Modeling PEM fuel cell performance using the finite-element method and a fully-coupled implicit solution scheme via Newton's technique

Ken S. Chen, Michael A. Hickner

Research output: Chapter in Book/Report/Conference proceedingConference contribution

2 Citations (Scopus)

Abstract

A numerical model that employs the finite-element method and a fully-coupled implicit solution scheme via Newton's technique is presented for simulating the performance of polymer-electrolyte-membrane (PEM) fuel cells. With our model, solved are the multi-dimensional momentum, mass & species, and charge conservation equations that govern, respectively, pressure-gradient driven flows along the gas flow channels (GFCs) and within the gas diffusion layers (GDLs), species transport along GFCs and within GDLs, and proton and water transport within the membrane as well as the Butler-Volmer constitutive equations describing the hydrogen oxidation reaction (HOR) and oxygen reduction reaction (ORR). For simplicity, the present version of our model considers PEM fuel cell operation as isothermal and water present as vapor, and treats the anode and cathode catalyst layers as respective interfaces at which HOR and ORR take place. With our numerical approach, all governing equations are solved simultaneously and quadratic convergence is ensured due to the use of Newton's method with an analytical Jacobian. To demonstrate the utility of our computational approach, computed predictions of velocity field, contours of hydrodynamic pressure and molar concentrations of hydrogen, oxygen and water species, and current distribution and polarization (or I-V) curves from a two-dimensional case study of a simplified PEM fuel cell are presented. To help assess the validity of our PEM fuel cell model, measurements of current distribution and polarization curves were performed using a segmented PEM fuel cell, and the resultant experimental data as well as that from the literature are compared with computed predictions.

Original languageEnglish (US)
Title of host publicationProceedings of 4th International ASME Conference on Fuel Cell Science, Engineering and Technology, FUELCELL2006
StatePublished - Dec 1 2006
Event4th International ASME Conference on Fuel Cell Science, Engineering and Technology, FUELCELL2006 - Irvine, CA, United States
Duration: Jun 19 2006Jun 21 2006

Publication series

NameProceedings of 4th International ASME Conference on Fuel Cell Science, Engineering and Technology, FUELCELL2006
Volume2006

Other

Other4th International ASME Conference on Fuel Cell Science, Engineering and Technology, FUELCELL2006
CountryUnited States
CityIrvine, CA
Period6/19/066/21/06

Fingerprint

Proton exchange membrane fuel cells (PEMFC)
Finite element method
Diffusion in gases
Hydrogen
Oxygen
Flow of gases
Polarization
Water
Oxidation
Newton-Raphson method
Constitutive equations
Pressure gradient
Numerical models
Conservation
Momentum
Anodes
Protons
Cathodes
Hydrodynamics
Vapors

All Science Journal Classification (ASJC) codes

  • Engineering(all)

Cite this

Chen, K. S., & Hickner, M. A. (2006). Modeling PEM fuel cell performance using the finite-element method and a fully-coupled implicit solution scheme via Newton's technique. In Proceedings of 4th International ASME Conference on Fuel Cell Science, Engineering and Technology, FUELCELL2006 (Proceedings of 4th International ASME Conference on Fuel Cell Science, Engineering and Technology, FUELCELL2006; Vol. 2006).
Chen, Ken S. ; Hickner, Michael A. / Modeling PEM fuel cell performance using the finite-element method and a fully-coupled implicit solution scheme via Newton's technique. Proceedings of 4th International ASME Conference on Fuel Cell Science, Engineering and Technology, FUELCELL2006. 2006. (Proceedings of 4th International ASME Conference on Fuel Cell Science, Engineering and Technology, FUELCELL2006).
@inproceedings{ad89bace456845419390765abd1e6e86,
title = "Modeling PEM fuel cell performance using the finite-element method and a fully-coupled implicit solution scheme via Newton's technique",
abstract = "A numerical model that employs the finite-element method and a fully-coupled implicit solution scheme via Newton's technique is presented for simulating the performance of polymer-electrolyte-membrane (PEM) fuel cells. With our model, solved are the multi-dimensional momentum, mass & species, and charge conservation equations that govern, respectively, pressure-gradient driven flows along the gas flow channels (GFCs) and within the gas diffusion layers (GDLs), species transport along GFCs and within GDLs, and proton and water transport within the membrane as well as the Butler-Volmer constitutive equations describing the hydrogen oxidation reaction (HOR) and oxygen reduction reaction (ORR). For simplicity, the present version of our model considers PEM fuel cell operation as isothermal and water present as vapor, and treats the anode and cathode catalyst layers as respective interfaces at which HOR and ORR take place. With our numerical approach, all governing equations are solved simultaneously and quadratic convergence is ensured due to the use of Newton's method with an analytical Jacobian. To demonstrate the utility of our computational approach, computed predictions of velocity field, contours of hydrodynamic pressure and molar concentrations of hydrogen, oxygen and water species, and current distribution and polarization (or I-V) curves from a two-dimensional case study of a simplified PEM fuel cell are presented. To help assess the validity of our PEM fuel cell model, measurements of current distribution and polarization curves were performed using a segmented PEM fuel cell, and the resultant experimental data as well as that from the literature are compared with computed predictions.",
author = "Chen, {Ken S.} and Hickner, {Michael A.}",
year = "2006",
month = "12",
day = "1",
language = "English (US)",
isbn = "0791837807",
series = "Proceedings of 4th International ASME Conference on Fuel Cell Science, Engineering and Technology, FUELCELL2006",
booktitle = "Proceedings of 4th International ASME Conference on Fuel Cell Science, Engineering and Technology, FUELCELL2006",

