Papers by Animasaun Isaac Lare
Journal of Molecular Liquids, 2019
In this article, we consider the transient free convection flow of nanofluids between two vertica... more In this article, we consider the transient free convection flow of nanofluids between two vertical parallel plates in the presence of radiation and damped thermal flux. The generalized Fourier's law is considered in thermal flux constitutive equation with a weakly memory. The integral transform technique is used for finding the exact solutions of the fractional governing differential equations for fluid temperature and velocity field. The solutions are presented in the term of the time-fractional derivative of the Wright function and Robotnov and Hartley function. Solutions to the ordinary fluid, corresponding to the fractional parameter equal to unit, are obtained as a particular case of the fractional problem. Numerical calculations are carried out and results are presented in graphical illustrations. The influence of the memory parameter (the fractional order of the time-derivative) on the temperature and velocity fields is analyzed and a comparison between the fluid with thermal memory and the ordinary fluid is made.
Defect and Diffusion Forum, 2017
In this article, the motion of a non-Newtonian visco-inelastic fluid over an object that is nei... more In this article, the motion of a non-Newtonian visco-inelastic fluid over an object that is neither a cone/wedge nor horizontal/vertical is presented. It is assumed that partial slip and buoyancy induces the flow of Williamson fluid over this kind of object herein referred to as an upper horizontal surface of a paraboloid of revolution. Considering the relationship between the thicknesses of the object and velocity index; the relevance of partial slip at the leading edge is significant and illustrated in this article. The governing equation which models the flow is nondimensionalized and parameterized. The corresponding dimensionless equations are solved numerically using shooting technique along with fourth order Runge-Kutta integration scheme. Due to the presence of partial slip and thermal jump, increase in horizontal velocity at the wall is ascertained. The decrease in local heat transfer rate is ascertained within large interval next to the surface of a paraboloid of revolution in the absence of partial slip and thermal jump. A significant
decrease in temperature distribution near the surface of an upper horizontal surface of a paraboloid of revolution is guaranteed with an increase in thermal buoyancy parameter in the presence of thermal jump
For the development of an outstanding thinking and reasoning skills, it becomes necessary to acqu... more For the development of an outstanding thinking and reasoning skills, it becomes necessary to acquire a deep understanding of some factors influencing the academic performance of undergraduate students in the and also in other universities in the world. In this article, gender, the likeness of mathematics courses, offering of further mathematics in secondary school, self-efficacy, active learning strategies, and academic performance of randomly selected 290 students from the population is presented and investigated statistically. Independent t-test, one-way analysis of variance, and nonparametric Kruskal-Wallis packages on SPSS were used to analyse the extracted data from questionnaires. Students in the Department of Mathematical Sciences FUTA with a high level of likeness in mathematics possess high self-efficacy, active learning strategies. An outstanding academic performance of these students is guaranteed. Male and female students possess almost equal self-efficacy and active learning strategies.
Geometrically, the upper pointed surface of an aircraft and bonnet of a car are examples of upper... more Geometrically, the upper pointed surface of an aircraft and bonnet of a car are examples of upper horizontal surfaces of a paraboloid of revolution (uhspr). The motion of these objects strongly depends on the boundary layer that is formed within the immediate space on it. However, each of these surfaces is neither a horizontal/vertical nor cone/wedge and neither a cone nor a wedge. This article presents the motion of 2-dimensional Blasius flow of Carreau fluid on the surface of such object. The case in which the reaction between the Carreau fluid and catalyst at the surface produces significant temperature differences which consequently set up buoyancy-driven flows within the boundary layer is investigated. Single first-order Arrhenius kinetics is adopted to model the reaction on the surface of the catalyst situated on uhspr which initiates the free convec-tion. Suitable similarity variables are applied to non-dimensionalized, parameterized and reduce the governing partial differential equations to a coupled ordinary differential equations (BVP). The BVP is solved numerically using the shooting technique. Temperature distribution in the flow of vis-coelastic Carreau fluid is greater than that of a Newtonian fluid. Local heat transfer rate decreases faster when the Carreau fluid is characterized as shear-thinning. Maximum concentration is guaranteed at a small value of power-law index n and large value of thickness parameter.
