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Papers by Olasunmbo Agboola

Research paper thumbnail of Radiation and viscous dissipation effects for the Blasius and Sakiadis flows with a convective surface boundary condition

This study is devoted to investigate the radiation and viscous dissipation effects on the laminar... more This study is devoted to investigate the radiation and viscous dissipation effects on the laminar boundary layer about a flat-plate in a uniform stream of fluid (Blasius flow), and about a moving plate in a quiescent ambient fluid (Sakiadis flow) both under a convective surface boundary condition. Using a similarity variable, the governing nonlinear partial differential equations have been transformed into a set of coupled nonlinear ordinary differential equations, which are solved numerically by using shooting technique along side with the sixth order of Runge-Kutta integration scheme and the variations of dimensionless surface temperature and fluid-solid interface characteristics for different values of Prandtl number Pr, radiation parameter N R , parameter a and the Eckert number Ec, which characterizes our convection processes are graphed and tabulated. Quite different and interesting behaviours were encountered for Blasius flow compared with a Sakiadis flow. A comparison with previously published results on special cases of the problem shows excellent agreement.

Research paper thumbnail of Radiation and viscous dissipation effects for the Blasius and Sakiadis flows with a convective surface boundary condition

Research paper thumbnail of Radiation and viscous dissipation effects for the Blasius and Sakiadis flows with a convective surface boundary condition

Research paper thumbnail of On a hybrid numerical algorithm for the solutions of higher order ordinary differential equations

A hybrid Adam-Moulton type one step numerical algorithm is proposed in this paper. The numerical ... more A hybrid Adam-Moulton type one step numerical algorithm is proposed in this paper. The numerical algorithm is implemented in the block mode. Characterization of the method in terms of convergence and region of stability is given. Numerical experiments performed reveals the convergence of the method at very reasonable cost.

Research paper thumbnail of Heat and mass transfer for Soret and Dafur’s effect on mixed convection boundary layer flow over a stretching vertical surface in a porous medium filled with a viscoelastic fluid in the presence of magnetic fluid

The Global Journal of Pharmaceutical Research

Thermal-diffusion and diffusion-thermo effects on combined heat and mass transfer on mixed convec... more Thermal-diffusion and diffusion-thermo effects on combined heat and mass transfer on mixed convection boundary layer flow over a stretching vertical surface in a porous medium filled with a viscoelastic fluid in the presence of magnetic field is investigated. The partial differential equations governing the problem have been transformed by a similarity transformation into a system of ordinary differential equations which are solved numerically by using the shooting method with sixth-order of Runge-Kutta technique which are compared with Homotopy Adomian’s Decomposition Method (HAM) for special case when magnetic field parameter is zero For fluids of medium molecular weight (H2, air), profiles of the dimensionless velocity, temperature and concentration distributions are shown graphically for various values of parameters embedded in the flow model. Finally, numerical values of physical quantities, such as the local skin friction coefficient, the local Nusselt number and the local She...

Research paper thumbnail of ORIGINAL ARTICLES Dynamic Behaviour of a double Rayleigh Beam-System due to uniform partially distributed Moving Load

Journal of Applied Sciences Research

This paper deals with the dynamic behavior of a double-beam system traversed by a uniform partial... more This paper deals with the dynamic behavior of a double-beam system traversed by a uniform partially distributed moving load. The system is composed of two identical parallel homogeneous simply-supported uniform Rayleigh beams of equal lengths which are continuously connected by a viscoelastic core. The forced vibration problem is solved by the application of the finite Fourier and Laplace integral transformations. Using a numerical example, various plots of the deflections of the beams are presented and discussed for different values of the speed, rotatory inertia and fixed length of the load.

Research paper thumbnail of On Existence of Solution for Impulsive Perturbed Quantum Stochastic Differential Equations and the Associated Kurzweil Equations

Existence of solution of impulsive Lipschitzian quantum stochastic differential equations (QSDEs)... more Existence of solution of impulsive Lipschitzian quantum stochastic differential equations (QSDEs) associated with the Kurzweil equations are introduced and studied. This is accomplished within the framework of the Hudson-Parthasarathy formulation of quantum stochastic calculus and the associated Kurzweil equations. Here again, the solutions of a QSDE are functions of bounded variation, that is they have the same properties as the Kurzweil equations associated with QSDEs introduced in [1, 4]. This generalizes similar results for classical initial value problems to the noncommutative quantum setting.

