lnrP←  R=1=rP Pr→← P rP−rP To calculate the resistance one needs an expression for the forward and reverse reaction rate of elementary step. Assuming that rate constants follow Arrhenius law, activation energies and pre-exponential factors can be calculated from a thermodynamic transition state model. By evaluating and comparing the resistances along parallel - 84 -

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