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OPTIMIZATION OF A FRACTAL ELECTRODE-LEVEL CHARGE TRANSPORT MODEL

ABSTRACT
A fractal electrode-level charge transport model is established to study the effect the porous electrodes on the properties of solid oxide fuel cells. A fractal variational principle is used to obtain an approximate solution of the overpotential distribution throughout electrode thickness. Optimal design of the electrode is discussed.
KEYWORDS
PAPER SUBMITTED: 2020-03-01
PAPER REVISED: 2020-05-25
PAPER ACCEPTED: 2020-06-20
PUBLISHED ONLINE: 2021-03-27
DOI REFERENCE: https://doi.org/10.2298/TSCI200301108L
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2021, VOLUME 25, ISSUE Issue 3, PAGES [2213 - 2220]
REFERENCES
  1. Bao, C., Bessler, W. G., A Computationally Efficient Steady-State Electrode-Level and 1D+1D Cell-Level Fuel Cell Model, Journal of Power Sources, 210 (2012), 15, pp. 67-80
  2. Yilmaz, S., et al. Crystallization Kinetics of Basalt-Based Glass-Ceramics for Solid Oxide Fuel Cell Application, Journal of Thermal Analysis and Calorimetry, 134 (2018), 1, pp.291-295
  3. Khodabandeh, E., et al. The Effects of oil/MWCNT Nanofluids and Geometries on the Solid Oxide Fuel Cell Cooling Systems: A CFD Study, Journal of Thermal Analysis and Calorimetry, 144 (2020), Feb., pp. 245-256
  4. Mahadik, P. S., et al. Chemical Compatibility Study of BSCF Cathode Materials with Proton-Conducting BCY/BCZY/BZY Electrolytes, Journal of Thermal Analysis and Calorimetry, 137 (2019), 6, pp. 1857-1866
  5. Anjum, N., He, J. H., Laplace Transform: Making the Variational Iteration Method Easier, Applied Mathematics Letters, 92 (2019), Jun., pp. 134-138
  6. He, J. H., Latifizadeh, H., A General Numerical Algorithm for Nonlinear Differential Equations by the Variational Iteration Method, International Journal of Numerical Methods for Heat and Fluid Flow, 30 (2020), 11. pp. 4797-4810
  7. Shen, Y., El-Dib, Y., A Periodic Solution of the Fractional Sine-Gordon Equation Arising in Architectural Engineering, Journal of Low Frequency Noise, Vibration & Active Control, On-line first, doi.org/10.1177/1461348420917 565, 2020
  8. Yao, S. W., Cheng, Z. B., The Homotopy Perturbation Method for a Nonlinear Oscillator with a Damping, Journal of Low Frequency Noise Vibration and Active Control, 38 (2019), 3-4, pp. 1110-1112
  9. He, J. H., The Simpler, the Better: Analytical Methods for Nonlinear Oscillators and Fractional Oscillators, Journal of Low Frequency Noise Vibration and Active Control, 38 (2019), 3-4, pp. 1252-1260
  10. He, J. H., Jin, X., A Short Review on Analytical Methods for the Capillary Oscillator in a Nanoscale Deformable Tube, Mathematical Methods in the Applied Sciences, On-line first, doi.org/10. 1002/mma.6321, dx.doi.org/10.1002/mma.6321, 2020
  11. He, J. H. A Short Review on Analytical Methods for to a Fully Fourth-Order Nonlinear Integral Boundary Value Problem with Fractal Derivatives, International Journal of Numerical Methods for Heat and Fluid Flow, 30 (2020), 11, pp. 4933-4943
  12. He, J. H., Some Asymptotic Methods for Strongly Nonlinear Equations , Int. J. Mod. Phys., 20 (2006), 10, pp. 1141-1199
  13. He, J. H., A Simple Approach to 1-D Convection-Diffusion Equation and Its Fractional Modification for E Reaction Arising in Rotating Disk Electrodes, Journal of Electroanalytical Chemistry, 854 (2019), 113565
  14. Li, X. X., et al., A Fractal Modification of the Surface Coverage Model for an Electrochemical Arsenic Sensor , Electrochimica Acta, 296 (2019), 10, pp. 491-493
  15. He, J. H., Ain, Q. T., New Promises and Future Challenges of Fractal Calculus: From Two-Scale Thermodynamics to Fractal Variational Principle, Thermal Science, 24 (2020), 2A, pp. 659-681
  16. He, J. H., Thermal Science for the Real World: Reality and Challenge, Thermal Science, 24 (2020), 4, pp. 2289-2294
  17. He, J. H., Ji, F. Y., Two-Scale Mathematics and Fractional Calculus for Thermodynamics, Therm. Sci., 23 (2019), 4, pp. 2131-2133
  18. Yao, S.W., Wang, K. L., A New Approximate Analytical Method for a System of Fractional Differential Equations, Thermal Science, 23 (2019), Suppl. 3, pp. S853-S858
  19. Yao, S.W., Wang, K. L., Local Fractional Derivative: A Powerful Tool to Model the Fractal Differential Equation, Thermal Science, 23 (2019), 3, pp. 1703-1706
  20. Ji, F. Y., et al., A Fractal Boussinesq Equation for Nonlinear Transverse Vibration of a Nanofiber-Reinforced Concrete Pillar, Applied Mathematical Modelling, 82 (2020), June, pp. 437-448
  21. Li, X. J., et al. A Fractal Two-Phase Flow Model for the Fiber Motion in a Polymer Filling Process, Fractals, 28 (2020), 5, 2050093-77
  22. Shen, Y., He, J. H., Variational Principle for a Generalized KdV Equation in a Fractal Space, Fractals, 20 (2020), 4, 2050069
  23. He, J. H., A Fractal Variational Theory for 1-D Compressible Flow in a Microgravity Space, Fractals, 28 (2020), 2, 050024
  24. He, J. H., Variational Principle for the Generalized KdV-Burgers Equation with Fractal Derivatives for Shallow Water Waves, J. Appl. Comput. Mech., 6 (2020), 4, pp. 735-740
  25. He, J. H., Sun, C., A Variational Principle for a Thin Film Equation, Journal of Mathematical Chemistry., 57 (2019), 9, pp. 2075-2081
  26. He, J. H., Variational Principle and Periodic Solution of the Kundu-Mukherjee-Naskar Equation, Results in Physics, 17 (2020), June, 103031
  27. He, J. H., Mo, L. F., Variational Approach to the Finned Tube Heat Exchanger Used in Hydride Hydro-gen Storage System, International Journal of Hydrogen Energy, 38 (2013), 36, pp. 16177-16178
  28. He, J. H., An Elementary Introduction to Recently Developed Asymptotic Methods and Nanomechanics in Textile Engineering, International Journal of Modern Physics B, 22 (2008), 21, pp. 3487-3578
  29. Qin, S. T., Ge, Y., A Novel Approach to Markowitz Portfolio Model without Using Lagrange Multipliers, International Journal of Nonlinear Sciences and Numerical Simulation, 11 (2010), Special Issue, pp. 331-334

© 2024 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence