Papers by Oluwole Daniel Makinde
Entropy, May 28, 2013
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Earthline Journal of Mathematical Sciences
Effects of thermal stratification on magnetized flow of electrically induced Maxwell nanofluid ov... more Effects of thermal stratification on magnetized flow of electrically induced Maxwell nanofluid over reactive stretching plate have been analyzed. The nonlinear ordinary differential equations governing the flow problem were obtained by applying Similarity transformation. The resulting model was then solved with the aid of the fourth order Runge-Kutta algorithm along with the shooting technique. Results for pertinent flow parameters were tabulated and analyzed graphically. The Richardson number was noted to appreciate the momentum boundary layer thickness but it decayed both the thermal and solutal boundary layer thicknesses.
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Latin American Applied Research - An international journal
In this paper, we analyze the combined effects of magnetic field, nanoparticles volume fractions,... more In this paper, we analyze the combined effects of magnetic field, nanoparticles volume fractions, variable viscosity of unsteady ferrofluid flow in a microchannel with parallel permeable walls oriented horizontally whose temperatures are held asymmetrically. Using similarity transformation process, the governing Navier-Stoke’s, energy equations and the associated initial boundary conditions (IBCs) are reduced to a set of dimensionless nonlinear partial differential equations with IBCs. The numerical method used for solving these equations is semi-discretization via centered finite difference with Runge-Kutta Fehlberg integration techniques. The effects of pertinent parameters on dimensionless fluid velocity, temperature, skin friction, Nusselt number are analyzed through graphical depiction using MAPLE software.
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Latin American Applied Research - An international journal
A steady two-phase fluid flow over a curved elongating sheet with dust particles has been scrutin... more A steady two-phase fluid flow over a curved elongating sheet with dust particles has been scrutinized. Influence of volume fraction, applied magnetic field, buoyancy-driven force on the flow over a porous medium has been studied. Using similarity transformations, multivariable functions having partial derivatives in the problem for both fluid and dust phases are transmuted into ordinary differential equations. Then, emerging non-linear differential equations are formulated numerically by employing MATLAB built-in bvp4c solver scheme. Shapes of momentum, thermal and mass boundary layers have been shown by graphical forms for various values of flow parameters. Friction factor, heat and mass transfer rates are calculated and given in tabular forms.
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Indian Journal of Pure & Applied Physics, 2017
An analysis has been carried out to study the combined effects of the magnetic field, Joule heati... more An analysis has been carried out to study the combined effects of the magnetic field, Joule heating, thermal radiation absorption, viscous dissipation, Buoyancy forces, thermal-diffusion and diffusion-thermion the convective heat and mass transfer flow of an electrically conducting fluid over a permeable vertically stretching sheet. The boundary layer equations for the fluid flow, heat and mass flux under consideration have been obtained and reduced into a system of non-linear ordinary differential equations by using appropriate similarity transformation. Using shooting method coupled with the fourth order Runge-Kutta integration scheme, the numerically solutions have been obtained and presented graphically. The effects of various embedded thermo-physical parameters on the fluid velocity, temperature, skin friction, Nusselt number and Sherwood number have been determined and discussed quantitatively. A comparison of a special case of our results with the one previously reported in t...
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Latin American Applied Research - An international journal, 2021
The combined effects of thermal radiation, buoyancy force and variable heat source on an unstead... more The combined effects of thermal radiation, buoyancy force and variable heat source on an unsteady MHD flow of a conducting fluid through a porous walled channel is theoretically investigated. Base on some simplified assumptions, the model partial differential equations are obtained and tackled analytically using variable separable technique. Numerical solutions depicting the impact of various embedded thermophysical parameters on the fluid velocity and temperature profiles, skin friction and Nusselt number are displayed graphically and quantitatively discussed. An escalation in both skin friction and heat transfer rate is observed with a rise in fluid injection–suction at the channel walls.
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Journal of Nanofluids, 2021
Heat transfer characteristics and hydrodynamical properties of ferrofluid through microchannels w... more Heat transfer characteristics and hydrodynamical properties of ferrofluid through microchannels with non-uniform permeable walls temperature and filled with porous media plays an important role in modern microfluidic applications, such as solar collectors, nuclear reactors, micro-electro-chemical cell transport, micro heat exchanging, microchip cooling, and electronic equipment. Therefore, this paper presents the investigation of ferrofluid (Fe3O4-H2O) heat transfer characteristics as well as hydrodynamical properties in a permeable microchannel with non-uniform permeable walls. The semi-discretization finite difference method is utilized to solve the highly non-linear partial differential equations that govern the momentum and energy equations. Accordingly, the numerical outcomes reveal that the ferrofluid velocity and temperature profiles indicate a rising trend as the pressure gradient parameter, the variable viscosity parameter, the Darcy number, the Eckert number, and Prandtl n...
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Latin American Applied Research - An international journal, 2020
The present paper investigates the problem of flow and heat transfer in a two dimensional boundar... more The present paper investigates the problem of flow and heat transfer in a two dimensional boundary layer flow of a nanofluid over a non-linear, permeable stretching/shrinking sheet by considering the effects of suction/blowing, momentum slip, thermal slips and thermal radiation. Three different types of spherical nanoparticles such as , and are considered by taking water as the base fluid. With the aid of suitable similarity transformations, the governing non-linear partial differential equations are transformed to ordinary ones. A new analytical method namely DTM-BF, based on the differential transformation method (DTM) and base function (BF), has been applied to get approximate analytic solutions of these equations in an unbounded domain. Comparison of the present numerical results has been done with the corresponding results available in the literature and they have been found to be in good agreement. The effects of different physical parameters on the flow and temperature prof...
