Skip to main content
Log in

Thermal and flow analysis in a proton exchange membrane fuel cell

  • Published:
KSME International Journal Aims and scope Submit manuscript

Abstract

The effects of anode, cathode, and cooling channels for a Proton Exchange Membrane Fuel Cell (PEMFC) on flow fields have been investigated numerically. Continuous open-faced fluid flow channels formed in the surface of the bipolar plates traverse the central area of the plate surface in a plurality of passes such as a serpentine manner. The pressure distributions and velocity profiles of the hydrogen, air and water channels on bipolar plates of the PEMFC are analyzed using a two-dimensional simulation. The conservation equations of mass, momentum, and energy in the three-dimensional flow solver are modified to include electro-chemical characteristics of the fuel cell. In our three-dimensional numerical simulations, the operation of electro-chemical in Membrane Electrolyte Assembly (MEA) is assumed to be steady-state, involving multi-species. Supplied gases are consumed by chemical reaction. The distributions of oxygen and hydrogen concentration with constant humidity are calculated. The concentration of hydrogen is the highest at the center region of the active area, while the concentration of oxygen is the highest at the inlet region. The flow and thermal profiles are evaluated to determine the flow patterns of gas supplied and cooling plates for an optimal fuel cell stack design.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

Abbreviations

A :

The pre-exponential factor

\(\bar C_p \) :

Mean constant pressure specific heat [J/kg-K]

\(\bar C_p^0 \) :

Reference constant pressure specific heat [J/kg-K]

\(\bar C\) :

Mean constant volume specific heat

D m :

Molecular diffusivity [m2/s]

e :

Internal energy [W/m2]

E a :

Activation energy for the reaction

F h,j :

Diffusional thermal energy flux in directionX j [W/m2]

F m,j :

Diffusional flux component in directionX j

h :

Static enthalpy [J/kg]

K i :

Porosity [m3/m3]

H m :

Heat of formation [J/kg]

k :

Thermal conductivity [W/nvK.]

m :

Mass [kg]

m m :

Mass fraction of mixture constituent

m :

Mass flow rate [kg/s]

M :

Molecular weight

n :

Number of cell

P :

Piezometric pressure [Pa]

P e :

Total power in the stack [Watts]

Q :

Heating rate [Watts]

S m :

Mass source

Sh :

Energy source

S i :

Momentum source

T :

Temperature [K]

T o :

Reference temperature [K]

U i :

Superficial velocity [m/s]

U j :

Absolute fluid velocity [m/s]

\(\bar u_j \) :

Relative velocity in fluid local coordinate frame [m/s]

U a :

Fraction of the air usage

U h :

Fraction of the hydrogen usage

V c :

Cell voltage [V]

X j :

Cartesian coordinate frame

ρ:

Density [kg/m3]

β:

Temperature exponent

βi :

Permeability

μ:

Viscosity [N-s/m2]

τij :

Viscous stress tensor [N/m2]

ξj :

Orthotropic direction

Π:

Product of all constituents

Σ:

Summation over all mixture constituents

References

  • Baschuk, J. J. and Li Xianguo, 2000, “Modeling of Polymer Electrolyte Membrane Fuel Cells with Variable Degrees of Water Flooding,”J. Power Sources, Vol. 86, Issues 1-2, pp. 181- 196.

    Article  Google Scholar 

  • Bernardi, D.M. and Verbrugge, M. W., 1992, “A Mathematical Model of a Solid Polymer Electrolyte Fuel Cell,”J. Electrochem Soc., Vol. 139, No. 9, pp. 2477–2491.

    Article  Google Scholar 

  • Costamagna, P., 2001, “Transport Phenomena in Polymeric Membrane Fuel Cells,”Chem. Eng. Sci., Vol. 56, Issue 2, pp. 323–332.

    Article  Google Scholar 

  • Dutta, S., Shimpalee, S. and Van Zee, J. W., 2001, “Numerical Prediction of Mass-Exchange Between Cathode and Anode Channels in a PEM Fuel Cell,”J. Heat and Mass Transfer, Vol. 44, Issue 2, pp. 2029–2042.

    Article  Google Scholar 

  • EG & G Services Parsons Inc., 2000,Fuel Cell Handbook, No. DE-AM26-99FT40575.

  • Fand, R. M., Kim, B. Y. K., Lam, A. C. C. and Phan, R. T., 1987, “Resistance to the Flow of Fluid through Simple and Complex Porous Media Whose Matrices are Composed of Randomly Packed Spheres.”ASME J. Fluids Engineering, Vol. 109, pp. 268–274.

