Browsing by Author "Dada, M.S."
Now showing 1 - 20 of 34
Results Per Page
Sort Options
Item Analysis of heat and mass transfer of an inclined magnetic field pressure-driven flow past a permeable plate(Applications and Applied Mathematics: An international Journal, 2017) Dada, M.S.; Salawu, S.O.The study considers heat and mass transfer of magnetohydrodynamics pressure-driven flow passed a stretching permeable surface in the presence of inclined uniform magnetic field. The equations governing the model are transformed by Lie’s group and solved using weighted residual method. The results obtained are compared with that of fourth order Runge-Kutta method that show the effects of Skin friction, Nusselt and Sherwood numbers on the flow. Finally, the influence of some important parameters on the flow are presented graphically and discussed.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 Diffusion-thermo and thermal-diffusion effects on Rivlin-Ericksen rotatory convective flow past a porous vertical plate(Frontiers in Heat and Mass Transfer, 2018) Dada, M.S.; Agunbiade, S.A.; Titiloye, E.O.Diffusion-thermo and thermal-diffusion effects on unsteady, incompressible Rivlin-Ericksen rotatory convective flow of a magnetic conducting electrical fluid with time dependent suction between two vertical plates of which one is permeable are investigated. The uniform angular velocity rotates about an axis normal to the plate. The equations governing the flow model are non-dimensionalised, perturbed for simplification and solved by Adomian decomposition method. Graphical illustrations of the fluid parameters on velocity, temperature, concentration are presented and discussed. The effect of skin-friction, Nusselt and Sherwood numbers are presented in tabular forms and it is discovered from the results that a rise in thermal-diffusion parameter speedup the skin-friction, while increasing diffusion-thermo parameter slowdown the skin-friction.Item DTM-Pade solution for heat transfer of hydromagnetic flow over a vertical plate(Journal of Nigerian Association of Mathematical Physics, Nigerian Association of Mathematical Physics., 2016) Idowu, A.S.; Dada, M.S.; Babalola, O.T.; Yusuf, T.A.; Are, E.B.This study deals with heat transfer of hydromagnetic flow over a vertical plate. The similarity solution is used to transform the system of partial Differential equations to ordinary non-linear Differential equations. The non-linear equations of the flow field had been solved using Differential transformation method empowered by Pade approximants which compared well with the fourth order Runge-Kutta method. The results are presented graphically and discussed. It is found that power index, variable magnetic field, prandtl and other quantities of physical interest significantly influenced the velocity and temperature profile.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 The effects of linearly varying distributed moving loads on beams with winkler foundations(Contemporary Problems in Mathematical Physics, 2008) Dada, M.S.The dynamic behaviour of a Bernoulli-Euler beam on a Winkler foundation traversed by a linearly varying distributed moving load is investigated. Using a series solution for the dynamic deflection in terms of normal modes, the equation governing the model is reduced to a set of ordinary differential equations whose solution is obtained in form of a Duhamel integral. Several numerical results are presented to illustrate these effects.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 Effects of variable thermal conductivity on radiative MHD flow in a porous medium between two vertical wavy walls(Scientia Africana, An International Journal of Pure and Applied Sciences, Faculty of Science, University of Port Harcourt, Harcourt, Nigeria., 2018) Disu, A. B.; Dada, M.S.An analysis was carried out on the effects of variable thermal conductivity on radiative MHD flow in a porous medium between two vertical wavy walls. The thermal conductivity is assumed a linear function of temperature and the fluid flow consists of two parts namely a mean and perturbed part, where the perturbed component is expressed as a complex component exponential series in terms of short wave length. The resultant governing equations were solved using Homotopy Analysis Method (HAM). The effects of the fluid parameters characterizing the velocity, temperature, fluid pressure, skin friction and Nusselt number were analysed and discussed.Item Effects of viscous dissipation on convective rotatory chemically reacting Rivlin–Ericksen flow past a porous vertical plate(Journal of Taibah University for Science, 2019) Agunbiade, S.A.; Dada, M.S.Viscous dissipation effects on an unsteady convective rotatory Rivlin–Ericksen flow of an incompressible electrically conducting fluid under time-dependence suction is considered. The entire system rotates through the angular velocity by the axis perpendicular to the plate. The governing equations comprising of continuity, momentum, energy and concentration equations were non-dimensionalized and reduced to ordinary differential equations using perturbation technique. The resultant coupled ordinary differential equations were solved using the Adomian decomposition method. The effects of various fluid parameters on velocity, temperature and concentration were presented in tabular and graphical forms. The results revealed that resultant fluid velocity is enhanced with an increase in rotation, viscoelastic and viscous dissipation parameter while an increase in chemical reaction retards both velocity and concentration distributions of the fluid.Item Heat and mass transfer effects on free convective couette dissipating fluid flow through a porous medium with slip conditions(Development Journal of Science and Technology Research, Faculty of Applied Sciences and Technology, Ibrahim Badamasi Babangida University, Laipai., 2016) Dada, M.S.; Agunbiade, S.A.; Jimoh, A.In this work, the effect of heat and mass transfer on unsteady free convective couette dissipating fluid flow with slip condition in presence of variables suction and radiative heat source are