Theoretical Analysis of Voltammetry at a Rotating Disk Electrode in the Absence of Supporting Electrolyte

Saravanakumar, R.; Pirabaharan, P.; Abukhaled, Marwan; Rajendran, L.

doi:10.1021/acs.jpcb.9b07191

Cited by 27 publications

(6 citation statements)

References 25 publications

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“…A variety of analytical techniques have been explored in recent years to solve nonlinear differential equations, including Rajendran–Joy, homotopy perturbation, ,− Akbari-Ganji, , Adomian decomposition, Pade approximation technique, , Taylor’s series, hyperbolic function, and Laplace techniques. , Recently, the Rajendran–Joy method has been used to solve the nonlinear equations in homogeneous catalysis of electrochemical reactions. This method applies to the boundary conditions for finite and semi-infinite domains.…”

Section: Phenomenological Analysis Of the Boundary Value Problem Pert...mentioning

confidence: 99%

Homogeneous Catalysis of Electrochemical Reactions: The Steady-State Current and Turnover Frequency

Manimegalai¹,

Swaminathan²,

Lyons

et al. 2023

J. Phys. Chem. C

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A theoretical model for homogeneous catalysis for oxidation and reduction processes is presented. This model is described by a system of nonlinear differential equations, in which the nonlinear term is related to the one-electron, one-step homogeneous reactions. The system of nonlinear equations in steady-state voltammetry at a slow scan rate is solved using a new analytical method known as the Rajendran−Joy method. The concentration of species, current−voltage, and turnover frequency curves have been obtained in simple and closed forms. The effects of two rate constants and two bulk concentrations of species on the current and turnover frequency are explored. There is a good agreement when our approximate analytical results are compared to numerical (MATLAB) results. The sensitivity analysis of the parameters on the current−voltage curve was also provided.

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Section: Phenomenological Analysis Of the Boundary Value Problem Pert...mentioning

confidence: 99%

Homogeneous Catalysis of Electrochemical Reactions: The Steady-State Current and Turnover Frequency

Manimegalai¹,

Swaminathan²,

Lyons

et al. 2023

J. Phys. Chem. C

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“…107,108 Rotating disc and cylinder electrode reactors.-Rotating disc electrodes (RDEs) are staples in electrochemical laboratories thanks to their well-defined and reproducible electrolyte flow and mass transport profiles, with the transport rate being proportional to the square root of the rotation rate. 109,110 An extension to this design is the rotating ring disc electrode (RRDE), which has a secondary ring electrode on the outside of the central disc. Electroactive species produced at the disc are detected at the ring, allowing in situ quantification of electrochemically generated products.…”

Section: Examples Of Reactor Designs and Their Performancementioning

confidence: 99%

Review—The Design, Performance and Continuing Development of Electrochemical Reactors for Clean Electrosynthesis

Perry

León

Walsh

2020

J. Electrochem. Soc.

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A critical review of classical and improved electrodes, electrocatalysts and reactors is provided. The principles governing the selection of electrochemical flow reactor or progression of a particular design for laboratory or pilot scale are reviewed integrating the principles of electrochemistry and electrochemical engineering with practical aspects. The required performance, ease of assembly, maintenance schedule and scale-up plans must be incorporated. Reactor designs can be enhanced by decorating their surfaces with nanostructured electrocatalysts. The simple parallel plate geometry design, often in modular, filter-press format, occupies a prominent position, both in the laboratory and in industry and may incorporates porous, 3D or structured electrode surfaces and bipolar electrical connections considering the reaction environment, especially potential- and current-distributions, uniformity of flow, mass transport rates, electrode activity, side reactions and current leakage. Specialised electrode geometries include capillary gap and thin film cells, rotating cylinder electrodes, 3-D porous electrodes, fluidised bed electrodes and bipolar trickle tower reactors. Applications span inorganic, organic electrosynthesis and environmental remediation. Recent developments in cell design: 3D printing, nanostructured, templating 3D porous electrodes, microchannel flow, combinatorial electrocatalyst studies, bioelectrodes and computational modelling. Figures of merit describing electrochemical reactor performance and their use are illustrated. Future research and development needs are suggested.

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“…Over the past two decades, HPM has been employed by many researchers to obtain approximate analytical solutions for many nonlinear engineering dynamical systems [7,18]. In this section, a modified homotopy perturbation method [23,28] is employed to obtain an analytical solution of the MHD free convective flow past an inclined plate under a steady state condition. The basic idea of the HPM is described in Appendix A.…”

Section: Derivation Of Analytical Expressionmentioning

confidence: 99%

Analytical Discussion and Sensitivity Analysis of Parameters of Magnetohydrodynamic Free Convective Flow in an Inclined Plate

Suganya

Balaganesan

Rajendran

et al. 2020

Eur. J. Pure Appl. Math.

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A mathematical model of the magnetohydrodynamic free convective flow of a viscous incompressible fluid, which is based on a system of coupled steady-state nonlinear deferential equations, is discussed. A new approach of the homotopy perturbation method is employed to derive analytical expressions of the fluid velocity, fluid temperature, and species concentration. The effciency and accuracy of the derived results are tested against highly accurate and widely used numerical methods. The obtained analytical expressions are employed to study the effects of the magnetic field, chemical reaction, and other relevant flow parameters on fluid velocity, fluid temperature, and species concentration. Sensitivity analysis of these parameters is also presented.

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Theoretical Analysis of Voltammetry at a Rotating Disk Electrode in the Absence of Supporting Electrolyte

Cited by 27 publications

References 25 publications

Homogeneous Catalysis of Electrochemical Reactions: The Steady-State Current and Turnover Frequency

Homogeneous Catalysis of Electrochemical Reactions: The Steady-State Current and Turnover Frequency

Review—The Design, Performance and Continuing Development of Electrochemical Reactors for Clean Electrosynthesis

Analytical Discussion and Sensitivity Analysis of Parameters of Magnetohydrodynamic Free Convective Flow in an Inclined Plate

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