%0 Conference Proceedings %T An Electrohydrodynamic Equilibrium Shape Problem for Polymer Electrolyte Membranes in Fuel Cells %+ Universität der Bundeswehr München [Neubiberg] %+ University of Ontario Institute of Technology (UOIT = Ontario Tech University ) %+ University of Ottawa [Ottawa] %A Kimmerle, Sven-Joachim %A Berg, Peter %A Novruzi, Arian %Z Part 6: Shape and Structural Optimization %< avec comité de lecture %( IFIP Advances in Information and Communication Technology %B 25th System Modeling and Optimization (CSMO) %C Berlin, Germany %Y Dietmar Hömberg %Y Fredi Tröltzsch %I Springer %3 System Modeling and Optimization %V AICT-391 %P 387-396 %8 2011-09-12 %D 2011 %R 10.1007/978-3-642-36062-6_39 %K Nernst-Planck-Poisson-Stokes system %K Free boundary problem %K Equilibrium shape %K Fluid-structure interaction %K Polymer electrolyte membrane %K Proton exchange membrane fuel cell %K Nafion %K Mechanical deformation of pores %K Ohmic interface resistance %Z Computer Science [cs]Conference papers %X We present a novel, thermodynamically consistent, model for the charged-fluid flow and the deformation of the morphology of polymer electrolyte membranes (PEM) in hydrogen fuel cells. The solid membrane is assumed to obey linear elasticity, while the pore is completely filled with protonated water, considered as a Stokes flow. The model comprises a system of partial differential equations and boundary conditions including a free boundary between liquid and solid. Our problem generalizes the well-known Nernst-Planck-Poisson-Stokes system by including mechanics. We solve the coupled non-linear equations numerically and examine the equilibrium pore shape. This computationally challenging problem is important in order to better understand material properties of PEM and, hence, the design of hydrogen fuel cells. %G English %Z TC 7 %2 https://inria.hal.science/hal-01347560/document %2 https://inria.hal.science/hal-01347560/file/978-3-642-36062-6_39_Chapter.pdf %L hal-01347560 %U https://inria.hal.science/hal-01347560 %~ IFIP %~ IFIP-AICT %~ IFIP-TC %~ IFIP-TC7 %~ IFIP-CSMO %~ IFIP-AICT-391