Browsing by Author "Gbadeyan, J.A."
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Item The combined effects of uniform partially distributed moving mass, coriolis and centripetal forces on the response of Euler-Bernoulli beams(ICASTOR Journal of Mathematical Sciences, 2011) Gbadeyan, J.A.; Olotu, O.T.; Dada, M.S.In this paper, the dynamic response of a pinned-pinned (simply-supported) Euler-Bernoulli beam under the influence of a uniform partially distributed moving mass, whose velocity and magnitude are assumed constant, is studied. The influence of both Coriolis and centripetal forces, which are always assumed negligible, is then analyzed. The governing partial differential equation of the beam is first transformed into a set of ordinary differential equations using separation of variable technique. Next, Duhamel’s integral solution technique is adopted for analyzing the influence of the uniform partially distributed moving mass, Coriolis and centripetal forces on the dynamic response of the beam. Various numerical results, which showed the individual as well as the combined influence of the distributed moving mass, Coriolis and centripetal forces on the response of the beam, are presented. Furthermore, concluding remarks, which are useful for the purpose of structural designs, are presented.Item The dynamic response of plates on Pasternak foundation to distributed moving load(Journal of Nigerian Association of Mathematical Physics, Nigerian Association of Mathematical Physics., 2001) Gbadeyan, J.A.; Dada, M.S.The dynamics analysis of the rectangular plate resting on a Pasternak foundation and subjected to uniform partially distributed moving masses is carried out. The effect of shear deformation and rotary inertia are neglected. The governing partial differential equation is transformed into a set of coupled ordinary differential equations that are eventually solved using finite difference techniques. It is found that an increase in an area of the distribution of the moving mass causes a reduction in the maximum dynamic deflection. Various values of dynamic deflection for various value of foundation moduli are obtained and presented in tabular form. Moreover, the critical speeds of the moving masses and forces were calculated. Finally, numerical examples are given and the results compared well with existing ones for the limiting cases in which the areas of the load distribution reduces to zero, and also the effects of inertia mass neglected.Item Dynamic response of two viscoelastically connected Rayleigh beams subjected to concentrated moving load(Pacific Journal of Science and Technology, 2011) Gbadeyan, J.A.; Dada, M.S.; Olasunmbo, O.A.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.Item Effect of variable fluid properties on radiative magnetohydrodynamic flow of a fluid in a vertical channel(ABACUS, Mathematical Association of Nigeria., 1998) Gbadeyan, J.A.; Dada, M.S.The object of this paper is to analyse the effect of temperature dependent fluid’s properties on a radiative magnetohydrodynamic flow of a fluid in an open ended vertical channel and permeated by a uniform transverse magnetic field. The solution for the temperature difference velocity and induced magnetic field are obtained in an optically thin-limit case using analytical successive approximation method. It is found that an increase in viscous dissipation heat parameter, when the thermal conductivity is a function of temperature causes corresponding increase in heat transfer, temperature difference but a decrease in flow rate, velocity and induced magnetic field. Also, an increase in viscous dissipation heat parameter, when the viscosity is temperature dependent results in an increase in flow rate, heat transfer, velocity, induced magnetic field and temperature difference. The result in [2], for constant fluid parameters is obtained as a special case.Item The effect of viscous damping on the dynamic behaviour of rectangular plates resting on elastic foundation under moving loads(Journal of Institute of Mathematics & Computer Sciences, Institute of Mathematics and Computer Sciences, India., 2008) Idowu, A.s.; Titiloye, E.O.; Dada, M.S.; Gbadeyan, J.A.The effect of viscous damping on the dynamic behavior of a plate under a moving line load is studied. The problem is formulated within the framework of the classical small deflection theory of thin plates. The solution to the problem are obtained by transforming the partial differential equation for the problem to coupled ordinary differential equations which were analyzed and evaluated for simply supported boundary conditions. It is shown that the deflection profile of the plate depends on the magnitude of the damping coefficient.Item Effects of Navier slip on a steady flow of an incompressible viscous fluid confined within spirally enhanced channel(Journal of the Egyptian Mathematical Society, 2020) Gbadeyan, J.A.; Abubakar, Jos U.; Oyekunle, T.L.Investigation of the effect of slip on natural convective flow and heat transfer of a viscous incompressible fluid confined within a channel made up of a long vertical wavy wall and a parallel flat wall is carried out in this article. It is assumed that at the flat wall, there exists the slip condition. The coupled non-linear differential equations governing the fluid flow subjected to the relevant boundary conditions were perturbed and the resulting zero- and first-order set of equations were solved, using Adomian decomposition technique with the MAPLE 18 software. A comparison between the present study and an earlier one not involving a slip parameter and for which a different solution technique was used is carried out and the results are found consistent. The effects of various parameters involved in the problem viz Grashof number, slip parameter, heat source parameter, and wavelength parameter on the zero- and first-order temperature profile, velocity profile, skin friction, and Nusselt number at the walls are presented graphically and discussed quantitatively.Item Effects of partial slippage and couple stresses