Heat together with mass transfer of magnetohydrodynamics (MHD) non-Newtonian nanofluid flow over ... more Heat together with mass transfer of magnetohydrodynamics (MHD) non-Newtonian nanofluid flow over an inclined plate embedded in a porous medium with influence of thermophoresis and Soret-Dufour is studied. The novelty of this study is the combined effects of Soret, Dufour and thermophoresis with nanofluid flow on heat together with mass transfer. The flow is considered over an inclined plate embedded in a porous medium. Appropriate similarity transformations were used to simplify the governing coupled nonlinear partial differential equations into coupled nonlinear ordinary differential equations. A novel and accurate numerical method called spectral homotopy analysis method (SHAM) was used in solving the modelled equations. SHAM is the numerical version of the well-known homotopy analysis method (HAM). It involves the decomposition of the nonlinear equations into linear and nonlinear equations. The decomposed linear equations were solved using Chebyshev pseudospectral method. The findings revealed that the applied magnetic field gives rise to an opposing force which slows the motion of an electrically conducting fluid. Increase in the non-Newtonian Casson fluid parameter increases the skin friction factor and reduces the rate of heat and mass transfer. The present results are compared with existing work and found to be in good agreement.
Soret-Dufour effects on MHD heat and mass transfer of Walter's-B viscoelastic fluid over a semi-i... more Soret-Dufour effects on MHD heat and mass transfer of Walter's-B viscoelastic fluid over a semi-infinite vertical plate are considered. The equations of motion are set of partial differential equations; these are non-dimensionalized by introducing an appropriate non-dimensional quantity. The dimensionless equations along with the boundary conditions are solved numerically using the spectral relaxation method (SRM). All programs are coded in MATLAB R2012a. Results are presented in graphs, and numerical computations of the local skin friction, local Nusselt number and local Sherwood number are presented in a tabular form. The result revealed that as the viscoelastic parameter increases, the velocity profile close to the plate decreases but when far away from the plate, it increases slightly. The present results were found to be in good agreement with those of the existing literature.
An investigation was carried out on the numerical study of unsteady free convective heat transfer... more An investigation was carried out on the numerical study of unsteady free convective heat transfer in Walters-B viscoelastic flow over an inclined stretching sheet with heat source and magnetic field. The dimensionless governing equations are solved using an implicit finite difference method of Crank-Nicolson type. The effects of various parameters on the velocity and temperature fields as well as the coefficient of skin-friction and Nusselt number were presented graphically and in tabulated forms. It is observed that, when the heat source parameter increases, the velocity and temperature increase in the boundary layer.
An investigation was carried out on the numerical solution for thermal radiation effect on inclin... more An investigation was carried out on the numerical solution for thermal radiation effect on inclined magnetic field of magneto hydrodynamic (MHD) free convective heat transfer dissipative fluid flow past a moving vertical porous plate with variable suction. The dimensionless governing equations are formulated in (y*, t*) co-ordinates sysytem with appropriate boundary condition s and the radiative heat flux takes the Rosseland approximation. The equations are solved by using an implicit finite difference method of Crank-Nicolson type. The effects of various parameters on the velocity and temperature fields as well as the Coefficient of skin-friction and Nusselt number were presented graphically and in tabulated forms. It was observed that, when the radiation parameter increases, the velocity and temperature increases in the boundary layer. The effect of increasing values of Hartman number (M) which resulted in decrease in velocity distribution, while, increase in temperature across th...
