Analytical solution of the convection-diffusion equation for uniformly accessible rotating disk electrodes via the homotopy perturbation method

The mathematical problem corresponding to a one-electron reversible electron transfer at a rotating disk electrode is solved under transient and steady state conditions by using the homotopy perturbation method. Analytical solutions for the time-dependent and stationary concentration profiles, curre...

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Bibliographic Details
Published inJournal of electroanalytical chemistry (Lausanne, Switzerland) Vol. 799; pp. 175 - 180
Main Authors Jansi Rani, P.G., Kirthiga, M., Molina, Angela, Laborda, E., Rajendran, L.
Format Journal Article
LanguageEnglish
Published Amsterdam Elsevier B.V 15.08.2017
Elsevier Science Ltd
Subjects
Computer simulation
Convection-diffusion equation
Diffusion layers
Electrodes
Electron transfer
Homotopy perturbation method
Mathematical analysis
Mathematical modeling
Mathematical models
Partial differential equations
Perturbation methods
Rotating disk electrode
Rotating disks
Rotation
Schmidt number
Steady state
Time dependence
Voltammetry
Mathematical modeling
Homotopy perturbation method
Rotating disk electrode
Convection-diffusion equation
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Summary:The mathematical problem corresponding to a one-electron reversible electron transfer at a rotating disk electrode is solved under transient and steady state conditions by using the homotopy perturbation method. Analytical solutions for the time-dependent and stationary concentration profiles, current response and diffusion layer are deduced for finite values of the Schmidt number. The solutions enable us to obtain the response in chronoamperometry, normal pulse voltammetry and steady state voltammetry. The analytical results are assessed by comparison with previous analytical solutions for limiting cases as well as with numerical simulations, finding a satisfactory agreement. [Display omitted] •Rotating disk electrodes have been studied for theoretical modelling.•Analytical solutions of convection diffusion equation are discussed.•Concentration, diffusion layer and current/potential response of reversible electron transfer are discussed at an RDE.•These theoretical results are used to predict and optimize the performance of Rotating disk electrode.
ISSN:1572-6657
1873-2569
DOI:10.1016/j.jelechem.2017.05.053