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Prof. Heinz Pitsch - Institut für Regelungstechnik (IRT) der RWTH ...

Prof. Heinz Pitsch - Institut für Regelungstechnik (IRT) der RWTH ...

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Seminarankündigung<br />

im Rahmen des<br />

Son<strong>der</strong>forschungsbereich 686<br />

<strong>Prof</strong>. <strong>Heinz</strong> <strong>Pitsch</strong><br />

Center for Turbulence Research<br />

Stanford University, USA<br />

hält am<br />

Dienstag, 17. Juli 2007 um 14.00 Uhr<br />

im<br />

Seminarraum des <strong>Institut</strong>s für Technische Verbrennung<br />

Raum 221<br />

einen Vortrag zum Thema<br />

„Multi-Scale Simulation of transport and<br />

chemistry in Polymer Electrolyte Membrane<br />

Fuel Cells“


Seminarankündigung<br />

im Rahmen des<br />

Son<strong>der</strong>forschungsbereich 686<br />

<strong>Prof</strong>. <strong>Heinz</strong> <strong>Pitsch</strong><br />

Abstract<br />

Computational chemistry presently is a rapidly evolving field, because of recent improvements in<br />

computational power and theoretical developments, and the great potential of computations to further the<br />

un<strong>der</strong>standing of chemical processes and the interactions of chemistry and transport phenomena. These<br />

computational approaches include quantum chemistry simulations, molecular dynamics simulations, and<br />

dynamic Monte Carlo simulations (DMC).Here we will present the development of a computational chemistry<br />

based multi-scale model for computational fluid dynamics simulations of polymer electrolyte membrane<br />

(PEM) fuel cells. The multi-scale model is based on DMC simulations of the chemistry on the electrocatalyst<br />

surfaces. Several advancements in numerical techniques for computational chemistry simulations and their<br />

applications to real systems will be presented for the example of the PEM fuel cell cathode. Transition<br />

probabilities required for these simulations are determined from quantum chemical simulations. For<br />

electrochemical simulations, the local reaction center theory by An<strong>der</strong>son is used. We present an efficient<br />

mathematical framework to determine the potential-dependent transition states of electron transfer reactions by<br />

quantum calculations. This method leads to fast convergence, reliability, and robustness of the located<br />

transition states for more complex systems with a larger number of degrees of freedom, and makes these<br />

computations cost-efficient enough to study a large number of individual reactions. As an example, adsorbent<br />

interactions relevant for electrochemical steps of the oxygen reduction reactions are discussed. Because of the<br />

possible importance of such adsorbent interactions and other non-linear local chemical effects, DMC methods<br />

are expected to describe the chemical behavior more accurately than environment-averaged methods. In PEM<br />

fuel cells, carbon-particle supported platinum nano-particles are often used as electrocatalyst. These Ptparticles<br />

can be approximated to be of cubo-octahedral form. The specific topology of these particles can lead<br />

to important features associated with the complex surface structure. Specifically, the edge/corner sites can<br />

behave differently from sites located on the faces. Environment-averaged approaches, such as the mean-field<br />

approximation, often fail to accommodate the details of such local phenomena. DMC is computationally much<br />

more demanding than conventional approaches, and several different DMC simulations algorithms have been<br />

proposed in the past. An example is the popular Variable Step Size Method (VSSM). VSSM has the advantage<br />

that the computational cost of a single time step is independent of the lattice size for problems with timeindependent<br />

rate parameters, but scales with the square of the number of lattice sites otherwise. Another<br />

method, the First Reaction Method (FRM), can be applied for time-varying rate coefficients, but the<br />

computational cost per time step depends still linearly on the logarithm of the number of lattice sites. Here we<br />

present a new DMC algorithm that can be applied for time-varying rate coefficients, and which has a<br />

computational cost per time step that is independent of the lattice size. To demonstrate the capabilities of the<br />

new method, DMC simulations of cyclic voltammetry of PEM fuel cell electrochemistry will be presented and<br />

compared with experimental observations. Finally, the integration of the DMC simulation technology into a<br />

multi-scale model will be presented. The model describes the interaction of surface chemistry with gas<br />

diffusion in thin electrolyte layers surrounding the platinum particles on the nano-scale and the transport in the<br />

porous material of the catalyst layer on the mirco-scale. Simulation results will be compared with experimental<br />

data of a fuel cell using single crystal Pt electrodes.<br />

Gäste sind herzlich willkommen

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