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Chronoamperometric response of electrochemical reaction diffusion system: a new theoretical and numerical investigation for EC2 scheme

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Abstract

This paper introduces a novel mathematical model for chronoamperometric analysis of electrochemical reactions in the EC2 scheme. Utilizing the homotopy perturbation method, we address the highly nonlinear reaction–diffusion equations, even under non-steady state conditions. We offer an approximate analytical expression for species O and R concentrations, along with sensitivity analysis on diffusion and kinetic parameters. Results under steady state conditions validate our model against prior findings. Additionally, we provide a numerical solution using Matlab and Maple software, demonstrating satisfactory agreement with experimental data.

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Abbreviations

\(A\) :

Electrode surface area

\(a_{k}^{\infty }\) :

Coefficient of the series

\(c_{O} (r,t)\) :

Concentration of species \(O\)

\(c_{R} (x,t)\) :

Concentration of species \(R\)

\(c^{o}\) :

Initial/ bulk concentration of species \(O\)

\(D_{O}\) :

Diffusion coefficient of species \(O\)

\(D_{R}\) :

Diffusion coefficient of species \(R\)

\(D\) :

Common diffusion coefficient of species \(O\) and \(R.\)

\(x\) :

Distance from electrode surface

\(\tau\) :

Dimensionless time

\(i\) :

Current (A)

N:

Number of electrons

F:

Faraday constant, charge on one mole of electrons

\(I\) :

Dimensional Faradaic CA current

\(R\) :

Gas constant

\(t\) :

Time

\(T\) :

Absolute temperature

\(\psi\) :

Dimensionless current

\(s\) :

Laplace variable

erfc (.):

Complementary error function

\(k\) :

Rate constant of reaction

\(\Theta\) :

Parameter

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Authors and Affiliations

  1. Department of PS and IT, AEC and RI, TNAU, Coimbatore, India

    A. Eswari

  2. Department of Mathematics, SRIT, Coimbatore, Tamil Nadu, India

    S. Saravana kumar

Authors
  1. A. Eswari
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  2. S. Saravana kumar
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Correspondence to A. Eswari.

Appendix 1

Appendix 1

Matlab program for the numerical solution of nonlinear differential Eqs. (12–20)

figure a

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Eswari, A., kumar, S.S. Chronoamperometric response of electrochemical reaction diffusion system: a new theoretical and numerical investigation for EC2 scheme. J IRAN CHEM SOC (2024). https://doi.org/10.1007/s13738-024-03063-1

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