Papers by Professor Philip Oladapo Olanrewaju
The focus of this study is to carry out a numerical investigation of the convective plane stagnat... more The focus of this study is to carry out a numerical investigation of the convective plane stagnation point flow with convective boundary conditions. The system of coupled partial differential equations was first transformed into a system of coupled ordinary differential equations using the method of similarity transformation, which was then solved using the classical fourth order Runge-Kutta formula together with the shooting techniques. The effects of the thermo-physical parameters were then investigated. The Nusselt number is also determined numerically and compared with the case of flow over a flat plate, It is discovered that the plane stagnation point flow has higher Nusselt numbers due to the presence of the pressure gradient.
Immunological response by the organism towards the injurious stimuli is inflammation. Healing pro... more Immunological response by the organism towards the injurious stimuli is inflammation. Healing process of the tissues is initiated by this mechanism. Absence of inflammation leads to host of diseases such as fever, atherosclerosis and rheumatoid arthritis. For this reason inflammation is closely regulated by the body. The phenothiazine nucleus is well known for its inhibitory activity towards the regulatory enzymes that contribute to inflammatory diseases. Phenothiazines biological activity against the regulatory enzymes like phosphodiesterase (PDE), prostaglandin dehydrogenase (PS) and superoxide dismutase (SOD) control the inflammation. In the present study, analogues of phenothiazines were used for molecular docking. Inhibitors, which are having good inhibitory activity against the targets, were taken from the literature. Sixteen inhibitors of phenothiazine and their IC50 values were taken from literature. The proteins and ligands were energy minimized using OPLS force field. High...
The effect of viscous dissipation on the temperature profile of the laminar flow in a channel fil... more The effect of viscous dissipation on the temperature profile of the laminar flow in a channel filled with saturated porous media is analyzed. The source of inspiration of this work could be found in Makinde et al. [4]. In this new paper, we include the viscous dissipation term which has an effect on the temperature profile of the fluid flow in the channel. The Brinkman model was employed. Velocity and temperature profiles are obtained for large Brinkman number using Pascal programming language and Maple software packages. Generally our result shows that the fluid temperature decreases with a decrease in porous media permeability (s increases) as the Brinkman number Br, increases. (
International Journal for Computational Methods in Engineering Science and Mechanics, 2014
ABSTRACT This paper is concerned with steady boundary layer flow over a moving permeable sheet in... more ABSTRACT This paper is concerned with steady boundary layer flow over a moving permeable sheet in a viscous and incompressible fluid. In addition to mass transfer from the plate (suction or injection), the buoyancy term is included in the momentum equation and the viscous dissipation and radiation terms are also included in the energy equation. The sheet is assumed to move in the same or opposite direction to the free stream. Using a similarity variable, the steady-state governing nonlinear partial differential equations have been transformed into a set of coupled nonlinear ordinary differential equations, which are solved numerically by applying shooting iteration technique together with sixth-order Runge-Kutta integration scheme. In order to have a true similarity solution, the parameter Grx must be constant and not depend on x. This condition can be met if the thermal expansion coefficient β is proportional to x−1. The effects of Prandtl number, Eckert number, the local Grashof number, and the radiation parameter on the velocity and temperature profiles are illustrated and interpreted in physical terms. A comparison with previously published results on the special case of the problem shows excellent agreement.
Recently, the minimal model mostly used for the physiological study of diabetes mellitus was modi... more Recently, the minimal model mostly used for the physiological study of diabetes mellitus was modified because it has some drawbacks. So a new dynamic model was proposed by De Gaetano and Arino [6] for the study of intravenous glucose tolerance test. In 2001, Jiaxu and Kuang [12] modified the way time delay was incorporated in [6] model. Some other people has also try to improve on the models to address some of the drawbacks identifies in some of the dynamic model. The objective of this paper is to present a dynamic model that will take into account the glucose intake which has not be considered in the previous models in literature. We show that the model has a unique solution for all t>0 and that the equilibrium point is globally asymptotically stable. We also perform some numerical simulation based on the data from the literature to consider the effect of glucose intake on a diabetic's subject.