}

Chen, KS & Hickner, MA 2006, Modeling PEM fuel cell performance using the finite-element method and a fully-coupled implicit solution scheme via Newton's technique. in Proceedings of 4th International ASME Conference on Fuel Cell Science, Engineering and Technology, FUELCELL2006. Proceedings of 4th International ASME Conference on Fuel Cell Science, Engineering and Technology, FUELCELL2006, vol. 2006, 4th International ASME Conference on Fuel Cell Science, Engineering and Technology, FUELCELL2006, Irvine, CA, United States, 6/19/06.

Modeling PEM fuel cell performance using the finite-element method and a fully-coupled implicit solution scheme via Newton's technique. / Chen, Ken S.; Hickner, Michael A.

Proceedings of 4th International ASME Conference on Fuel Cell Science, Engineering and Technology, FUELCELL2006. 2006. (Proceedings of 4th International ASME Conference on Fuel Cell Science, Engineering and Technology, FUELCELL2006; Vol. 2006).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

TY - GEN

T1 - Modeling PEM fuel cell performance using the finite-element method and a fully-coupled implicit solution scheme via Newton's technique

AU - Chen, Ken S.

AU - Hickner, Michael A.

PY - 2006/12/1

Y1 - 2006/12/1

N2 - A numerical model that employs the finite-element method and a fully-coupled implicit solution scheme via Newton's technique is presented for simulating the performance of polymer-electrolyte-membrane (PEM) fuel cells. With our model, solved are the multi-dimensional momentum, mass & species, and charge conservation equations that govern, respectively, pressure-gradient driven flows along the gas flow channels (GFCs) and within the gas diffusion layers (GDLs), species transport along GFCs and within GDLs, and proton and water transport within the membrane as well as the Butler-Volmer constitutive equations describing the hydrogen oxidation reaction (HOR) and oxygen reduction reaction (ORR). For simplicity, the present version of our model considers PEM fuel cell operation as isothermal and water present as vapor, and treats the anode and cathode catalyst layers as respective interfaces at which HOR and ORR take place. With our numerical approach, all governing equations are solved simultaneously and quadratic convergence is ensured due to the use of Newton's method with an analytical Jacobian. To demonstrate the utility of our computational approach, computed predictions of velocity field, contours of hydrodynamic pressure and molar concentrations of hydrogen, oxygen and water species, and current distribution and polarization (or I-V) curves from a two-dimensional case study of a simplified PEM fuel cell are presented. To help assess the validity of our PEM fuel cell model, measurements of current distribution and polarization curves were performed using a segmented PEM fuel cell, and the resultant experimental data as well as that from the literature are compared with computed predictions.

AB - A numerical model that employs the finite-element method and a fully-coupled implicit solution scheme via Newton's technique is presented for simulating the performance of polymer-electrolyte-membrane (PEM) fuel cells. With our model, solved are the multi-dimensional momentum, mass & species, and charge conservation equations that govern, respectively, pressure-gradient driven flows along the gas flow channels (GFCs) and within the gas diffusion layers (GDLs), species transport along GFCs and within GDLs, and proton and water transport within the membrane as well as the Butler-Volmer constitutive equations describing the hydrogen oxidation reaction (HOR) and oxygen reduction reaction (ORR). For simplicity, the present version of our model considers PEM fuel cell operation as isothermal and water present as vapor, and treats the anode and cathode catalyst layers as respective interfaces at which HOR and ORR take place. With our numerical approach, all governing equations are solved simultaneously and quadratic convergence is ensured due to the use of Newton's method with an analytical Jacobian. To demonstrate the utility of our computational approach, computed predictions of velocity field, contours of hydrodynamic pressure and molar concentrations of hydrogen, oxygen and water species, and current distribution and polarization (or I-V) curves from a two-dimensional case study of a simplified PEM fuel cell are presented. To help assess the validity of our PEM fuel cell model, measurements of current distribution and polarization curves were performed using a segmented PEM fuel cell, and the resultant experimental data as well as that from the literature are compared with computed predictions.

UR - http://www.scopus.com/inward/record.url?scp=33845809607&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=33845809607&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:33845809607

SN - 0791837807

SN - 9780791837801

T3 - Proceedings of 4th International ASME Conference on Fuel Cell Science, Engineering and Technology, FUELCELL2006

BT - Proceedings of 4th International ASME Conference on Fuel Cell Science, Engineering and Technology, FUELCELL2006

ER -

Chen KS, Hickner MA. Modeling PEM fuel cell performance using the finite-element method and a fully-coupled implicit solution scheme via Newton's technique. In Proceedings of 4th International ASME Conference on Fuel Cell Science, Engineering and Technology, FUELCELL2006. 2006. (Proceedings of 4th International ASME Conference on Fuel Cell Science, Engineering and Technology, FUELCELL2006).