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Search Results: 1 - 10 of 288278 matches for " O. D. Makinde "
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Computational Modelling of Thermal Stability in a Reactive Slab with Reactant Consumption
O. D. Makinde
Abstract and Applied Analysis , 2012, DOI: 10.1155/2012/239052
Abstract: This paper investigates both the transient and the steady state of a one-step nth-order oxidation exothermic reaction in a slab of combustible material with an insulated lower surface and an isothermal upper surface, taking into consideration reactant consumption. The nonlinear partial differential equation governing the transient reaction-diffusion problem is solved numerically using a semidiscretization finite difference technique. The steady-state problem is solved using a perturbation technique together with a special type of the Hermite-Padé approximants. Graphical results are presented and discussed quantitatively with respect to various embedded parameters controlling the systems. The crucial roles played by the boundary conditions in determining the thermal ignition criticality are demonstrated.
On MHD mixed convection with soret and dufour effects past a vertical plate embedded in a porous medium
Makinde,O. D.;
Latin American applied research , 2011,
Abstract: the paper studies the mixed convection flow of an incompressible boussinesq fluid under the simultaneous action of buoyancy and transverse magnetic field with soret and dufour effects over a vertical porous plate with constant heat flux embedded in a porous medium. under suitable nondimensionalization, the governing non-linear coupled differential equations are solved numerically using shooting quadrature. tabular and graphical results are presented and discussed quantitatively. results obtained which compare favourably well with published data show that the local skin friction is enhanced by the sorets and dufour effects.
Computational modelling of MHD unsteady flow and heat transfer toward a flat plate with Navier slip and Newtonian heating
Makinde, O. D.;
Brazilian Journal of Chemical Engineering , 2012, DOI: 10.1590/S0104-66322012000100017
Abstract: the combined effects of navier slip and newtonian heating on an unsteady hydromagnetic boundary layer stagnation point flow towards a flat plate in the presence of a magnetic field are studied. the self-similar equations are obtained using similarity transformations and solved numerically by a shooting algorithm with a runge-kutta fehlberg integration scheme. the velocity profiles, temperature profiles, the local skin friction coefficient, and the local nusselt number are computed and discussed in details for various values of the different parameters. numerical results are presented both in tabular and graphical forms, illustrating the effects of these parameters on the thermal and concentration boundary layers. it is revealed that the thermal boundary layer thickens with a rise in the flow unsteadiness and as newtonian heating intensifies, while the local skin friction and the rate of heat transfer at the plate surface change significantly due to the slip parameter.
On MHD mixed convection with soret and dufour effects past a vertical plate embedded in a porous medium
O. D. Makinde
Latin American applied research , 2011,
Abstract: The paper studies the mixed convection flow of an incompressible Boussinesq fluid under the simultaneous action of buoyancy and transverse magnetic field with Soret and Dufour effects over a vertical porous plate with constant heat flux embedded in a porous medium. Under suitable nondimensionalization, the governing non-linear coupled differential equations are solved numerically using shooting quadrature. Tabular and graphical results are presented and discussed quantitatively. Results obtained which compare favourably well with published data show that the local skin friction is enhanced by the Sorets and Dufour effects.
On the Boundary Layer Flow over a Moving Surface in a Fluid with Temperature-Dependent Viscosity  [PDF]
E. W. Mureithi, J. J. Mwaonanji, O. D. Makinde
Open Journal of Fluid Dynamics (OJFD) , 2013, DOI: 10.4236/ojfd.2013.32017
Abstract:  This paper examines a boundary layer flow over a continuously moving heated flat surface with velocity\"\"  in a streaming flow with velocity\"\"  and with temperature dependent viscosity\"\". The momentum and the energy equations are coupled through the viscous dissipation term. The coupled boundary layer equations are transformed into a self-similar form using an appropriate similarity variable. An efficient numerical technique is used to solve the self-similar boundary layer equations. It is shown that at low enough values for the velocity ratio\"\" , an increase in viscous dissipation enhances greatly the local heat transfer leading to temperature overshoots adjacent to the wall. The viscosity variation parameter is shown to have significant effects on the temperature dependent viscosity and the velocity and temperature distribution within the boundary layer.