The thermal-diffusion and diffusion-thermo effects on the heat and mass transfer characteristics ... more The thermal-diffusion and diffusion-thermo effects on the heat and mass transfer characteristics of free convection past a moving vertical plate embedded in a porous medium in the presence of magnetic field, blowing/suction and thermal radiation is investigated. Using appropriate similarity variables and boundary-layer approximations, the fluid equations for continuity, momentum, energy and chemical species concentration balance governing the problem are formulated. These equations are solved numerically by using the most effective Newton–Raphson shooting method along with sixth-order Runge–Kutta integration algorithm. . It was found that the fluid temperature increases while both the fluid velocity and chemical species concentration decreases as Soret number decreases and Dufour number increases. Moreover, both magnetic field and porous medium permeability parameters have a weakening effect on the local skin friction coefficient, local Nusselt number and the local Sherwood number. ...
IOSR Journal of Mathematics, 2014
A deterministic model for the transmission dynamics of Tuberculosis (TB) under Direct Observation... more A deterministic model for the transmission dynamics of Tuberculosis (TB) under Direct Observation Therapy Strategy (DOTS) and Isolation in Nigeria is developed and rigorously analysed. The model, consisting of mutually-exclusive epidemiological compartments representing the number of undetected, detected and isolated individuals who are treated under DOTS programme and those who developed Multi-drug resistance. The model has a disease free equilibrium (DFE), which is locally asymptotically stable, whenever the maximum of the associated reproduction numbers of the model (denoted by R c) is less than unity. Furthermore, the model undergoes a backward bifurcation, where the disease-free equilibrium co-exists with a stable endemic equilibrium. Numerical simulations, using epidemiological and demographic data relevant to Nigeria obtained from WHO and USAID [35,36,38], shows that provided the rate at which the undetected individuals with active TB recovered exceeded a critical values, then DOTS, the STOP TB initiative programme of WHO can lead to effective elimination of TB in Nigeria. This suggest that the detection rate plays significant role in the elimination of TB. Furthermore, it is shown that if the progress or rate of individuals who are susceptible to TB is low, it can also lead to elimination of the disease in Nigeria. The results also shows that if the effective contact rate () for TB infection remains below certain critical value (0.187), the disease can be eliminated.
American Journal of Computational and Applied Mathematics, 2012
The steady, laminar boundary layer flow with a convective boundary condition, to a continuously m... more The steady, laminar boundary layer flow with a convective boundary condition, to a continuously moving flat plate is studied taking into account the variation of viscosity with temperature in the presence of a magnetic field, heat generation and thermal radiation. The fluid viscosity is assumed to vary as a linear function of temperature. The resulting, governing equations are non-dimensionalized and transformed using a similarity transformation and then solved numerically by sixth order Runge-Kutta method alongside with shooting method. Comparison with previously published work is performed and there was a perfect agreement at large value of the Biot number. A parametric study of all the embedded flow parameters involved is conducted, and a representative set of numerical results for the velocity and temperature profiles as well as the skin-friction parameter and the Nusselt number is illustrated graphically to show typical trend of the solutions. It is worth pointing out that, when the variation of viscosity with temperature is strong in the presence of the effect of a magnetic field, radiation, heat generation, the results of the present work are completely different from those that studied the same problem in the absence of magnetic field, thermal radiation and the heat generation. It is interesting to note that higher the values of Prandtl number lesser the effects of Biot number and the magnetic field intensity.
South African Journal of Science, 2011
Effects of internal heat generation, thermal radiation and buoyancy force on a boundary layer ove... more Effects of internal heat generation, thermal radiation and buoyancy force on a boundary layer over a vertical plate with a convective surface boundary condition.
