Impact of Asymmetries in Valences and Diffusivities on the Transport of a Binary Electrolyte in a Charged Cylindrical Pore

Henrique, Filipe; Żuk, Paweł J.; Gupta, Ankur

doi:10.2139/ssrn.4147466

Cited by 2 publications

(2 citation statements)

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“…Here, z i is the valence of the ith ion,  is the diffusivity of the ions, k B denotes the Boltzmann constant, T is temperature, and e is the charge of an electron. We assume the diffusivity of ions to be equal because varying ion diffusivities introduces new timescales in the system 70,[71][72][73] and may lead to inconsistencies in our proposed perturbation expansion, as we detail later. Our analysis can be used as a good initial approximation for systems with asymmetric diffusivities that do not contain strong acids or bases, as many ion diffusivities are within an order of magnitude of one another (roughly 10 −9 m 2 s −1 ).…”

Section: Problem Formulationmentioning

confidence: 99%

Ion Transport in an Electrochemical Cell: A Theoretical Framework to Couple Dynamics of Double Layers and Redox Reactions for Multicomponent Electrolyte Solutions

Jarvey

Henrique

Gupta

2022

J. Electrochem. Soc.

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Electrochemical devices often consist of multicomponent electrolyte solutions. Two processes influence the overall dynamics of these devices: the formation of electrical double layers and chemical conversion due to redox reactions. However, due to the presence of multiple length and time scales, it is challenging to simulate both processes directly from the Poisson-Nernst-Planck equations. Therefore, common modeling approaches ignore one of the processes, assume the two are independent, or extrapolate the results from reaction-free systems. To overcome these limitations, we formulate and derive an asymptotic model by solving the Poisson-Nernst-Planck equations for an arbitrary number of ions in the thin-double-layer limit. Our analysis reveals that there are two distinct timescales in the system: double-layer charging and bulk diffusion. Our model displays excellent quantitative agreement with direct numerical simulations. Further, our approach is computationally efficient and numerically stable, even for large potentials. We investigate the dynamics of charging for a binary electrolyte and three-ion system, and find that redox reactions impact the double-layer charging process at short times whereas they modify the double-layer capacitance at long times. Overall, the proposed theoretical framework advances our ability to simulate electrochemical devices that contain multiple ions and widens opportunities for future research in the field.

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Section: Problem Formulationmentioning

confidence: 99%

Ion Transport in an Electrochemical Cell: A Theoretical Framework to Couple Dynamics of Double Layers and Redox Reactions for Multicomponent Electrolyte Solutions

Jarvey

Henrique

Gupta

2022

J. Electrochem. Soc.

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show abstract

“…Here, z i is the valence of the i th ion, D is the diffusivity of the ions, k B denotes the Boltzmann constant, T is temperature, and e is the charge of an electron. We assume the diffusivity of ions to be equal because varying ion diffusivities introduces new timescales in the system [70][71][72][73] and may lead to inconsistencies in our proposed perturbation expansion, as we detail later.…”

Section: Problem Formulationmentioning

confidence: 99%

Ion Transport in an Electrochemical Cell: A Theoretical Framework to Couple Dynamics of Double Layers and Redox Reactions for Multicomponent Electrolyte Solutions

Jarvey¹,

Henrique²,

Gupta³

2022

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Impact of Asymmetries in Valences and Diffusivities on the Transport of a Binary Electrolyte in a Charged Cylindrical Pore

Cited by 2 publications

References 52 publications

Ion Transport in an Electrochemical Cell: A Theoretical Framework to Couple Dynamics of Double Layers and Redox Reactions for Multicomponent Electrolyte Solutions

Ion Transport in an Electrochemical Cell: A Theoretical Framework to Couple Dynamics of Double Layers and Redox Reactions for Multicomponent Electrolyte Solutions

Ion Transport in an Electrochemical Cell: A Theoretical Framework to Couple Dynamics of Double Layers and Redox Reactions for Multicomponent Electrolyte Solutions

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