By Andrei A Kulikovsky
In gasoline mobile research, the hole among basic electrochemical tactics and the engineering of gasoline mobilephone platforms is bridged by way of the actual modelling of gasoline cells. This rather new self-discipline goals to appreciate the elemental shipping and kinetic phenomena in a true phone and stack surroundings, paving the way in which for more suitable layout and function. The author brings his special approach to the analytical modeling of gasoline cells to this crucial reference for power technologists. Covers contemporary advances and analytical ideas to a variety of difficulties confronted by means of strength technologists, from catalyst layer functionality to thermal balance presents specific graphs, charts and different instruments (glossary, index) to maximise R&D output whereas minimizing expenses and time spent on dead-end researchPresents Kulikovsky's signature process (and the information to help it)-which makes use of "simplified" types in accordance with idealized platforms, uncomplicated geometries, and minimum assumptions-enabling qualitative realizing of the motives and results of phenomena
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Additional info for Analytical Modelling of Fuel Cells
Note that ∂ ˜j/∂ x ˜ < 0 and hence we took a negative value for the square root in Eq. 40). 52) where we introduced the dimensionless rate of electrochemical conversion ˜ Q: ˜ η) ˜ ≡ − ∂ j = φ(˜ Q . 54) where β= ˜ 0 − ˜j 2 . 54) in Eq. 38) we get η˜: η˜ = arcsinh β 2 ε2 2 1 + tan2 β (1 − x ˜) 2 . 3 for two values of The shapes ˜j(˜ x), η˜(˜ x) and Q(˜ parameter β and ε = 1. This figure shows the physical origin of the Tafel slope doubling in the high-current regime (see the next page). Poor proton transport induces a 50 CHAPTER 2.
Qualitatively, at x ˜ = 1 oxygen concentration is high and large η˜(1) maximizes the reaction rate at this point. However, high η˜(1) shifts the whole curve η˜(˜ x) upward, since the derivative ∂ η˜/∂ x ˜ = −j must be negative. 8. These figures display an important feature of CCL performance. 58 CHAPTER 2. 8). 7). 8). In dimension variables Eq. 79) takes the form D∗ = j 0 lt . 8). Higher diffusivity means higher CCL porosity, which is usually achieved at the cost of lower Nafion content and thus of lower proton conductivity.
The nonuniform conversion of proton current is costly in terms of η˜. The high-current polarization curve of the CCL follows from Eq. 54). 54) we find β 2 . 57) π. Taking into account the expression for ˜ 2 − ˜j 2 = π 2 . 2Q 0 0 Neglecting π 2 as compared to ˜j02 we come to ˜0. 53) we obtain ε2 ˜j02 = 2φ(˜ η0 ). 9) and we finally find η˜0 = 2 ln ε˜j0 . 60) is the characteristic current density2 . 19) was performed. The factor on the right side of Eq. 59) is 2b instead of b. 59) exhibits the effect of apparent Tafel slope doubling discussed above.
Analytical Modelling of Fuel Cells by Andrei A Kulikovsky