This study covers a numerical investigation of gyrotactic microorganisms contained MHD flow over ... more This study covers a numerical investigation of gyrotactic microorganisms contained MHD flow over a vertical plate bearing thermal radiation, thermophoresis, Brownian motion, chemical reaction and inclined magnetic field effects. With the assistance of similarity transforms, the derived governed equations are transformed as set of ODEs and solved numerically by R-K and Newton's methods. Graphs are exhibited and explained for various parameters of interest. For engineering interest, we mainly talked about the Skin friction coefficient, reduced Sherwood, Nusselt numbers and density of motile microorganisms. We noticed a rise in the heat transfer rate of motile microorganisms for rising values of the thermophoresis and Brownian motion parameters. Increasing values of the aligned angle hikes the drag force.
In general, magnetite (Fe 3 O 4) nanoparticles move randomly within the base fluid. By applying a... more In general, magnetite (Fe 3 O 4) nanoparticles move randomly within the base fluid. By applying an external magnetic field, the movement of those nanoparti-cles becomes homogeneous. This is very useful in heat transfer processes. In addition, applied magnetic fields are capable to set the thermal and physical natures of the nanofluids with magnetic properties. The heat and mass transfers of non-Newtonian fluids play a major role in technology and in nature due to its stress relaxation, shear thinning, and thickening properties. With this incentive, we investigate the momentum, thermal, and concentration boundary layer behavior of liquid-film flow of water-based non-Newtonian nanofluids dispensed with magnetite nanoparticles. For this investigation, we propose a mathematical model, which deals with the flow of Jeffrey and Oldroyd-B nanofluids past a stretched plate with transverse magnetic field, space and temperature-dependent heat source/sink, thermophoresis, and Brownian movement effects. Numerical results are carried out by employing the Runge–Kutta and Newton's methods. The influence of pertinent parameters on common profiles (velocity, temperature , and concentration) along with the reduced Nusselt number is presented graphically. It is found that suspending the magnetite nanoparticles effectively enhances the thermal conductivity of the Jeffrey nanofluid when compared with the Oldroyd-B nanofluid. Keywords Brownian movement Á Magnetite nanoparticles Á MHD Á Liquid-film flow Á Space-and temperature-dependent heat source/sink Á Thermophoresis
Within the last few decades, experts and scientists dealing with the flow of non-Newtonian fluids... more Within the last few decades, experts and scientists dealing with the flow of non-Newtonian fluids (most especially Casson fluid) have confirmed the existence of such flow on a stretchable surface with low heat energy (i.e. absolute zero of temperature). This article presents the motion of a three-dimensional of such fluid. Influence of uniform space dependent internal heat source on the intermolecular forces holding the molecules of Casson fluid is investigated. It is assumed that the stagnation flow was induced by an external force (pressure gradient) together with impulsive. Based on these assumptions, variable thermophysical properties are most suitable; hence modified kinematic viscosity model is presented. The system of governing equations of 3-dimensional unsteady Casson fluid was non-dimensionalized using suitable similarity transformation which unravels the behavior of the flow at full fledge short period. The numerical solution of the corresponding boundary value problem (ODE) was obtained using Runge-Kutta fourth order along with shooting technique. The intermolecular forces holding the molecules of Casson fluid flow in both horizontal directions when magnitude of velocity ratio parameters are greater than unity breaks continuously with an increase in Casson parameter and this leads to an increase in velocity profiles in both directions.
Extrinsic magnetic fields are capable to set the thermal and physical properties of magnetic-nano... more Extrinsic magnetic fields are capable to set the thermal and physical properties of magnetic-nanofluids and regulate the flow and heat transfer characteristics. The strength of the applied magnetic field affects the thermal conductivity of magnetic-nanofluids and makes it aeolotropic. With this incentive, we investigate the flow and heat transfer characteristics of electrically conducting liquid film flow of magnetic-nanofluids over the vicinity of a thin elastic sheet by considering the variable directional magnetic field with irregular heat source/sink. For this study, we considered the water based silver, copper and aluminum oxide nanoparticles and their electrical conductivities. With the assistance of similarity transformations, we changed the derived governed equations as ordinary differential equations. Mathematical results are determined by enforcing Runge-Kutta and Newton's methods. Graphs are exhibited and explained for various parameters of interest. We talked about the skin friction coefficient and reduced Nusselt number for the influence of pertinent parameters with the assistance of graphs and tables. It is found that variable directional magnetic field regulates the friction factor and heat transfer rate. It is also found that heat transfer rate is high in Al 2 O 3-water nanofluid when compared with Cu-water and Ag-water nanofluids for rising values of aligned magnetic angle.