    Article  Google Scholar 

  • Fuller, T. F. and Newman, J., 1993, “Water and Thermal Management in Solid Polymer Electrolyte Fuel Cells,”J. Electrochem Soc., Vol. 140, No. 5, pp. 1218–1225.

    Article  Google Scholar 

  • Gunes, M. B., 2001, “Investigation of a Fuel Cell Based Total Energy System for Residential Application,” M. S. Mechanical Eng., Virginia Poly-technique Institute of University.

  • He, W. and Chen, Q., 1998, “Three-Dimensional Simulation of a Molten Carbonate Fuel Cell Stack under Transient Conditions,”J. of Power Sources, Vol. 55, Issue 1, pp. 25–32.

    Article  Google Scholar 

  • Jung, S. Y. and Nguyen, T. V., 1998, “An Alongthe-Channel Model for Proton Exchange Membrane Fuel Cells,”J. Electrochem. Soc., Vol. 145, pp. 1149–1159.

    Article  Google Scholar 

  • Larminie, J. and Dicks, A., 2000,Fuel Cell Systems Explained, John Wiley & Sons, Inc.

  • Lee, J. H. and Lalk, T. R., 1998, “Modeling Fuel Cell Stack Systems,”J. Power Sources, Vol. 73, Issue 2, pp. 229–241.

    Article  Google Scholar 

  • Mann, R. F., 2000, “Development and Application of a Generalized Steady-State Electrochemical Model for a PEM Fuel Cell,”J. Power Sources, Vol. 86, Issues 1-2, pp. 173–180.

    Article  Google Scholar 

  • Nguyen, T. V. and White, R. E., 1993, “A Water and Heat Management Model for Proton- Exchange Membrane Fuel Cells,”J. Electrochem. Soc., Vol. 140, No. 8, pp. 2178–2186.

    Article  Google Scholar 

  • Raznjevic, K., 1995,Handbook of Thermodynamic Tables, Begell House, Inc.

  • Singh, D., Lu, D. M. and Djilali. N., 1999, “A Two-Dimensional Analysis of Mass Transport in Proton Exchange Membrane Fuel Cell,”J. Eng. Soc., Vol. 37, pp. 431–452.

    Article  Google Scholar 

  • Springer, T. E., Zawodzinski, T. A. and Gottesfeld, S., 1991. “Polymer Electrolyte Fuel Cell Model,”J. Electrochem Soc., Vol.138, No. 8, pp. 2334–2342.

    Article  Google Scholar 

  • Standaert, F., Hemmes, K. and Woudstra, N., 1996, “Analytical Fuel Cell Modeling,”J. of Power Sources, Vol. 63, Issue 2, pp. 221–234.

    Article  Google Scholar 

  • Suares. G. E. and Hoo, K. A., 2000, “Parameter Estimation of a Proton-Exchange Membrane Fuel Cell Using Voltage-Current Data,”Chem. Eng. Soc., Vol. 55, pp. 2237–2247.

    Article  Google Scholar 

  • Tuomas Mennola, 2000, “Design and Experiment Characterization of Polymer Electrolyte Membrane Fuel Cells,”Master’s Thesis, Department of Engineering Physics and Mathematics, Helsinki University of Technology.

  • Um, S. K., Wang, C. Y. and Chen, K. S., 2000, “Computational Fluid Dynamics Modeling of Proton Exchange Membrane Fuel Cells,”J. Electrochem. Soc., Vol. 147, No. 12, pp. 4485–4493.

    Article  Google Scholar 

  • Verbrugge, M. W. and Hill, R. F., 1990, “Transport Phenomena in Perfluorosulfonic Acid Membrane during the Passage of Current,”J. Electrochem Soc., Vol. 137, pp. 1131–1138.

    Article  Google Scholar 

  • Wang, Z. H., Wang, C. Y. and Chen, K. S., 2001, “Two-Phase Flow and Transport in the Air Cathode of Proton Exchange Membrane Fuel Cells,”J. Power Sources, Vol. 94, Issue 1, pp. 1- 11.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Ja-Ye Koo.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Jung, HM., Koo, JY. Thermal and flow analysis in a proton exchange membrane fuel cell. KSME International Journal 17, 1358–1370 (2003). https://doi.org/10.1007/BF02982477

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02982477

Key Words

Navigation