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Mathematical Model for the Solid Electrolyte Fuel Cell Cathode

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Journal of Applied Mechanics and Technical Physics Aims and scope

Abstract

An analytically solvable mathematical model for the cathode of a solid polymer electrolyte fuel cell is proposed. The problem of diffusion in a multicomponent air-vapor mixture in a porous cathode and water transport due to hydrodynamic and electroosmotic forces is solved. The volt-ampere characteristic of the fuel cell is determined taking into account the polarization characteristics and finite conductivity of the electrolyte. An expression is obtained for the thickness of the electrochemical-reaction zone, which gives an estimate of the catalyst efficiency. It is shown that the finiteness of the rate of oxygen diffusion into the reaction zone limits the current density and the fuel cell efficiency. A comparison of the results with available theoretical and experimental data shows that the solutions obtained for the model coincide with the solutions for the more complex Bernardi and Verbrugge model.

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REFERENCES

  1. P. Constamagna and S. Srinivasan, “Quantum jump in PENFC science and technology from 1960s to the year 2000. Parts I, II,” J. Power Sci., 102, 242–269 (2001).

    Article  Google Scholar 

  2. D. M. Bernardi and M. W. Verbrugge, “Mathematical model of gas diffusion electrode bonded to a polymer electrode,” AIChE J., 37, No.8, 1151–1163 (1991).

    Article  Google Scholar 

  3. B. Hum and X. Li, “Two-dimensional analysis of PEM fuel cell,” J. Appl. Electrochem., 34, No.2, 205–215 (2004).

    Article  Google Scholar 

  4. E. A. Ticianelli, C. R. Derouin, amd S. Srinivasan, “Localization of platinum in low catalyst loading electrodes to attain high power densities in SPE fuel cells,” J. Electroanal. Chem., 251, No.2, 275–295 (1988).

    Article  Google Scholar 

  5. D. A. Frank-Kamenetskii, Diffusion and Heat Transfer in Chemical Kinetics [in Russian], Nauka, Moscow (1967).

    Google Scholar 

  6. J. Newman, Electrochemical Systems, Prentice-Hall Inc., Englewood Cliffs, New York (1973).

    Google Scholar 

  7. R. B. Bird, W. E. Stewart, and E. N. Lightfoot, Transport Phenomena, Wiley and Son, New York (1960).

    Google Scholar 

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Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 46, No. 5, pp. 27–37, September–October, 2005.

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Nakoryakov, V.E., Gasenko, V.G. Mathematical Model for the Solid Electrolyte Fuel Cell Cathode. J Appl Mech Tech Phys 46, 635–644 (2005). https://doi.org/10.1007/s10808-005-0117-2

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  • DOI: https://doi.org/10.1007/s10808-005-0117-2

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