Bonnet of a car, the upper surface of a pointed bullet and upper surface of the pointed part of a... more Bonnet of a car, the upper surface of a pointed bullet and upper surface of the pointed part of an aircraft are typical examples of an upper horizontal surface of a paraboloid of revolution (uhspr). However, the flow of some fluids past these kinds of objects fit the description of Eyring-Powell fluid flow. Theoretical investigation of two-dimensional Eyring-Powell fluid flow over such object which is neither cone/wedge nor horizontal/vertical is investigated. It is assumed that the flow of Eyring-Powell fluid is induced by catalytic surface reaction and stretching fluid layers at the free stream. The numerical solutions of the governing equation are obtained using classical fourth order Runge-Kutta scheme together with shooting techniques. The impacts of the most important parameters on the flow are presented. It is concluded that the maximum velocity of the flow is ascertained when the flow is characterized as Newtonian fluid flow. On the surface of uhspr, rapid increase and suppress in the temperature distribution and concentration with an increase in the magnitude of one of the Eyring-Powell fluid parameters are guaranteed. A significant fall in the local skin friction coefficients is ascertained due to rise in the magnitude of thickness parameter.
The motion of air (i.e fluid) in which tiny particle rotates past a pointed surface of a rocket (... more The motion of air (i.e fluid) in which tiny particle rotates past a pointed surface of a rocket (as in space science), over a bonnet of a car and past a pointed surface of an aircraft is of important to experts in all these fields. Geometrically, all the domains of fluid flow in all these cases can be referred to as the upper horizontal surface of a paraboloid of revolution (uhspr). Meanwhile, the solution of the corresponding partial differential equation is an open question due to unavailability of suitable similarity variable to non-dimensionalize the angular momentum equation. This article unravels the nature of skin friction coefficient, heat transfer rate, velocity, temperature, concentration of homogeneous bulk fluid and heterogeneous catalyst which exists on a stretchable surface which is neither a perfect horizontal/vertical nor inclined/cone. Theory of similarity solution was adopted to obtain the similarity variable suitable to scale the proposed angular momentum equation. These equations along with the boundary conditions are solved numerically using Runge-Kutta technique along with shooting method. The similarity variable successfully non-dimensionalized and parameterized the angular momentum for boundary layer flow past uhspr. Temperature dependent dynamic viscosity parameter increases vertical velocity near a free stream but reduces micro-rotation near uhspr. Effect of thermal radiation parameter on temperature profile and heat transfer rate can be greatly influenced by thickness parameter.
The flow geometry plays a major role in heat and mass transfer processes in many engineering and ... more The flow geometry plays a major role in heat and mass transfer processes in many engineering and industrial applications.In the present paper, we examined the combined effects of Cattaneo-Christov heat flux, external magnetic field, chemical reaction, heat source and buoyancy forces on the flow of an incompressible electrically conducting fluid with heat and mass transfer over three different geometries (cone, wedge and a plate). The nonlinear governing equations are obtained and tackled numerically using shooting technique with Runge-Kutta-Felhberg integration scheme. Numerical results are presented graphically and discussed quantitatively. It is found that the thermal boundary layer is highly effective on the flow over a wedge when compared with the other two geometries (plate and a cone).
Flow and heat transfer behavior of magnetohydrodynamic Carreau and Casson fluids past an upper pa... more Flow and heat transfer behavior of magnetohydrodynamic Carreau and Casson fluids past an upper part of the paraboloid of revolution with space dependent internal heat source/sink is investigated theoretically. The buoyancy induced on the flow is considered in such way that the surface is neither vertical/horizontal nor wedge/cone. The equations that govern the flow are transformed using suitable similarity variables and solved numerically by employing R-K-F integration scheme. Graphical results are obtained to discuss the behavior of flow and temperature fields for various parameters of interest. Also the wall friction is computed and heat transfer coefficient is reduced. It is found that the boundary layers of temperature and velocity distributions are non-uniform for Carreau and Casson flows. Impact of drag force is high on Casson flow when equated with Carreau fluid.
