### Abstract

The most established mathematical description of porous battery electrodes is Newman's model, which accounts for the behavior of both solid and liquid phases via concentrated solution theory and porous electrode theory. In the present work, formal volume averaging of reformulated generalized Poisson-Nernst-Planck (PNP) equations in the form of concentration and electrochemical potential, or in the form of equivalent circuit on a representative porous microstructure, lead to "upscaled" equations similar to those in Newman's model. The similarities and differences of the results from the two approaches are discussed throughout the paper.

Language | English (US) |
---|---|

Pages | 4369-4377 |

Number of pages | 9 |

Journal | Electrochimica Acta |

Volume | 56 |

Issue number | 11 |

DOIs | |

State | Published - Apr 15 2011 |

### Profile

### Keywords

- Lithium ion batteries
- Newman's model
- Poisson-Nernst-Planck
- Porous electrode
- Volume averaging

### ASJC Scopus subject areas

- Electrochemistry
- Chemical Engineering(all)

### Cite this

*Electrochimica Acta*,

*56*(11), 4369-4377. DOI: 10.1016/j.electacta.2011.01.012

**Mathematical modeling of porous battery electrodes-Revisit of Newman's model.** / Lai, Wei; Ciucci, Francesco.

Research output: Research - peer-review › Article

*Electrochimica Acta*, vol 56, no. 11, pp. 4369-4377. DOI: 10.1016/j.electacta.2011.01.012

}

TY - JOUR

T1 - Mathematical modeling of porous battery electrodes-Revisit of Newman's model

AU - Lai,Wei

AU - Ciucci,Francesco

PY - 2011/4/15

Y1 - 2011/4/15

N2 - The most established mathematical description of porous battery electrodes is Newman's model, which accounts for the behavior of both solid and liquid phases via concentrated solution theory and porous electrode theory. In the present work, formal volume averaging of reformulated generalized Poisson-Nernst-Planck (PNP) equations in the form of concentration and electrochemical potential, or in the form of equivalent circuit on a representative porous microstructure, lead to "upscaled" equations similar to those in Newman's model. The similarities and differences of the results from the two approaches are discussed throughout the paper.

AB - The most established mathematical description of porous battery electrodes is Newman's model, which accounts for the behavior of both solid and liquid phases via concentrated solution theory and porous electrode theory. In the present work, formal volume averaging of reformulated generalized Poisson-Nernst-Planck (PNP) equations in the form of concentration and electrochemical potential, or in the form of equivalent circuit on a representative porous microstructure, lead to "upscaled" equations similar to those in Newman's model. The similarities and differences of the results from the two approaches are discussed throughout the paper.

KW - Lithium ion batteries

KW - Newman's model

KW - Poisson-Nernst-Planck

KW - Porous electrode

KW - Volume averaging

UR - http://www.scopus.com/inward/record.url?scp=79954583063&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=79954583063&partnerID=8YFLogxK

U2 - 10.1016/j.electacta.2011.01.012

DO - 10.1016/j.electacta.2011.01.012

M3 - Article

VL - 56

SP - 4369

EP - 4377

JO - Electrochimica Acta

T2 - Electrochimica Acta

JF - Electrochimica Acta

SN - 0013-4686

IS - 11

ER -