University of Ottawa and UOIT
PhD position
Title:
Mathematical modeling, analysis and computation of interfaces
between two porous domains.
Description:
Introduction:
This research project will focus on the mathematical
modeling of interfaces between two porous domains, namely between
proton exhange membranes (PEM) and catalyst layers (CL) of PEM fuel
cells. The membrane and catalyst layers are porous media consisting of
pores of random size which facilitates mass and charge transport. The
CL contains carbon particles and ionomer fibres, with gas pores
embedded in these two phases. The diffusive transport processes are
largely affected by heterogeneities of the porous medium and by the
interface between two porous domains.
Mathematical objectives: The research will deal with the mathematical modeling and analysis, and computation of interfaces between two porous domains. The model invloves a system of nonlinear PDEs (conservation laws). A typical domain consists of one or two cylinders, representing PEM and CL pores. The way the two cylinders meet minimizes a certain energy and therefore some shape optimization will be inviolved. Based on results from micro-scale models, using multi-scale methods or statistical analysis, a macro-scale model for PEM-CL interface will be derived.
This position is part of a research collaboration between University of Ottawa, UOIT and Toyota Motor Corporation.
Eligibility Requirements: A MSc (or equivalent) in Applied Mathematics is required. Applicants should have a strong background in Analysis. Any knowledge/experience with PDEs, computational methods, optimization and modeling is an asset.
Location: University of Ottawa, Ontario, Canada (with visits to UOIT)
Salary: $34 000 CAD for year 1, 2 and $22 000 CAD for year 3, 4.
Starting date: September 1st, 2009, or until it is filled.
How to apply: Interested applicants should submit (i) an AMS standard cover sheet, (ii) a CV with a publication list, (iii) a description of current research interests, and (iv) at least two letters of recommendation, by mail or email to Arian Novruzi (with cc to Peter Berg) at the addresses given below.
Deadline: Open until position is filled.
Contact:
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Peter Berg Faculty of Science University of Ontario Institute of Technology (UOIT) 2000 Simcoe Street N Oshawa, ON, L1H 7K4, Canada tel: +1 905 721 8668 ext 2457 peter.berg@uoit.ca faculty.uoit.ca/pberg/
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Arian Novruzi Department of Mathematics and Statistics, office 305E University of Ottawa 585 King Edward (KED) Ottawa, ON, K1N 6N5 Canada tel: +1 613 562 5800 ext 3530 novruzi@uottawa.ca www.mathstat.uottawa.ca/~novruzi |
Submitted on Thu, 30 Apr 2009 12:48:36 -0400 (EDT)