In this article, the boundary layer analysis which can be used to educate engineers and scientist... more In this article, the boundary layer analysis which can be used to educate engineers and scientists on the flow of some fluids (i.e. glossy paints) in the industry is presented. The influence of melting heat transfer at the wall and thermal stratification at the freestream on Upper Convected Maxwell (UCM) fluid flow with heat transfer is considered. In order to accurately achieve the objective of this study, classical boundary condition of temperature is investigated and modified. The corresponding influences of thermal radiation and internal heat source across the horizontal space on viscosity and thermal conductivity of UCM are properly considered. The dynamic viscosity and thermal conductivity of UCM are temperature dependent. Classical temperature dependent viscosity and thermal conductivity models were modified to suit the case of both melting heat transfer and thermal stratification. The governing nonlinear partial differential equations describing the problem are reduced to a system of nonlinear ordinary differential equations using similarity transformations and solved numerically using the Runge-Kutta method along with shooting technique. The transverse velocity, longitudinal velocity and temperature of UCM are increasing functions of temperature dependent viscous and thermal conductivity parameters. This could increase the efficiency of some fluids flow in the industry. Effects of selected emerging parameters on the velocity and temperature fields are plotted and discussed.
In the industry, the thickness of many surfaces can be described as non-uniform. To a reasonable ... more In the industry, the thickness of many surfaces can be described as non-uniform. To a reasonable extent, an upper half surface of a horizontal object with variable thickness can be described as a paraboloid of revolution. In this article, a modified version of a buoyancy-induced model is considered to account for the force which drives the flow of 29 nm CuO-water nanofluid along its upper horizontal surface in the presence of nonlinear thermal radiation. The case of unequal diffusion coefficients of reactant A (bulk fluid) and B (high concentration of catalyst at the surface) in the presence of a gyrotactic microorganism is considered. It is assumed that there exist a significant difference between nanoparticle mass density and base fluid density. Governing equation suitable to unravel the thermophoresis which takes place within the boundary layer is presented. Since chemical reactant, B is of higher concentration at the surface more than the concept earlier described as cubic autocatalytic, hence the suitable schemes herein described as isothermal quartic autocatalytic reaction and first order reaction. The dynamic viscosity and thermal conductivity are assumed to vary with volume fraction (ϕ) and suitable models for the case ϕ 0 ≤ ≤ 0.9 are adopted. The transformed governing equations are solved numerically using Runge-Kutta fourth order along with shooting technique (RK4SM). Good agreement is obtained between the solutions of RK4SM and MATLAB bvp5c for a limiting case. Numerical analysis of many emerging parameters is illustrated graphically and discussed.
In this article, the problem of a non-Newtonian fluid (micropolar) flow over a horizontal melting... more In this article, the problem of a non-Newtonian fluid (micropolar) flow over a horizontal melting surface in the presence of internal heat source and dual stretching (i.e. at the wall and at the free stream) is presented. Since the magnetic-Reynold of the flow is substantial, the influence of induced magnetic field is properly accounted in the governing equation. The viscosity and thermal conductivity of the micropolar fluid are considered to vary linearly with temperature. Classical models of these thermophysical properties were modified to suit the case of melting heat transfer. A similarity transformation is applied to reduce the governing partial differential equation to coupled ordinary differential equation corresponding to dimensionless momentum, angular momentum, energy and induced magnetic field equation. These equations along with the boundary conditions are solved numerically using shooting method along with Runge-Kutta-Gill method together with quadratic interpolation. The results of the present study indicate that due to the formation of boundary layer on melting surface (region of low heat energy) in the presence of induced magnetic field, space and temperature dependent internal heat generation enhances the heat transfer rate.