Analysis of Nonlinear Dispersion of a Pollutant Ejected by an External Source into a Channel Flow
T. Chinyoka,O. D. Makinde
Mathematical Problems in Engineering , 2010, DOI: 10.1155/2010/827363
Abstract: This paper focuses on the transient analysis of nonlinear dispersion of a pollutant ejected by an external source into a laminar flow of an incompressible fluid in a channel. The influence of density variation with pollutant concentration is approximated according to the Boussinesq approximation, and the nonlinear governing equations of momentum and pollutant concentration are obtained. The problem is solved numerically using a semi-implicit finite difference method. Solutions are presented in graphical form and given in terms of fluid velocity, pollutant concentration, skin friction, and wall mass transfer rate for various parametric values. The model can be a useful tool for understanding the polluting situations of an improper discharge incident and evaluating the effects of decontaminating measures for the water body.
Second Law Analysis of Laminar Flow In A Channel Filled With Saturated Porous Media
O. D. Makinde,E. Osalusi
Entropy , 2005, DOI: 10.3390/e7020148
Abstract: The entropy generation rate in a laminar flow through a channel filled with saturated porous media is investigated. The upper surface of the channel is adiabatic and the lower wall is assumed to have a constant heat flux. The Brinkman model is employed. Velocity and temperature profiles are obtained for large Darcy number (Da) and used to obtain the entropy generation number and the irreversibility ratio. Generally, our result shows that heat transfer irreversibility dominates over fluid friction irreversibility (i.e. 0 < ? < 1), and viscous dissipation has no effect on the entropy generation rate at the centerline of the channel.
Optimal Control of a Threatened Wildebeest-Lion Prey-Predator System in the Serengeti Ecosystem  [PDF]
T. D. Sagamiko, N. Shaban, C. L. Nahonyo, O. D. Makinde
Open Journal of Ecology (OJE) , 2015, DOI: 10.4236/oje.2015.54010
Abstract: We develop a two-species prey-predator model in which prey is wildebeest and predator is lion. The threats to wildebeest are poaching and drought while to lion are retaliatory killing and drought. The system is found in the Serengeti ecosystem. Optimal control theory is applied to investigate optimal strategies for controlling the threats in the system where anti-poaching patrols are used for poaching, construction of strong bomas for retaliatory killing and construction of dams for drought control. The possible impact of using a combination of the three controls either one at a time or two at a time on the threats facing the system is also examined. We observe that the best result is achieved by using all controls at the same time, where a combined approach in tackling threats to yield optimal results is a good approach in the management of wildlife populations.
On Nonperturbative Techniques for Thermal Radiation Effect on Natural Convection past a Vertical Plate Embedded in a Saturated Porous Medium
O. D. Makinde,R. J. Moitsheki
Mathematical Problems in Engineering , 2008, DOI: 10.1155/2009/689074
Abstract: 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.
Second Law Analysis for a Variable Viscosity Reactive Couette Flow under Arrhenius Kinetics
N. S. Kobo,O. D. Makinde
Mathematical Problems in Engineering , 2010, DOI: 10.1155/2010/278104
Abstract: This study investigates the inherent irreversibility associated with the Couette flow of a reacting variable viscosity combustible material under Arrhenius kinetics. The nonlinear equations of momentum and energy governing the flow system are solved both analytically using a perturbation method and numerically using the standard Newton Raphson shooting method along with a fourth-order Runge Kutta integration algorithm to obtain the velocity and temperature distributions which essentially expedite to obtain expressions for volumetric entropy generation numbers, irreversibility distribution ratio, and the Bejan number in the flow field.
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