International Communications in Heat and Mass Transfer, 2011
The objective of the present study is to investigate the simultaneous effects of thermal and conc... more The objective of the present study is to investigate the simultaneous effects of thermal and concentration diffusions on a mixed convection boundary layer flow over a permeable surface under convective surface boundary condition. Using the local similarity method, it has been shown that a set of suitable similarity transformations reduce the non-linear coupled partial differential equations governing the flow, thermal and concentration fields into a set of non-linear coupled ordinary differential equations. Next, two point boundary value problem for non-linear coupled ordinary differential equations have been solved numerically using an implicit finite difference scheme in combination with the quasi-linearization technique. It is interesting to note that dual solutions exist for buoyancy assisting flow, besides that usually reported in literature for buoyancy opposing flow. Further, the buoyancy assisting force causes considerable overshoot in the velocity profile. Prandtl and Schmidt numbers strongly affect the thermal and concentration boundary layer thicknesses, respectively.
Heat Transfer-Asian Research, 2013
Effects of thermal-diffusion, diffusion-thermo and space porosity on MHD mixed convective flow of... more Effects of thermal-diffusion, diffusion-thermo and space porosity on MHD mixed convective flow of micropolar fluid in a vertical channel with viscous dissipation
American Journal of Fluid Dynamics, 2012
In this study, we examine the combined effects of internal heat generation and a convective bound... more In this study, we examine the combined effects of internal heat generation and a convective boundary condition on the laminar boundary layer flow over a flat plate. It is assumed that lower surface of the plate is in contact with a hot fluid while a stream of cold fluid flows steadily over the upper surface with a heat source that decays exponentially. Using a similarity variable, the governing non-linear partial differential equations have been transformed into a set of coupled non-linear ordinary differential equations, which are solved numerically by applying shooting iteration technique together with fourth order Runge-Kutta integration scheme. The effects of Prandtl number, local Biot number, and the internal heat generation parameter on the velocity and temperature profiles are illustrated and interpreted in physical terms. A comparison with previously published results on special case of the problem shows excellent agreement
Afrika Matematika, 2011
z Unsteady convection with chemical reaction and radiative heat transfer past a flat porous plate... more z Unsteady convection with chemical reaction and radiative heat transfer past a flat porous plate moving through a binary mixture
Journal of Fluids Engineering, 2010
This study aims to analyze the effects of thermal buoyancy on the laminar boundary layer about a ... more This study aims to analyze the effects of thermal buoyancy on the laminar boundary layer about a vertical plate in a uniform stream of fluid under a convective surface boundary condition. Using a similarity variable, the governing nonlinear partial differential equations have been transformed into a set of coupled nonlinear ordinary differential equations, which are solved numerically by applying shooting iteration technique together with fourth-order Runge–Kutta integration scheme. The variations in dimensionless surface temperature and fluid-solid interface characteristics for different values of Prandtl number (Pr), local Grashof number Grx, and local convective heat transfer parameter Bix are graphed and tabulated. A comparison with previously published results on special case of the problem shows excellent agreement.
Chemical Engineering Communications, 2011
Full terms and conditions of use: http://www.informaworld.com/terms-and-conditions-of-access.pdf ... more Full terms and conditions of use: http://www.informaworld.com/terms-and-conditions-of-access.pdf This article may be used for research, teaching and private study purposes. Any substantial or systematic reproduction, redistribution , reselling , loan or sub-licensing, systematic supply or distribution in any form to anyone is expressly forbidden. The publisher does not give any warranty express or implied or make any representation that the contents will be complete or accurate or up to date. The accuracy of any instructions, formulae and drug doses should be independently verified with primary sources. The publisher shall not be liable for any loss, actions, claims, proceedings, demand or costs or damages whatsoever or howsoever caused arising directly or indirectly in connection with or arising out of the use of this material.