An investigation was carried out on the radiation effect on unsteady heat and mass transfer of MH... more An investigation was carried out on the radiation effect on unsteady heat and mass transfer of MHD and dissipative fluid flow past a moving vertical porous plate with variable suction in the presence of heat generation and chemical reaction. The dimensionless governing equations for this model were solved analytically using perturbation method. The effects of various parameters on the velocity, temperature and concentration fields as well as the Coefficient of skin-friction, Nusselt number and Sherwood number were presented graphically and in tabulated forms. Keywords : Chemical reaction, Unsteady, Porous medium, MHD, Radiation, Mass transfer and Heat source
International Journal of Modeling, Simulation, and Scientific Computing
A mathematical model describing the epidemic interactions between humans and blackflies in the tr... more A mathematical model describing the epidemic interactions between humans and blackflies in the transmission of onchocerciasis is considered. In this model, the onchocerciasis infected human individuals are divided into two classes of infected humans with high and low microfilarial output incorporating saturated treatment function, which caters for high saturation of onchocerciasis disease. We analyze the model feasible region and obtain the basic reproduction number [Formula: see text] using the next generation matrix method. Also, we obtain the onchocerciasis-free and onchocerciasis endemic equilibrium solutions and show that if [Formula: see text] is less than unity, the onchocerciasis-free equilibrium is locally and globally asymptotically stable. Furthermore, we employed a Lyapunov function to analyze the global asymptotic stability of the onchocerciasis — endemic equilibrium whenever [Formula: see text] is greater than unity. In addition, data on mass drug distribution of iverm...
Abstract. This papers deals with the influence of variable viscosity on laminar magneto hydrodyna... more Abstract. This papers deals with the influence of variable viscosity on laminar magneto hydrodynamic thermal oscillatory flow past a limiting surface with variable suction. It considers two dimensional hydro magnetic flow of a viscous incompressible and electrically conducting fluid, past a limiting surface in the presence of a transverse magnetic field. The induced magnetic H = [Hx ′, Hy ′, 0] and x ′ − axis is chosen along the surface in the direction of the flow and y ′ − axis is taken normal to the limiting surface. Approximate solutions are obtained for the expression for velocity, induced magnetic and temperature when the magnetic Prandtl number Pm = 1, Prandtl number P = 7 and the magnetic parameter M < 1. We observed that an increase in variable parameter leads to an increase in temperature and velocity; where as, an increase in the variable parameter leads to decrease in the induced magnetic field. These observations are presented in tables.
The effect of chemical reaction on MHD oscillatory flow through a vertical porous plate with heat... more The effect of chemical reaction on MHD oscillatory flow through a vertical porous plate with heat generation was studied.The dimensionless governing equations for this model were solved by a closed analytical form. The influence of various parameters on the velocity,temperature and concentration fields as well as the Coefficient of skin-friction number were presented graphically and qualitatively.
In this paper, the Cattaneo-Christov heat flux relocation paradox on Casson fluid with MHD and di... more In this paper, the Cattaneo-Christov heat flux relocation paradox on Casson fluid with MHD and dissipative effects was considered. The buoyancy and heat generation effects were believed to be responsible for the natural convection, while variable properties were perceived as temperaturedependent linear function. Under the given assumptions, the governing system of equations was formulated and transformed. Hence, the Chebyshev collocation spectral approach was therefore employed to achieve an approximate solution. However, the behaviour of temperaturedependent variability establishes the relationship between the boundary layer flow of plastic dynamic viscosity and the Casson fluid. Furthermore, it was observed that a corresponding increase in the stretching index (n) increases the skin friction and decreases the energy and mass gradient accordingly. The relocation phenomenon contributes to a decrease in the thermal process, while the temperature gradient attained maximum within (0.4 − 0.6) variation of the Casson parameter.
Heat together with mass transfer of magnetohydrodynamics (MHD) non-Newtonian nanofluid flow over ... more Heat together with mass transfer of magnetohydrodynamics (MHD) non-Newtonian nanofluid flow over an inclined plate embedded in a porous medium with influence of thermophoresis and Soret-Dufour is studied. The novelty of this study is the combined effects of Soret, Dufour and thermophoresis with nanofluid flow on heat together with mass transfer. The flow is considered over an inclined plate embedded in a porous medium. Appropriate similarity transformations were used to simplify the governing coupled nonlinear partial differential equations into coupled nonlinear ordinary differential equations. A novel and accurate numerical method called spectral homotopy analysis method (SHAM) was used in solving the modelled equations. SHAM is the numerical version of the well-known homotopy analysis method (HAM). It involves the decomposition of the nonlinear equations into linear and nonlinear equations. The decomposed linear equations were solved using Chebyshev pseudospectral method. The fin...
