Michael E. G. Lyons
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View article: Novel analytical expression of concentrations of redox components in the new autocatalytic mechanism: The hyperbolic function method
Novel analytical expression of concentrations of redox components in the new autocatalytic mechanism: The hyperbolic function method Open
A theoretical study of the new autocatalytic mechanisms (EC″) for irreversible homogeneous reaction on diffusion layer for steady-state conditions is provided. Emerging uses for this reaction system include energy recovery from surplus hyd…
View article: Nonlinear Reaction-Diffusion and Mediated Electron Transfer Process at Conducting Polymer Modified Ultramicroelectrodes
Nonlinear Reaction-Diffusion and Mediated Electron Transfer Process at Conducting Polymer Modified Ultramicroelectrodes Open
The primary goal of this article is to present novel analytical solutions for the coupled nonlinear equation found in the mediated electron transfer process at polymer-modified conducting ultramicroelectrodes. Taylor’s series method is uti…
View article: New Analytical Expressions of Concentrations in Packed Bed Immobilized-Cell Electrochemical Photobioreactor
New Analytical Expressions of Concentrations in Packed Bed Immobilized-Cell Electrochemical Photobioreactor Open
An electrochemical photobioreactor with a packed bed containing transparent gel granules and immobilized photosynthetic bacterial cells is shown with a one-dimensional two-phase flow and transport model. We consider the biological/chemical…
View article: Theory for Electrochemical Heat Sources and Exothermic Explosions: The Akbari–Ganji Method
Theory for Electrochemical Heat Sources and Exothermic Explosions: The Akbari–Ganji Method Open
A device that transforms chemical energy into electrical energy is an electrochemical cell. The reaction type inside the cell determines whether it is exothermic or endothermic. This paper discusses the mathematical modelling of exothermic…
View article: Probing Changes in the Local Structure of Active Bimetallic Mn/Ru Oxides during Oxygen Evolution
Probing Changes in the Local Structure of Active Bimetallic Mn/Ru Oxides during Oxygen Evolution Open
Identifying the active site of catalysts for the oxygen evolution reaction (OER) is critical for the design of electrode materials that will outperform the current, expensive state-of-the-art catalyst, RuO2. Previous work shows that mixed …
View article: Theory for Electrochemical Heat Sources and Exothermic Explosions: Akbari-Ganji’s Method
Theory for Electrochemical Heat Sources and Exothermic Explosions: Akbari-Ganji’s Method Open
This paper discusses the mathematical modelling of exothermic explosions in a slab. This model is based on a nonlinear equation containing a nonlinear term related to Arrhenius, bimolecular, and sensitised laws of reaction kinetics. The ab…
View article: New Analytical Expresions of Concentrations in Packed Bed Immobilized-Cell Electrochemical Photobioreactor
New Analytical Expresions of Concentrations in Packed Bed Immobilized-Cell Electrochemical Photobioreactor Open
In this paper, Akbari-Ganji's and Taylor series methods are applied to find analytical solutions to nonlinear differential equations that arise in an immobilized-cell photobioreactor. Approximate analytical expressions for substrate a…
View article: Theoretical analysis of amperometric response towards PPO-based rotating disk bioelectrodes: Taylors series and hyperbolic function method
Theoretical analysis of amperometric response towards PPO-based rotating disk bioelectrodes: Taylors series and hyperbolic function method Open
A mathematical model for the electroenzymatic process of a rotating disk electrode in which polyphenol oxidase occurs is discussed. The model is related to a system of reaction-diffusion equations that includes a nonlinear factor relating …
View article: Modeling glucose isomerization in a packed- bed reactor: A complete theoretical and numerical approach
Modeling glucose isomerization in a packed- bed reactor: A complete theoretical and numerical approach Open
Immobilized enzymes are used in many applications in the food industry presently. Some researchers employ apparent kinetic parameters in immobilized enzyme reactor systems, which only apply to these specific case studies. To increase produ…
View article: Theoretical Analysis of Mass Transfer Behavior in Fixed-Bed Electrochemical Reactors: Akbari-Ganji’s Method
Theoretical Analysis of Mass Transfer Behavior in Fixed-Bed Electrochemical Reactors: Akbari-Ganji’s Method Open
The theoretical model for a packed porous catalytic particle of the slab, cylindrical, and spherical geometries shape in fixed-bed electrochemical reactors is discussed. These particles have internal mass concentration and temperature grad…
View article: Modelling of Irreversible Homogeneous Reaction on Finite Diffusion Layers
Modelling of Irreversible Homogeneous Reaction on Finite Diffusion Layers Open
The mathematical model proposed by Chapman and Antano (Electrochimica Acta, 56 (2010), 128–132) for the catalytic electrochemical–chemical (EC’) processes in an irreversible second-order homogeneous reaction in a microelectrode is discusse…
View article: Microbe-Based Sensor for Long-Term Detection of Urine Glucose
Microbe-Based Sensor for Long-Term Detection of Urine Glucose Open
The development of a reusable and low-cost urine glucose sensor can benefit the screening and control of diabetes mellitus. This study focused on the feasibility of employing microbial fuel cells (MFC) as a selective glucose sensor for con…
View article: Modelling of Biotrickling Filters for Treatment of NOx Analytical Expressions for the NOx Concentration in Both Gas and Biofilm Phases
Modelling of Biotrickling Filters for Treatment of NOx Analytical Expressions for the NOx Concentration in Both Gas and Biofilm Phases Open
A mathematical model of an ideal biotrickling filter (BF) system that inoculates a recently identified strain of Chelatococcus daeguensis TAD1 and brings about efficient nitrogen oxide treatment is discussed. The proposed model is based on…
View article: Modelling the Current Response and Sensitivity of Oxidase Enzyme Electrodes, Monitored Amperometrically by the Consumption of Oxygen
Modelling the Current Response and Sensitivity of Oxidase Enzyme Electrodes, Monitored Amperometrically by the Consumption of Oxygen Open
Biosensor behaviour is characterised by non-linear differential equations that describe well-defined physical, chemical, and biological processes. Mathematical modelling of these biosensors is highly desirable since they have many applicat…
View article: Mathematical Modelling of Unsteady Flow of Gas in a Semi-Infinite Porous Medium
Mathematical Modelling of Unsteady Flow of Gas in a Semi-Infinite Porous Medium Open
The research aims to find a way to solve the nonlinear problem in unsteady isothermal gas flow through a semi-infinite medium using a simple and effective method. This nonlinear equation is solved using a novel analytical technique called …