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Two-Dimensional Approximate Analytical Solutions for the Anode of a Direct Methanol Fuel Cell.

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Title: Two-Dimensional Approximate Analytical Solutions for the Anode of a Direct Methanol Fuel Cell.
Authors: Sher Lin Ee1, Birgersson, Erik1 chebke@nus.cdu.sg
Source: Journal of The Electrochemical Society. 2009, Vol. 156 Issue 11, pB1329-B1338. 10p. 1 Chart, 9 Graphs.
Subjects: Methanol as fuel, Fuel cells, Electrokinetics, Ethanol as fuel, Partial differential equations
Abstract: We present the derivation of two-dimensional (2D) approximate analytical solutions for the velocities, pressure, and methanol mass fraction in the anode of a direct methanol fuel cell. These are obtained from a steady-state, liquid-phase model that considers conservation of mass, momentum, and species together with the electrokinetics. A narrow-gap approximation and scaling arguments allow for a significant reduction in the mathematical complexity; that is, the partial differential equations (PDEs) reduce to a set of ordinary differential equations and one parabolic PDE. Integration, Taylor-series expansions, homogenization, and separation of variables then allow for approximate analytical solutions. Two typical types of flow fields are considered: porous (e.g., a metallic mesh) and plain (e.g., parallel or serpentine flow channels). For the porous flow field, the 2D approximate analytical solutions can capture the three-dimensional behavior of the anode, whereas the solutions are less accurate for the latter. The analytical solutions are verified with numerical solutions of the full set of equations and validated with experiments for the porous flow field: Good agreement is found. We further highlight how the solutions can be extended to enconipass the whole cell, two-phase transport, and other types of liquid fuel cells such as the direct ethanol fuel cell. [ABSTRACT FROM AUTHOR]
Copyright of Journal of The Electrochemical Society is the property of IOP Publishing and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: Two-Dimensional Approximate Analytical Solutions for the Anode of a Direct Methanol Fuel Cell.
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  Data: <searchLink fieldCode="AR" term="%22Sher+Lin+Ee%22">Sher Lin Ee</searchLink><relatesTo>1</relatesTo><br /><searchLink fieldCode="AR" term="%22Birgersson%2C+Erik%22">Birgersson, Erik</searchLink><relatesTo>1</relatesTo><i> chebke@nus.cdu.sg</i>
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  Data: <searchLink fieldCode="JN" term="%22Journal+of+The+Electrochemical+Society%22">Journal of The Electrochemical Society</searchLink>. 2009, Vol. 156 Issue 11, pB1329-B1338. 10p. 1 Chart, 9 Graphs.
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  Data: <searchLink fieldCode="DE" term="%22Methanol+as+fuel%22">Methanol as fuel</searchLink><br /><searchLink fieldCode="DE" term="%22Fuel+cells%22">Fuel cells</searchLink><br /><searchLink fieldCode="DE" term="%22Electrokinetics%22">Electrokinetics</searchLink><br /><searchLink fieldCode="DE" term="%22Ethanol+as+fuel%22">Ethanol as fuel</searchLink><br /><searchLink fieldCode="DE" term="%22Partial+differential+equations%22">Partial differential equations</searchLink>
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  Label: Abstract
  Group: Ab
  Data: We present the derivation of two-dimensional (2D) approximate analytical solutions for the velocities, pressure, and methanol mass fraction in the anode of a direct methanol fuel cell. These are obtained from a steady-state, liquid-phase model that considers conservation of mass, momentum, and species together with the electrokinetics. A narrow-gap approximation and scaling arguments allow for a significant reduction in the mathematical complexity; that is, the partial differential equations (PDEs) reduce to a set of ordinary differential equations and one parabolic PDE. Integration, Taylor-series expansions, homogenization, and separation of variables then allow for approximate analytical solutions. Two typical types of flow fields are considered: porous (e.g., a metallic mesh) and plain (e.g., parallel or serpentine flow channels). For the porous flow field, the 2D approximate analytical solutions can capture the three-dimensional behavior of the anode, whereas the solutions are less accurate for the latter. The analytical solutions are verified with numerical solutions of the full set of equations and validated with experiments for the porous flow field: Good agreement is found. We further highlight how the solutions can be extended to enconipass the whole cell, two-phase transport, and other types of liquid fuel cells such as the direct ethanol fuel cell. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
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  Data: <i>Copyright of Journal of The Electrochemical Society is the property of IOP Publishing and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.1149/1.3211953
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      – Code: eng
        Text: English
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        PageCount: 10
        StartPage: B1329
    Subjects:
      – SubjectFull: Methanol as fuel
        Type: general
      – SubjectFull: Fuel cells
        Type: general
      – SubjectFull: Electrokinetics
        Type: general
      – SubjectFull: Ethanol as fuel
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      – SubjectFull: Partial differential equations
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