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Latin American Applied Research - An international journal, 2020
In this article, the unsteady magnetohydrodynamic two-dimensional boundary layer flow and heat tr... more In this article, the unsteady magnetohydrodynamic two-dimensional boundary layer flow and heat transfer over a stretchable rotating disk with mass suction/injection is investigated. Temperature-dependent physical properties and convective boundary conditions are taken into account. The governing coupled nonlinear partial differential equations are transformed into a system of ordinary differential equations by adopting the well-known similarity transformations. Further, the solutions are obtained through the semi-analytical method called an Optimal Homotopy Analysis Method (OHAM). The obtained results are discussed graphically to predict the features of the involved key parameters which are monitoring the flow model. The skin friction coefficient and Nusselt number are also examined. The validation of the present work is verified with the earlier published results and is found to be in excellent agreement. It is noticed that an increase in the viscosity parameter leads to decay in m...
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Special Topics & Reviews in Porous Media: An International Journal, 2018
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Thermal Science, 2016
In this paper, steady 2-D MHD free convective boundary-layer flows of an electrically conducting ... more In this paper, steady 2-D MHD free convective boundary-layer flows of an electrically conducting nanofluid over a non-linear stretching sheet taking into account the chemical reaction and heat source/sink are investigated. The governing equations are transformed into a system of non-linear ODE using suitable similarity transformations. Analytical solution for the dimensionless velocity, temperature, concentration, skin friction coefficient, heat and mass transfer rates are obtained by using homotopy analysis method. The obtained results show that the flow field is substantially influenced by the presence of chemical reaction, radiation, and magnetic field.
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Alexandria Engineering Journal, 2016
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Frontiers in Heat and Mass Transfer, 2017
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Mathematical Problems in Engineering, 2008
In this article, the heat transfer characteristics of natural convection about a vertical permeab... more In this article, the heat transfer characteristics of natural convection about a vertical permeable flat surface embedded in a saturated porous medium are studied by taking into account the thermal radiation effect. The plate is assumed to have a power-law temperature distribution. Similarity variables are employed in order to transform the governing partial differential equations into a nonlinear ordinary differential equation. Both Adomian decomposition method (ADM) and He's variational iteration method (VIM) coupled with Padé approximation technique are implemented to solve the reduced system. Comparisons with previously published works are performed, and excellent agreement between the results is obtained.
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Mathematical Problems in Engineering, 2013
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Mathematical Problems in Engineering, 2013
We study natural convection from a downward pointing cone in a viscoelastic fluid embedded in a p... more We study natural convection from a downward pointing cone in a viscoelastic fluid embedded in a porous medium. The fluid properties are numerically computed for different viscoelastic, porosity, Prandtl and Eckert numbers. The governing partial differential equations are converted to a system of fourth order ordinary differential equations using the similarity transformations and then solved together by using the successive linearization method (SLM). Many studies have been carried out on natural convection from a cone but they did not consider a cone embedded in a porous medium with linear surface temperature. The results in this work are validated by the comparison with other authors.
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Mathematical Problems in Engineering, 2013
The steady stagnation-point flow and heat transfer of an electrically conducted incompressible vi... more The steady stagnation-point flow and heat transfer of an electrically conducted incompressible viscous fluid are extended to the case where the disk surface is convectively heated and radially stretching. The fluid is subjected to an external uniform magnetic field perpendicular to the plane of the disk. The governing momentum and energy balance equations give rise to nonlinear boundary value problem. Using a spectral relaxation method with a Chebyshev spectral collocation method, the numerical solutions are obtained over the entire range of the physical parameters. Emphasis has been laid to study the effects of viscous dissipation and Joule heating on the thermal boundary layer. Pertinent results on the effects of various thermophysical parameters on the velocity and temperature fields as well as local skin friction and local Nusselt number are discussed in detail and shown graphically and/or in tabular form.
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Journal of Applied Mechanics, 2013
Unsteady hydromagnetic natural convection boundary layer flow of a viscous, incompressible, and e... more Unsteady hydromagnetic natural convection boundary layer flow of a viscous, incompressible, and electrically conducting dusty fluid past an impulsively moving vertical plate with ramped temperature in the presence of thermal radiation and transverse magnetic field is studied. Exact solutions of the governing equations for fluid and particle velocities and fluid and particle temperatures are obtained in closed form by Laplace transform technique. To compare the results obtained in this case with that of an isothermal plate, exact solutions of the governing equations are also obtained for an isothermal plate. The expressions for the skin friction and Nusselt number are also derived for both ramped temperature and isothermal plates. Numerical values of fluid and particle velocities and fluid and particle temperatures are displayed graphically for various values of pertinent flow parameters for both ramped temperature and isothermal plates, whereas numerical values of skin friction and ...
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Computers & Mathematics with Applications, 2011
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Applied and Computational Mathematics, 2014
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Papers by Oluwole Daniel Makinde