investigated. The governing equation of the model namely; continuity, momentum, energy and concentration equation are non-dimensionlised and solved using perturbation techniques. The numerical results are presented graphically and effects of material parameters have been discussed.Item Heat and mass transfer of oscillatory visco-elastic radiating hydromagnetic flow through a vertical channel with hall effects(Confluence Journal of Pure and Applied Sciences, Federal University Lokoja, Nigeria., 2017) Titiloye, E.O.; Dada, M.S.; Adeosun, A.T.Heat and mass transfer of oscillatory hydrodynamics convective Visco-elastic incompressible fluid flow in a vertical channel with Hall effects is investigated. The equations governing the problem are simplified, non-dimensionalized and solved using Differential Transform Method. The results compared well with existing literature. The effects of the salient fluid parameters are discussed and presented in tabular and graphical forms.Item Heat transfer with radiation and temperature dependent heat source in MHD free convection flow in a porous medium between two vertical wavy walls(Journal of the Nigerian Mathematical Society, Nigerian Mathematical Society., 2015) Dada, M.S.; Disu, A.B.This study was conducted to investigate the two dimensional heat transfer of a free convective MHD flow with radiation and temperature dependent heat source of viscous incompressible fluid in a porous medium between two vertical wavy walls. The flow is assumed to consist of a mean part and a perturbed part. The perturbed quantities are expressed in terms of exponential series for short wavelength. The resultant differential equations are solved by differential transform method (DTM). The numerical computations are presented graphically to show the salient features of the fluid flow and heat transfer characteristics. The skin friction and Nusselt number are also analyzed for variation of governing parameters.Item An investigation of magnetohydrodynamic Maxwell fluid flow on accelerating porous surface using Spectral Homotopy Analysis Method(Journal of Science, Technology, Mathematics and Education (JOSTMED), Federal University of Technology, Minna., 2019) Dada, M.S.; Onwubuoya, C.; Agunbiade, S.A.; Disu, A.B.This paper investigates the viscous dissipation Magnetohydrodynamic (MHD) convective flow of Maxwell fluid along a porous accelerating surface in the presence of radiation, buoyancy and heat generation. The Rosseland approximation for optically thick fluid is considered. The physical model is governed by highly nonlinear equations which were transformed using similarity variables and solution technique adopted is Spectral Homotopy Analysis Method (SHAM) which is carried out up to 5^th order of approximation. The influence of pertinent flow parameters on the velocity and temperature are presented both in tabular and graphical forms. A hike in the Eckert number gives a fall in both the velocity and temperature profiles. It is observed that a rise in the Deborah number accelerates the velocity profile but decreases the temperature profile while the magnetic field parameter produces an opposition to the flow. It is found that increasing the radiation parameter produces a significant increase in the thermal condition of the fluid temperature. The numerical results are in better agreement with the existing ones in literature.Item Lie group analysis of Soret and Dufour effects on radiative inclined magnetic pressure-driven flow past a Darcy-forchheimer medium(Journal of the Serbian Society for Computational Mechanics, 2018) Salawu, S.O.; Dada, M.S.The study examines Soret and Dufour effects on steady convective heat and mass transfer of magnetohydrodynamic (MHD) pressure-driven flow in a Darcy-forchheimer porous medium with inclined uniform magnetic field and thermal radiation. The governing partial differential equations of the model are reduced to a system of coupled non-linear ordinary differential equations by applying a Lie group of transformations. The resulting coupled differential equations are solved using weighted residual method (WRM). The results obtained are presented graphically to illustrate the influence of various fluid parameters on the dimensionless velocity, pressure drop, temperature and concentration. Finally, the effects of Skin friction, Nusselt and Sherwood numbers results are presented and discussed accordingly.Item Numerical study of unsteady free convective heat transfer in Walters-B viscoelastic flow over an inclined stretching sheet with heat source and magnetic field(The Pacific Journal of Science and Technology, 2015) Jimoh, A.; Dada, M.S.; Idowu, A.S.An investigation was carried out on the numerical study of unsteady free convective heat transfer in Walters-B viscoelastic flow over an inclined stretching sheet with heat source and magnetic field. The dimensionless governing equations are solved using an implicit finite difference method of Crank-Nicolson type. The effects of various parameters on the velocity and temperature fields as well as the coefficient of skin-friction and Nusselt number were presented graphically and in tabulated forms. It is observed that, when the heat source parameter increases, the velocity and temperature increase in the boundary layer.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 On the response of plate on winkler foundation to a moving distributed line load(ABACUS, Mathematical Association of Nigeria., 2004) Dada, M.S.; Idowu, A.S.; Titiloye, E.O.The dynamics response of a plate on winkler foundation subjected to a moving distributed line load is presented. The assumption of variable separation mode shapes method transforms the partial differential equation governing the motion of the plate, which in general is a function of x,y and t, into a function of one independent variable, The resulting equation is analyzed by a finite difference method. The results for simply supported boundary conditions are used as illustrative example. It is found that distributed moving mass problem produces the upper bound deflection, when compared with a concentrated moving mass problem.