This study reports the enhanced heat transfer of electrically conducting magnetic-nanofluids with... more This study reports the enhanced heat transfer of electrically conducting magnetic-nanofluids with thermal radiation and inclined magnetic field effects. We consider water as a base fluid embedded with the two different types of aluminum alloy nanoparticles namely AA 7072 and AA 7075. AA 7072 is a special type of heat treatable aluminum alloy with 98% Al and 1% of Zn with the additives such as Si, Fe and Cu. Similarly, AA 7075 contains 90% Al, 5–6% Zn, 2–3% Mg, 1–2% Cu with the additives such as Si, Fe and Mn. Numerical results are explored with the aid of R-K and Newton's techniques. Results are depicted diagrammatically and discussed on the common profiles of interest (velocity and temperature). The heat transfer rate of water-AA 7075 nano-fluid is significantly high when compared with the rate of heat transfer of water-AA 7072 nanofluid.
Effects of some thermo-physical parameters on free convective heat and mass transfer over a verti... more Effects of some thermo-physical parameters on free convective heat and mass transfer over a vertical stretching surface at the lowest level of heat energy in the presence of suction are investigated in the presence of suction. At constant function of thermal conductivity, the dynamic viscosity of the fluid is assumed to vary as a linear function of temperature. A similarity transformation is applied to reduce the governing equations to a coupled ordinary differential equations corresponding to the momentum, energy and concentration equations. These equations along with the boundary conditions are
also solved numerically using shooting method along with Runge-Kutta-Gill method. The effects of thermo-physical parameters on the velocity, temperature and concentration profiles are graphically shown. It is found that with an increase in the value of temperature-dependent fluid viscosity parameter, the velocity increases while
the temperature and concentration decrease across the flow region. Dufour, Soret, Frank-Kamenetskii, Prandtl and Schmidt numbers activation energy also has an effect. Numerical data for the local skin-friction coefficient, the local Nusselt number and the local Sherwood number have been tabulated for various values of certain parameter
conditions.
The problem of a non-Newtonian fluid flow past an upper surface of an object that is neither a pe... more The problem of a non-Newtonian fluid flow past an upper surface of an object that is neither a perfect horizontal/vertical nor inclined/cone in which dissipation of energy is associated with temperature-dependent plastic dynamic viscosity is considered. An attempt has been made to focus on the case of two-dimensional Casson fluid flow over a horizontal melting surface embedded in a thermally stratified medium. Since the viscosity of the non-Newtonian fluid tends to take energy from the motion (kinetic energy) and transform it into internal energy, the viscous dissipation term is accommodated in the energy equation. Due to the existence of internal space-dependent heat source; plastic dynamic viscosity and thermal conductivity of the non-Newtonian fluid are assumed to vary linearly with temperature. Based on the boundary layer assumptions, suitable similarity variables are applied to nondimensionalized, parameterized and reduce the governing partial differential equations into a coupled ordinary differential equations. These equations along with the boundary conditions are solved numerically using the shooting method together with the Runge-Kutta technique. The effects of pertinent parameters are established. A significant increases in Re 1/2 í µí±¥ í µí° ¶ í µí±í µí±¥ is guaranteed with í µí± í µí±¡ when magnitude of í µí»½ is large. Re 1/2 í µí±¥ í µí° ¶ í µí±í µí±¥ decreases with í µí°¸í µí± and í µí±.
The problem of unsteady non – Newtonian flow past a vertical porous surface in the ... more The problem of unsteady non – Newtonian flow past a vertical porous surface in the presence of thermal radiation is investigated. Using the theory ofboundary layer analysis, the flow of micropolar fluid in the presence of exothermic and endothermic kind of chemical reaction is considered. It is assumed that the relationship between the flow rate and the pressure drop as the fluid flows over a porous medium is non – linear. Using local similarity transformation, the
governing partial differential equations of the physical model are reduced to ordinary differential equations. The corresponding boundary value problem is solved numerically using shooting method along with Runge-Kutta Gill method together with quadratic interpolation. It is found that increase in micro-rotation parameter increases the velocity while the micro-rotation decreases across the flow region. Maximum micro-rotation of tiny particles is guaranteed at higher values of suction parameter. Local heat transfer rate decreases with an increase in exothermic /endothermic
parameter.
In this article, the motion of two-dimensional Casson fluid flows with temperature depe... more In this article, the motion of two-dimensional Casson fluid flows with temperature dependent plastic dynamic viscosity together with double (i.e. thermal and solutal) stratification in the presence of Lorentz force is investigated. The case where the viscosity of the fluid tends to take energy away from the motion (kinetic energy) and transform it into internal energy is considered.