The effects of Kuvshinshiki fluid on Magnetohydrodynamic (MHD) heat and mass transfer flow over a... more The effects of Kuvshinshiki fluid on Magnetohydrodynamic (MHD) heat and mass transfer flow over a vertical porous plate with chemical reaction of nth order and thermal conductivity was carried out. The governing partial differential equations were solved numerically using implicit Crank-Nicolson method. A parametric study was performed to illustrate the impact of visco-elastic parameter, radiation parameter, thermal conductivity parameter, magnetic parameter, Prandtl number on the velocity,temperature and concentration profiles.The results were presented graphically with tabular presentations of the skin-friction,rate of heat and mass transfer which were all computed and discussed for different values of parameters of the problem. The numerical results revealed that the visco- elastic of Kuvshinshiki fluid type is growing as concentration profile increases, while the velocity and temperature profile falls ,then the radiation and thermal conductivity were growing as velocity and temp...
An investigation was carried out on the numerical solution for thermal radiation effect on inclin... more An investigation was carried out on the numerical solution for thermal radiation effect on inclined magnetic field of magneto hydrodynamic (MHD) free convective heat transfer dissipative fluid flow past a moving vertical porous plate with variable suction. The dimensionless governing equations are formulated in (y*, t*) co-ordinates sysytem with appropriate boundary condition s and the radiative heat flux takes the Rosseland approximation. The equations are solved by using an implicit finite difference method of Crank-Nicolson type. The effects of various parameters on the velocity and temperature fields as well as the Coefficient of skin-friction and Nusselt number were presented graphically and in tabulated forms. It was observed that, when the radiation parameter increases, the velocity and temperature increases in the boundary layer. The effect of increasing values of Hartman number (M) which resulted in decrease in velocity distribution, while, increase in temperature across the boundary layer because of the application of transfer magnetic field which resulted in a restrictive type of force (Lorenz force) similar to drag force which tends to resist the fluid and this reducing its velocity. This model finds applications in geophiscs, metallurgic and also in the design of high temperature industrial processing systems.
ABSTRACT The three-dimensional Klein—Gordon equation is solved for the case of equal vector and s... more ABSTRACT The three-dimensional Klein—Gordon equation is solved for the case of equal vector and scalar second Pöschl—Teller potential by proper approximation of the centrifugal term within the framework of the asymptotic iteration method. Energy eigenvalues and the corresponding wave function are obtained analytically. Eigenvalues are computed numerically for some values of n and l. It is found that the results are in good agreement with the findings of other methods for short-range potential.
This work considered the unsteady hydromagnetic flow of an electrically conducting, incompressibl... more This work considered the unsteady hydromagnetic flow of an electrically conducting, incompressible, viscous fluid past an infinite vertical porous plate. The oscillatory suction velocity is normal to the plate. The uniform magnetic field influence is normal to the flow and the permeability of the medium is time dependent. The oscillatory suction velocity was defined so as to eliminate any complexity in the equations that were derived. The problem was solved using a modified technique of the Homotopy analysis method. The results obtained were discussed for various effects of material parameters on the velocity, temperature and concentration profiles.
Heat together with mass transfer of magnetohydrodynamics (MHD) non-Newtonian nanofluid flow over ... more Heat together with mass transfer of magnetohydrodynamics (MHD) non-Newtonian nanofluid flow over an inclined plate embedded in a porous medium with influence of thermophoresis and Soret-Dufour is studied. The novelty of this study is the combined effects of Soret, Dufour and thermophoresis with nanofluid flow on heat together with mass transfer. The flow is considered over an inclined plate embedded in a porous medium. Appropriate similarity transformations were used to simplify the governing coupled nonlinear partial differential equations into coupled nonlinear ordinary differential equations. A novel and accurate numerical method called spectral homotopy analysis method (SHAM) was used in solving the modelled equations. SHAM is the numerical version of the well-known homotopy analysis method (HAM). It involves the decomposition of the nonlinear equations into linear and nonlinear equations. The decomposed linear equations were solved using Chebyshev pseudospectral method. The findings revealed that the applied magnetic field gives rise to an opposing force which slows the motion of an electrically conducting fluid. Increase in the non-Newtonian Casson fluid parameter increases the skin friction factor and reduces the rate of heat and mass transfer. The present results are compared with existing work and found to be in good agreement.