Research paper thumbnail of Advances in Differential Equations and Control Processes EXISTENCE, UNIQUENESS AND STABILITY OF A MILD SOLUTION OF LIPSCHITZIAN QUANTUM STOCHASTIC DIFFERENTIAL EQUATIONS

We introduce the concept of a mild solution of Lipschitzian quantum stochastic differential equat... more We introduce the concept of a mild solution of Lipschitzian quantum stochastic differential equations (QSDEs). Results on the existence, uniqueness and stability of a mild solution of QSDEs are established. This is accomplished within the framework of the Hudson-Parthasarathy formulation of quantum stochastic calculus. Here, the results on a mild solution are weaker compared with the ones in the literature.

Research paper thumbnail of Differential Transform Technique for Higher Order Boundary Value Problems

This paper presents the approximate solution of higher order boundary value problems by different... more This paper presents the approximate solution of higher order boundary value problems by differential transform method. Two examples are considered to illustrate the efficiency of this method. The results converge rapidly to the exact solution and are shown in tables and graphs.

Research paper thumbnail of Dynamic Analysis of Damped Driven Pendulum using Laplace Transform Method

In many recent works, many researchers have demonstrated the usefulness of dynamical systems. In ... more In many recent works, many researchers have demonstrated the usefulness of dynamical systems. In this paper, a damped driven pendulum, as a dynamical system, is considered. The effects of its angular displacement and angular driven force on the dynamics of the pendulum is analyzed. The Laplace transform method is used to transform the differential equation governing the motion of the pendulum into its algebraic form and the desired results obtained. It is observed that angular displacement and angular driven force affect the motion of the pendulum. Specifically it is noted that the lower the fixed value of the angular driving force the higher the angular velocity, at various values of the angular displacement.

Research paper thumbnail of Dynamic Response of Two Viscoelastically Connected Rayleigh Beams Subjected to Concentrated Moving Load

A theory concerning the dynamic response of two identical simply supported Rayleigh beams viscoel... more A theory concerning the dynamic response of two identical simply supported Rayleigh beams viscoelastically connected together by a flexible core and traversed by a concentrated moving load is developed in this paper. The solution technique employed is based on finite Fourier and Laplace integral transformations. It is observed that the maximum amplitude of the deflection of the upper beam increases with an increase in the value of the rotatory inertia while the maximum amplitude of deflection of the lower beam decreases with increasing values of rotatory inertia.

Research paper thumbnail of Analysis of Torsional Rigidity of Circular Beams With Different Engineering Materials Subjected to St. Venant Torsion

International Journal of Impact Engineering

Many engineering structures, such as airplane wings, beams and shafts are subjected to higher tor... more Many engineering structures, such as airplane wings, beams and shafts are subjected to higher torsional forces today due to advancement in Structural Engineering, in terms of size and technology. In this paper, we analyzed the resistance of circular beams, of different engineering materials, to their corresponding twisting moments. We obtained the torsional rigidity for the different beams as the ratio of twisting moment to the angle of twist per unit length. It is observed that torsional rigidity of the beams is a function of their areas and the engineering material they are made up of. Specifically it is observed that the circular beam made up of brass engineering material has the greatest torsional rigidity among the twelve engineering materials considered.

Research paper thumbnail of Approximate solution of multipoint boundary value problems for linear differential equations by polynomial functions

Journal of Difference Equations and Applications, 2008

Research paper thumbnail of Advances in Differential Equations and Control Processes

We introduce the concept of a mild solution of Lipschitzian quantum stochastic differential equat... more We introduce the concept of a mild solution of Lipschitzian quantum stochastic differential equations (QSDEs). Results on the existence, uniqueness and stability of a mild solution of QSDEs are established. This is accomplished within the framework of the Hudson-Parthasarathy formulation of quantum stochastic calculus. Here, the results on a mild solution are weaker compared with the ones in the literature.

