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

Wei Lai, Francesco Ciucci

    Research output: Contribution to journalArticle

    • 44 Citations

    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.

    Original languageEnglish (US)
    Pages (from-to)4369-4377
    Number of pages9
    JournalElectrochimica Acta
    Volume56
    Issue number11
    DOIs
    StatePublished - Apr 15 2011

    Profile

    Anthralin
    Autoradiography
    Electrodes
    Drosophila Glue Proteins
    Butylene Glycols
    Birth Certificates
    Microstructure
    Equivalent circuits
    Liquids

    Keywords

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

    ASJC Scopus subject areas

    • Electrochemistry
    • Chemical Engineering(all)

    Cite this

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

    In: Electrochimica Acta, Vol. 56, No. 11, 15.04.2011, p. 4369-4377.

    Research output: Contribution to journalArticle

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

    In: Electrochimica Acta, Vol. 56, No. 11, 15.04.2011, p. 4369-4377.

    Research output: Contribution to journalArticle

    @article{0acb8e8fde2f458ea047748f35153b19,
    title = "Mathematical modeling of porous battery electrodes-Revisit of Newman's model",
    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.",
    keywords = "Lithium ion batteries, Newman's model, Poisson-Nernst-Planck, Porous electrode, Volume averaging",
    author = "Wei Lai and Francesco Ciucci",
    year = "2011",
    month = "4",
    doi = "10.1016/j.electacta.2011.01.012",
    volume = "56",
    pages = "4369--4377",
    journal = "Electrochimica Acta",
    issn = "0013-4686",
    publisher = "Elsevier Limited",
    number = "11",

    }

    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 -