Soret-Dufour effects on MHD heat and mass transfer of Walter's-B viscoelastic fluid over a semi-i... more Soret-Dufour effects on MHD heat and mass transfer of Walter's-B viscoelastic fluid over a semi-infinite vertical plate are considered. The equations of motion are set of partial differential equations; these are non-dimensionalized by introducing an appropriate non-dimensional quantity. The dimensionless equations along with the boundary conditions are solved numerically using the spectral relaxation method (SRM). All programs are coded in MATLAB R2012a. Results are presented in graphs, and numerical computations of the local skin friction, local Nusselt number and local Sherwood number are presented in a tabular form. The result revealed that as the viscoelastic parameter increases, the velocity profile close to the plate decreases but when far away from the plate, it increases slightly. The present results were found to be in good agreement with those of the existing literature.
An investigation was carried out on the numerical study of unsteady free convective heat transfer... more An investigation was carried out on the numerical study of unsteady free convective heat transfer in Walters-B viscoelastic flow over an inclined stretching sheet with heat source and magnetic field. The dimensionless governing equations are solved using an implicit finite difference method of Crank-Nicolson type. The effects of various parameters on the velocity and temperature fields as well as the coefficient of skin-friction and Nusselt number were presented graphically and in tabulated forms. It is observed that, when the heat source parameter increases, the velocity and temperature increase in the boundary layer.
An investigation was carried out on the numerical solution for thermal radiation effect on inclin... more An investigation was carried out on the numerical solution for thermal radiation effect on inclined magnetic field of magneto hydrodynamic (MHD) free convective heat transfer dissipative fluid flow past a moving vertical porous plate with variable suction. The dimensionless governing equations are formulated in (y*, t*) co-ordinates sysytem with appropriate boundary condition s and the radiative heat flux takes the Rosseland approximation. The equations are solved by using an implicit finite difference method of Crank-Nicolson type. The effects of various parameters on the velocity and temperature fields as well as the Coefficient of skin-friction and Nusselt number were presented graphically and in tabulated forms. It was observed that, when the radiation parameter increases, the velocity and temperature increases in the boundary layer. The effect of increasing values of Hartman number (M) which resulted in decrease in velocity distribution, while, increase in temperature across th...
An investigation was carried out on the radiation effect on unsteady heat and mass transfer of MH... more An investigation was carried out on the radiation effect on unsteady heat and mass transfer of MHD and dissipative fluid flow past a moving vertical porous plate with variable suction in the presence of heat generation and chemical reaction. The dimensionless governing equations for this model were solved analytically using perturbation method. The effects of various parameters on the velocity, temperature and concentration fields as well as the Coefficient of skin-friction, Nusselt number and Sherwood number were presented graphically and in tabulated forms. Keywords : Chemical reaction, Unsteady, Porous medium, MHD, Radiation, Mass transfer and Heat source
International Journal of Modeling, Simulation, and Scientific Computing
A mathematical model describing the epidemic interactions between humans and blackflies in the tr... more A mathematical model describing the epidemic interactions between humans and blackflies in the transmission of onchocerciasis is considered. In this model, the onchocerciasis infected human individuals are divided into two classes of infected humans with high and low microfilarial output incorporating saturated treatment function, which caters for high saturation of onchocerciasis disease. We analyze the model feasible region and obtain the basic reproduction number [Formula: see text] using the next generation matrix method. Also, we obtain the onchocerciasis-free and onchocerciasis endemic equilibrium solutions and show that if [Formula: see text] is less than unity, the onchocerciasis-free equilibrium is locally and globally asymptotically stable. Furthermore, we employed a Lyapunov function to analyze the global asymptotic stability of the onchocerciasis — endemic equilibrium whenever [Formula: see text] is greater than unity. In addition, data on mass drug distribution of iverm...