The nonlinear governing equations and their associated boundary conditions are transformed and non-dimensionalized using similarity variables which are thereafter solved numerically using the shooting method together with the Runge-Kutta technique. The effects of the magnetic field parameter, temperature dependent viscosity parameter, Casson parameter, Eckert number, velocity power index, pressure gradient parameter and wall thickness parameter on the velocity, temperature, and concentration profiles are showed graphically and discussed. Substantial increase
in temperature distribution is certain with an increase in the magnitude of Eckert number. Local skin friction coefficient decreases with an increase in pressure gradient parameter.
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Papers by Animasaun Isaac Lare
decrease in temperature distribution near the surface of an upper horizontal surface of a paraboloid of revolution is guaranteed with an increase in thermal buoyancy parameter in the presence of thermal jump
also solved numerically using shooting method along with Runge-Kutta-Gill method. The effects of thermo-physical parameters on the velocity, temperature and concentration profiles are graphically shown. It is found that with an increase in the value of temperature-dependent fluid viscosity parameter, the velocity increases while
the temperature and concentration decrease across the flow region. Dufour, Soret, Frank-Kamenetskii, Prandtl and Schmidt numbers activation energy also has an effect. Numerical data for the local skin-friction coefficient, the local Nusselt number and the local Sherwood number have been tabulated for various values of certain parameter
conditions.
governing partial differential equations of the physical model are reduced to ordinary differential equations. The corresponding boundary value problem is solved numerically using shooting method along with Runge-Kutta Gill method together with quadratic interpolation. It is found that increase in micro-rotation parameter increases the velocity while the micro-rotation decreases across the flow region. Maximum micro-rotation of tiny particles is guaranteed at higher values of suction parameter. Local heat transfer rate decreases with an increase in exothermic /endothermic
parameter.
The nonlinear governing equations and their associated boundary conditions are transformed and non-dimensionalized using similarity variables which are thereafter solved numerically using the shooting method together with the Runge-Kutta technique. The effects of the magnetic field parameter, temperature dependent viscosity parameter, Casson parameter, Eckert number, velocity power index, pressure gradient parameter and wall thickness parameter on the velocity, temperature, and concentration profiles are showed graphically and discussed. Substantial increase
in temperature distribution is certain with an increase in the magnitude of Eckert number. Local skin friction coefficient decreases with an increase in pressure gradient parameter.
decrease in temperature distribution near the surface of an upper horizontal surface of a paraboloid of revolution is guaranteed with an increase in thermal buoyancy parameter in the presence of thermal jump
also solved numerically using shooting method along with Runge-Kutta-Gill method. The effects of thermo-physical parameters on the velocity, temperature and concentration profiles are graphically shown. It is found that with an increase in the value of temperature-dependent fluid viscosity parameter, the velocity increases while
the temperature and concentration decrease across the flow region. Dufour, Soret, Frank-Kamenetskii, Prandtl and Schmidt numbers activation energy also has an effect. Numerical data for the local skin-friction coefficient, the local Nusselt number and the local Sherwood number have been tabulated for various values of certain parameter
conditions.
governing partial differential equations of the physical model are reduced to ordinary differential equations. The corresponding boundary value problem is solved numerically using shooting method along with Runge-Kutta Gill method together with quadratic interpolation. It is found that increase in micro-rotation parameter increases the velocity while the micro-rotation decreases across the flow region. Maximum micro-rotation of tiny particles is guaranteed at higher values of suction parameter. Local heat transfer rate decreases with an increase in exothermic /endothermic
parameter.
The nonlinear governing equations and their associated boundary conditions are transformed and non-dimensionalized using similarity variables which are thereafter solved numerically using the shooting method together with the Runge-Kutta technique. The effects of the magnetic field parameter, temperature dependent viscosity parameter, Casson parameter, Eckert number, velocity power index, pressure gradient parameter and wall thickness parameter on the velocity, temperature, and concentration profiles are showed graphically and discussed. Substantial increase
in temperature distribution is certain with an increase in the magnitude of Eckert number. Local skin friction coefficient decreases with an increase in pressure gradient parameter.