Research paper thumbnail of Radiation and viscous dissipation effects for the Blasius and Sakiadis flows with a convective surface boundary condition

This study is devoted to investigate the radiation and viscous dissipation effects on the laminar... more This study is devoted to investigate the radiation and viscous dissipation effects on the laminar boundary layer about a flat-plate in a uniform stream of fluid (Blasius flow), and about a moving plate in a quiescent ambient fluid (Sakiadis flow) both under a convective surface boundary condition. Using a similarity variable, the governing nonlinear partial differential equations have been transformed into a set of coupled nonlinear ordinary differential equations, which are solved numerically by using shooting technique along side with the sixth order of Runge-Kutta integration scheme and the variations of dimensionless surface temperature and fluid-solid interface characteristics for different values of Prandtl number Pr, radiation parameter N R , parameter a and the Eckert number Ec, which characterizes our convection processes are graphed and tabulated. Quite different and interesting behaviours were encountered for Blasius flow compared with a Sakiadis flow. A comparison with previously published results on special cases of the problem shows excellent agreement.

Research paper thumbnail of Radiation and viscous dissipation effects for the Blasius and Sakiadis flows with a convective surface boundary condition

Research paper thumbnail of Radiation and viscous dissipation effects for the Blasius and Sakiadis flows with a convective surface boundary condition

Research paper thumbnail of On a hybrid numerical algorithm for the solutions of higher order ordinary differential equations

A hybrid Adam-Moulton type one step numerical algorithm is proposed in this paper. The numerical ... more A hybrid Adam-Moulton type one step numerical algorithm is proposed in this paper. The numerical algorithm is implemented in the block mode. Characterization of the method in terms of convergence and region of stability is given. Numerical experiments performed reveals the convergence of the method at very reasonable cost.

Research paper thumbnail of Heat and mass transfer for Soret and Dafur’s effect on mixed convection boundary layer flow over a stretching vertical surface in a porous medium filled with a viscoelastic fluid in the presence of magnetic fluid

The Global Journal of Pharmaceutical Research

Thermal-diffusion and diffusion-thermo effects on combined heat and mass transfer on mixed convec... more Thermal-diffusion and diffusion-thermo effects on combined heat and mass transfer on mixed convection boundary layer flow over a stretching vertical surface in a porous medium filled with a viscoelastic fluid in the presence of magnetic field is investigated. The partial differential equations governing the problem have been transformed by a similarity transformation into a system of ordinary differential equations which are solved numerically by using the shooting method with sixth-order of Runge-Kutta technique which are compared with Homotopy Adomian’s Decomposition Method (HAM) for special case when magnetic field parameter is zero For fluids of medium molecular weight (H2, air), profiles of the dimensionless velocity, temperature and concentration distributions are shown graphically for various values of parameters embedded in the flow model. Finally, numerical values of physical quantities, such as the local skin friction coefficient, the local Nusselt number and the local She...

Research paper thumbnail of ORIGINAL ARTICLES Dynamic Behaviour of a double Rayleigh Beam-System due to uniform partially distributed Moving Load

Journal of Applied Sciences Research

This paper deals with the dynamic behavior of a double-beam system traversed by a uniform partial... more This paper deals with the dynamic behavior of a double-beam system traversed by a uniform partially distributed moving load. The system is composed of two identical parallel homogeneous simply-supported uniform Rayleigh beams of equal lengths which are continuously connected by a viscoelastic core. The forced vibration problem is solved by the application of the finite Fourier and Laplace integral transformations. Using a numerical example, various plots of the deflections of the beams are presented and discussed for different values of the speed, rotatory inertia and fixed length of the load.

Research paper thumbnail of On Existence of Solution for Impulsive Perturbed Quantum Stochastic Differential Equations and the Associated Kurzweil Equations

Existence of solution of impulsive Lipschitzian quantum stochastic differential equations (QSDEs)... more Existence of solution of impulsive Lipschitzian quantum stochastic differential equations (QSDEs) associated with the Kurzweil equations are introduced and studied. This is accomplished within the framework of the Hudson-Parthasarathy formulation of quantum stochastic calculus and the associated Kurzweil equations. Here again, the solutions of a QSDE are functions of bounded variation, that is they have the same properties as the Kurzweil equations associated with QSDEs introduced in [1, 4]. This generalizes similar results for classical initial value problems to the noncommutative quantum setting.

