Emmanuel Olurotimi Titiloye

The formulation of mathematical models using differential equations has become crucial in predicting the evolution of viral diseases in a population in order to take preventive and curative measures. In December 2019, a novel variety of Coronavirus (SARS-CoV-2) was identified in Wuhan, Hubei Province, China, which causes a severe and potentially fatal respiratory syndrome. Since then, it has been declared a pandemic by the World Health Organization and has spread around the globe. A reaction–diffusion system is a mathematical model that describes the evolution of a phenomenon subjected to two processes: a reaction process, in which different substances are transformed, and a diffusion process, which causes their distribution in space. This article provides a mathematical study of the Susceptible, Exposed, Infected, Recovered, and Vaccinated population model of the COVID-19 pandemic using the bias of reaction–diffusion equations. Both local and global asymptotic stability conditions ...

The current study focuses on the thermal stability of exothermic MHD reactive squeezed fluid flow between parallel plates. The problem’s governing nonlinear partial differential equations are transformed into dimensionless ones. The dimensionless equations obtained are highly nonlinear and are then numerically solved using the spectral collocation method (SCM). The acquired results are verified using Runge–Kutta fourth-fifth order (RK45) combined with shooting method, and a good agreement is achieved. Some graphs and tables are provided to examine the exothermic combustion process by focusing on the effects of emergent kinetic parameters such as activation energy, heat generation, and squeezed flow on the temperature profile and thermal stability of the system. It is discovered that the activation energy parameter tends to minimize the temperature profile while also improving the system’s thermal stability. However, the squeezed parameter and the heat generation rate parameter incre...

This article investigates the combined effect of second-order velocity slip, Arrhenius activation energy and binary chemical reaction on reactive Casson nanofluid flow in a non-Darcian porous medium. The governing equations of the problem were first non-dimensionalized and later reduced to ordinary nonlinear differential equations by adopting a similarity transformation. The emerging nonlinear boundary value problem was solved by using Galerkin weighted residual method (GWRM). The obtained results were compared with those found in the literature to validate our method. The impact of pertinent parameters on the velocity component, temperature distribution and concentration profile are presented using graphs and were discussed. The computational results show that an increase in second order slip parameter significantly results to an increase in the temperature as well as nanoparticle concentration profiles, while it reduces the velocity profile.

The present study concerns steady two-dimensional laminar mixed convective boundary layer Casson nanofluid flow along a stretching or shrinking sheet with multiple slip boundary conditions in a non-Darcian porous medium. The effect of viscous dissipation and non-linear radiation are considered. The governing partial differential equations, together with boundary conditions are transformed into a system of dimensionless coupled ordinary differential equations. Galerkin weighted residual method is then employed to solve the transformed coupled ordinary differential equations. The effect of various controlling parameters on dimensionless velocity, temperature, nanoparticle volume fraction, velocity gradient, temperature gradient and nanoparticle volume fraction gradient are presented graphically and discussed. The present approach is validated by comparing the result of this work and those available in the literature, and they are found to be in excellent agreement.

Abstract The current work analyzed the surface effect on the motion of Maxwell fluid with variable transport properties (viscosity, diffusivity, thermal conductivity, and electrical field) in porous, magnetized, radiative, and nonuniform (quadratic) convection processes. In this study, the flow examination modeled the motion of Maxwell fluid under MHD and variable properties influence. The flow field solutions were obtained numerically via the Spectral Collocation Approach (SCM) and justified with Galerkin Weighted Residual Method (GWRM). It was shown that the flat surface dominates the flow fields, a rise in variable viscosity diminished the fluid momentum, variable thermal conductivity and diffusivity enhance the consumption of more fluid particles, the velocity field is promoted to a hike in nonlinear Boussinesq approximation numbers, while sheet variable thickness number is aimed at downsizing the flow distributions. Moreover, the current analysis is applicable in metal spinning, polymer extrusion, machine design, architecture, aluminum aircraft skin, and structural steel beam where the extrudate materials are stretched into a sheet.