Subsections
 
Numerical simulation of Direct Methanol Fuel Cells
Collaborator: J. Fuhrmann,
K. Gärtner
Cooperation with: J. Bloch (Freie Universität Berlin (FU-FZT 86))
Supported by: DFG-Forschungszentrum ``Mathematik für 
Schlüsseltechnologien'' (Research Center ``Mathematics for Key
Technologies''
(FZT 86)),
project C1
Description:
The project has been continued with the following focuses:
  The corresponding
work is closely related to the 
pdelib2
  project. The aim is to be able to handle efficiently calculations
in the two- and three-dimensional cases. 
Fig. 1:
 Three-dimensional simulation results for an elementary cell in the
case of crossing diffusion channels.
Top: methanol concentration (mol/l), bottom: water pressure (bar) 
and proton potential (V)
| ![\makeatletter
\@DreiProjektbilderNocap[d]{0.5\textwidth}{ch3oh3d.eps}{h2o3d.eps}{hplus3d.eps}
\makeatother](img534.gif) | 
 
 
Development of tools for bifurcation analysis
In close  cooperation with project C1  of the DFG  Research Center we
started  the development of  tools for  path-following  and bifurcation
detection   for  systems  of   partial  differential   equations.  Once
available, this tool shall help to understand under which conditions a
fuel cell can have several steady states.
Currently, we are able to handle sufficiently well model problems like
the Brusselator equations.
Fig. 2:
 Bifurcation diagram of a 1D Brusselator system in dependency
of the reactor length  
|  | 
 
We have been able to present our results at the 
Computational Fuel Cell Dynamics II
workshop in  Banff, Canada,  and--jointly  with the Micro  fuel cell
group of Fraunhofer IZM Berlin--at the H2 Expo 2003 fair in Hamburg.
 References:
- J. DIVISEK, J.FUHRMANN, K. GÄRTNER,  R. JUNG, Performance
  modeling of a Direct Methanol Fuel Cell, J. Electrochem.
  Soc., 150 (2003), pp. A811-A825.
LaTeX typesetting by I. Bremer
2004-08-13