Research paper thumbnail of Advances in Differential Equations and Control Processes EXISTENCE, UNIQUENESS AND STABILITY OF A MILD SOLUTION OF LIPSCHITZIAN QUANTUM STOCHASTIC DIFFERENTIAL EQUATIONS

We introduce the concept of a mild solution of Lipschitzian quantum stochastic differential equat... more We introduce the concept of a mild solution of Lipschitzian quantum stochastic differential equations (QSDEs). Results on the existence, uniqueness and stability of a mild solution of QSDEs are established. This is accomplished within the framework of the Hudson-Parthasarathy formulation of quantum stochastic calculus. Here, the results on a mild solution are weaker compared with the ones in the literature.

Research paper thumbnail of Differential Transform Technique for Higher Order Boundary Value Problems

This paper presents the approximate solution of higher order boundary value problems by different... more This paper presents the approximate solution of higher order boundary value problems by differential transform method. Two examples are considered to illustrate the efficiency of this method. The results converge rapidly to the exact solution and are shown in tables and graphs.

Research paper thumbnail of Dynamic Analysis of Damped Driven Pendulum using Laplace Transform Method

In many recent works, many researchers have demonstrated the usefulness of dynamical systems. In ... more In many recent works, many researchers have demonstrated the usefulness of dynamical systems. In this paper, a damped driven pendulum, as a dynamical system, is considered. The effects of its angular displacement and angular driven force on the dynamics of the pendulum is analyzed. The Laplace transform method is used to transform the differential equation governing the motion of the pendulum into its algebraic form and the desired results obtained. It is observed that angular displacement and angular driven force affect the motion of the pendulum. Specifically it is noted that the lower the fixed value of the angular driving force the higher the angular velocity, at various values of the angular displacement.

Research paper thumbnail of Dynamic Response of Two Viscoelastically Connected Rayleigh Beams Subjected to Concentrated Moving Load

A theory concerning the dynamic response of two identical simply supported Rayleigh beams viscoel... more A theory concerning the dynamic response of two identical simply supported Rayleigh beams viscoelastically connected together by a flexible core and traversed by a concentrated moving load is developed in this paper. The solution technique employed is based on finite Fourier and Laplace integral transformations. It is observed that the maximum amplitude of the deflection of the upper beam increases with an increase in the value of the rotatory inertia while the maximum amplitude of deflection of the lower beam decreases with increasing values of rotatory inertia.

Research paper thumbnail of Analysis of Torsional Rigidity of Circular Beams With Different Engineering Materials Subjected to St. Venant Torsion

International Journal of Impact Engineering

Many engineering structures, such as airplane wings, beams and shafts are subjected to higher tor... more Many engineering structures, such as airplane wings, beams and shafts are subjected to higher torsional forces today due to advancement in Structural Engineering, in terms of size and technology. In this paper, we analyzed the resistance of circular beams, of different engineering materials, to their corresponding twisting moments. We obtained the torsional rigidity for the different beams as the ratio of twisting moment to the angle of twist per unit length. It is observed that torsional rigidity of the beams is a function of their areas and the engineering material they are made up of. Specifically it is observed that the circular beam made up of brass engineering material has the greatest torsional rigidity among the twelve engineering materials considered.

Research paper thumbnail of Approximate solution of multipoint boundary value problems for linear differential equations by polynomial functions

Journal of Difference Equations and Applications, 2008

Research paper thumbnail of Advances in Differential Equations and Control Processes

We introduce the concept of a mild solution of Lipschitzian quantum stochastic differential equat... more We introduce the concept of a mild solution of Lipschitzian quantum stochastic differential equations (QSDEs). Results on the existence, uniqueness and stability of a mild solution of QSDEs are established. This is accomplished within the framework of the Hudson-Parthasarathy formulation of quantum stochastic calculus. Here, the results on a mild solution are weaker compared with the ones in the literature.