Browsing by Author "Oyekunle, T.L."
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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 Nonlinear convection flow of dissipative Casson nanofluid through an inclined annular microchannel with a porous medium(Heat Transfer, 2020) Idowu, A.S.; Akolade, M.T.; Oyekunle, T.L.; Abubakar, Jos U.The nonlinear convection study on the flow of a dissipative Casson nanofluid through a porous medium of an inclined micro‐annular channel is presented. The cylindrical surfaces were conditioned to temperature increase and velocity slip effects. A uniform magnetic field strength was applied perpendicular to the cylinder surface. The heat source and Darcy number influence are explored in the examination of the blood rheological model (Casson) through the annular cylinder. Appropriate dimensionless variables are imposed on the dimensional equations encompassing Casson nanofluid rheology through an annular microchannel. The resulting systems of equations were solved and computed numerically via Chebyshev‐based collocation approach. Thus, the solutions of flow distributions, volumetric flow rate, and other flow characteristics were obtained. The result shows that both nonlinear convection parameters decrease the nanoparticle volume fraction, whereas they increase the energy and momentum distributions. Moreover, the volumetric flow rate is upsurged significantly by a wider porous medium, annular gap, a higher Casson parameter, and nonlinear convection influence.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 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.Item Unsteady free convection of magneto-hydrodynamic radiative flow past an infinite vertical porous plate in a porous medium(ICASTOR Journal of Mathematical Sciences, 2012) Dada, M.S.; Titiloye, E.O.; Oyekunle, T.L.The unsteady free convection of magneto- hydrodynamics radiative fluid flow past an infinite vertical porous plate in a porous medium under the limit of an optically thin fluid is investigated. An implicit finite difference scheme of crank- Nicolson type was employed in solving the resulting coupled non-linear partial differential equations to obtain the dimensionless velocity and temperature. Velocity and temperature fields have been studied and their profile are graphically presented while velocity gradient and Nusselt number are shown in a tabular form. It is observed, among others that the radiation parameters decreases the velocity and temperature of the field while the suction/ injection parameters lead to an increase in transient velocity and temperature of fluid. Also, a rise in the magnetic field and permeability parameters reduces the velocity significantly and temperature slightly.Item Variable Thermo-Physical and Electrical Field Influence on Nonlinear Convective Flow of non-Newtonian Fluid through an Inclined Annular Micro-Channel with Porosity(Ilorin Journal of Science, 2021) Abubakar, Jos U.; Akolade, M.T.; Oyedotun, M.F.; Oyekunle, T.L.An investigation of variable thermo-electrical field, viscosity, and thermal conductivity influence on blood rheological (Casson) fluid flow through micro annular channel subjected to suction/injection, slip, jump, and the nonlinear convective process is presented. The assumed steady, fully developed, and magnetized flow through the annular cylinder is modeled and non-dimensionalized under; Slip, jump, suction/injection conditions. Employing the Chebyshev collocation method, an approximate solution of the flow distributions is obtained. Parameters of interest indicate a declination of the flow field to a hike in variable thermal and electrical field parameters, appreciation to the risen value of viscosity parameter. Meanwhile, both momentum and energy distributions were promoted to a wider curvature radius.