Arabian Journal for Science and Engineering, 2011
Analysis is carried out to study free convective heat and mass transfer of an incompressible, ele... more Analysis is carried out to study free convective heat and mass transfer of an incompressible, electrically conducting fluid past a moving vertical plate in the presence of suction and injection with thermal diffusion (Soret) and diffusion-thermo (Dufour) effects. Similarity solutions are obtained using scaling transformations. Furthermore, using a similarity variable, the governing non-linear partial differential equations have been transformed into a set of coupled non-linear ordinary differential equations, which are solved numerically by applying shooting iteration technique together with sixth order Runge-Kutta integration scheme. A comparison with previously work is performed and the results are found to be in good agreement. Numerical results of the local skin friction coefficient, the local Nusselt number and the local Sherwood number as well as the velocity, the temperature and the concentration profiles are presented for different physical parameters. The result indicates: (i) for fluids with medium molecular weight (H2, air), Dufour and Soret effects should not be neglected; and (ii) the suction and injection parameter has significant impact in controlling the rate of heat transfer in the boundary layer. Finally, numerical values of physical quantities, such as the local skin-friction coefficient, the local Nusselt number and the local Sherwood number are presented in tabular form.
… of Advances in …, 2011
... 2Department of Mathematics & Computer Science, Kaduna Polytechnic, Kaduna, Nigeria (o... more ... 2Department of Mathematics & Computer Science, Kaduna Polytechnic, Kaduna, Nigeria (oladapo_anu@yahoo.ie, philip.olanrewaju@covenantuniversity.co.edu) Abstract ... Makinde &Olanrewaju [16] studied the effects of thermal buoyancy on the laminar boundary layer ...
Journal of Central South University, 2015
An analysis was made to study the steady momentum and heat transfer characteristics of a viscous ... more An analysis was made to study the steady momentum and heat transfer characteristics of a viscous electrically conducting fluid near a stagnation point due to a stretching/shrinking sheet in the presence of a transverse magnetic field and generalized slip condition. Two flow problems corresponding to the planar and axisymmetric stretching/shrinking sheet were considered. By means of similarity transformations, the obtained resultant nonlinear ordinary differential equations were solved numerically using a shooting method for dual solutions of velocity and temperature profiles. Some important physical features of the flow and heat transfer in terms of the fluid velocity, the temperature distribution, the skin friction coefficient and the local Nusselt number for various values of the controlling governing parameters like velocity slip parameter, critical shear rate, magnetic field, ratio of stretching/shrinking rate to external flow rate and Prandtl number were analyzed and discussed. An increase of the critical shear rate decreases the fluid velocity whereas the local Nusselt number increases. The comparison of the present numerical results with the existing literature in a limiting case is given and found to be in an excellent agreement.
International Communications in Heat and Mass Transfer, 2014
In this communication we address a recent article by Olajuwon [B.I. Olajuwon, Convection heat and... more In this communication we address a recent article by Olajuwon [B.I. Olajuwon, Convection heat and mass transfer in a hydromagnetic flow of a second grade fluid in the presence of thermal radiation and thermal diffusion, International Communications in Heat and Mass Transfer 38 (2011) 377-382]. We point out some errors in the mathematical formulation, numerical solution and the discussion of the results. It is believed that the readers of International Communications in Heat and Mass Transfer will gain better insight into the problem.
An approximate numerical solution for the unsteady free convective flow of Sisko fluid with radia... more An approximate numerical solution for the unsteady free convective flow of Sisko fluid with radiative heat transfer past a flat plate moving through a binary mixture has been obtained by solving the governing equations using numerical technique. Using a similarity variable, the governing non- linear partial differential equations have been transformed into a set of coupled non-linear ordinary differential equations, which are solved numerically by applying shooting iteration technique together with fourth order Runge-Kutta integration scheme. Numerical calculations were carried out for different values of dimensionless parameters and an analysis of the results obtained shows that the flow is influenced appreciably by the chemical reaction, heat source and suction or injection at the wall.
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Papers by Professor Philip Oladapo Olanrewaju