on entropy generation in a porous channel filled with highly porous medium(Ilorin Journal of Science. Faculty of Physical Sciences, University of Ilorin. Ilorin., 2015) Gbadeyan, J.A.; Yusuf, T.A.; Dada, M.S.; Akinremi, J.O.This work investigates the influence of slip condition and couple stresses on entropy generation rate in a steadyflow of an incompressible viscous fluid through a porous channel occupied by a highly porous medium withsuction/injection. It is assumed that the “no-slip” condition at one of the walls of the channel is no longer validfor both velocity and temperature. Also the porous medium is the non-Darcian type known as the Darcyextended Brinkman-Forchheimer model. Semi-Analytical solutions of the dimensionless momentum and energyequations are obtained using Differential transform method (DTM). The approximate solutions for velocity andtemperature are used to compute the Entropy generation rate, Bejan number and the Irreversibility distributionratio in the flow field. The variation of the velocity and temperature fields are examined for various values ofcouple stresses parameter, slip parameter, Brinkman number, entropy generation number, Darcy number,Nusselt number, skin fiction and other parameters. It is found that each of these parameters has significant effecton the velocity, temperature and Entropy generation rate profiles.Item On the dynamic response of beams subjected to non-uniform distributed moving masses(Far East Journal of Applied Mathematics, Pushpa Publishing House, India., 2008) Gbadeyan, J.A.; Dada, M.S.The dynamic analysis of a thin undamped simply supported beam traversed by a non-uniform distributed moving mass is presented. The governing equation of motion for this system is simplified using variables separation method in terms of modal shape and unknown function of time. A numerical iterative technique is then employed to determine the effect of linear distribution of the moving mass on the dynamic behaviour of the beam. Numerical results are presented in graphical forms to illustrate the dynamic behavior due to this type of moving mass. It is found that the gradient’s distribution of the moving mass significantly affects the dynamic behaviour of the beam and that a uniformly distributed moving mass problem produces a lower bound deflection for linearly distributed moving mass problem.Item Soret and Dufour effects on heat and mass transfer in chemically reacting MHD flow through a wavy channel(JOURNAL OF TAIBAH UNIVERSITY FOR SCIENCE, 2018) Gbadeyan, J.A.; Oyekunle, T.L.; Fasogbon, P.F.; Abubakar, Jos U.The problem of coupled heat and mass transfer by free convection of a chemically reacting viscous incompressible and electrically conducting fluid confined in a vertical channel bounded by wavy wall and flat wall in the presence of diffusion-thermo (Dufour), thermal-diffusion (Soret) and internal heat source or sink is studied. The walls are maintained at constant but different temperatures and species concentrations. A uniform magnetic field β_0 is acting transversely to the walls which are assumed to be electrically non-conducting. The dimensionless governing equations are perturbed into mean part (zeroth-order) and perturbed part (first-order), using amplitude as a perturbation parameter. The first-order quantities are obtained by long wave approximation. The resulting set of coupled ordinary differential equations are solved numerically using the Adomian decomposition method. Some of the results indicating the influence of various parameters on the zeroth-order and first-order fluid flow, heat and mass transfer characteristics are presented graphically.Item Steady blood flow through vascular stenosis under the influence of magnetic field(Centrepoint Journal (Science Edition), 2017) Abubakar, Jos U.; Gbadeyan, J.A.; Ojo, J.B.The influence of magnetic field on a steady blood flow through vascular stenosed artery was investigated by assuming blood to be a Newtonian fluid. The Navier-Stokes equations governing the flow through the axial directions were solved using integral momentum method. The velocity profile graphs obtained show that as magnetic field increases on the stenosis area, the velocity decreases.Item THERMAL RADIATION AND CHEMICAL REACTION EFFECTS ON FREE CONVECTIVE HEAT AND MASS TRANSFER FLOW THROUGH AN IRREGULAR CHANNEL(FUW Trends in Science & Technology Journal, 2017-04) Gbadeyan, J.A.; Oyekunle, T.L.; Abubakar, Jos U.An analysis of the effects of thermal-radiation and chemical reaction on free convective heat and mass transfer flow through an irregular (wavy) vertical channel (made up of a finitely long wavy wall at one end and a parallel flat wall at the other) with constant volumetric heat absorption/generation is carried out. The Rosseland approximation is used to describe radiative heat transfer in the limit of optically thick fluids. The non-dimensional governing equations which comprises of continuity, momentum, energy and species equations were simplified using perturbation method and hence written in terms of zeroth and first order set of coupled differential equations. The solutions of these sets of coupled differential equations were obtained for velocity, temperature, concentration and pressure drop of the fluid, using Adomian decomposition method. The expressions for the fluid variables and those of some characteristics of heat and mass transfer namely Skin friction, Nusselt number and Sherwood number obtained from fluid variables are evaluated numerically and presented graphically for various parameters involved in the problem. By carrying out comparisons with the available data in the literature, our numerical results were validated and excellent agreements were obtained. It is noticed among others, that an increase in the radiation and chemical reaction parameters leads to a decrease in the fluid velocity across the entire width of the channel. The temperature decreases with an increase in the radiation parameter, while an increase in the temperature is observed with an increase in the chemical reaction parameter.