Abstract. This papers deals with the influence of variable viscosity on laminar magneto hydrodyna... more Abstract. This papers deals with the influence of variable viscosity on laminar magneto hydrodynamic thermal oscillatory flow past a limiting surface with variable suction. It considers two dimensional hydro magnetic flow of a viscous incompressible and electrically conducting fluid, past a limiting surface in the presence of a transverse magnetic field. The induced magnetic H = [Hx ′, Hy ′, 0] and x ′ − axis is chosen along the surface in the direction of the flow and y ′ − axis is taken normal to the limiting surface. Approximate solutions are obtained for the expression for velocity, induced magnetic and temperature when the magnetic Prandtl number Pm = 1, Prandtl number P = 7 and the magnetic parameter M < 1. We observed that an increase in variable parameter leads to an increase in temperature and velocity; where as, an increase in the variable parameter leads to decrease in the induced magnetic field. These observations are presented in tables.
The effect of chemical reaction on MHD oscillatory flow through a vertical porous plate with heat... more The effect of chemical reaction on MHD oscillatory flow through a vertical porous plate with heat generation was studied.The dimensionless governing equations for this model were solved by a closed analytical form. The influence of various parameters on the velocity,temperature and concentration fields as well as the Coefficient of skin-friction number were presented graphically and qualitatively.
In this paper, the Cattaneo-Christov heat flux relocation paradox on Casson fluid with MHD and di... more In this paper, the Cattaneo-Christov heat flux relocation paradox on Casson fluid with MHD and dissipative effects was considered. The buoyancy and heat generation effects were believed to be responsible for the natural convection, while variable properties were perceived as temperaturedependent linear function. Under the given assumptions, the governing system of equations was formulated and transformed. Hence, the Chebyshev collocation spectral approach was therefore employed to achieve an approximate solution. However, the behaviour of temperaturedependent variability establishes the relationship between the boundary layer flow of plastic dynamic viscosity and the Casson fluid. Furthermore, it was observed that a corresponding increase in the stretching index (n) increases the skin friction and decreases the energy and mass gradient accordingly. The relocation phenomenon contributes to a decrease in the thermal process, while the temperature gradient attained maximum within (0.4 − 0.6) variation of the Casson parameter.
Heat together with mass transfer of magnetohydrodynamics (MHD) non-Newtonian nanofluid flow over ... more Heat together with mass transfer of magnetohydrodynamics (MHD) non-Newtonian nanofluid flow over an inclined plate embedded in a porous medium with influence of thermophoresis and Soret-Dufour is studied. The novelty of this study is the combined effects of Soret, Dufour and thermophoresis with nanofluid flow on heat together with mass transfer. The flow is considered over an inclined plate embedded in a porous medium. Appropriate similarity transformations were used to simplify the governing coupled nonlinear partial differential equations into coupled nonlinear ordinary differential equations. A novel and accurate numerical method called spectral homotopy analysis method (SHAM) was used in solving the modelled equations. SHAM is the numerical version of the well-known homotopy analysis method (HAM). It involves the decomposition of the nonlinear equations into linear and nonlinear equations. The decomposed linear equations were solved using Chebyshev pseudospectral method. The fin...
The effects of Kuvshinshiki fluid on Magnetohydrodynamic (MHD) heat and mass transfer flow over a... more The effects of Kuvshinshiki fluid on Magnetohydrodynamic (MHD) heat and mass transfer flow over a vertical porous plate with chemical reaction of nth order and thermal conductivity was carried out. The governing partial differential equations were solved numerically using implicit Crank-Nicolson method. A parametric study was performed to illustrate the impact of visco-elastic parameter, radiation parameter, thermal conductivity parameter, magnetic parameter, Prandtl number on the velocity,temperature and concentration profiles.The results were presented graphically with tabular presentations of the skin-friction,rate of heat and mass transfer which were all computed and discussed for different values of parameters of the problem. The numerical results revealed that the visco- elastic of Kuvshinshiki fluid type is growing as concentration profile increases, while the velocity and temperature profile falls ,then the radiation and thermal conductivity were growing as velocity and temp...
An investigation was carried out on the numerical solution for thermal radiation effect on inclin... more An investigation was carried out on the numerical solution for thermal radiation effect on inclined magnetic field of magneto hydrodynamic (MHD) free convective heat transfer dissipative fluid flow past a moving vertical porous plate with variable suction. The dimensionless governing equations are formulated in (y*, t*) co-ordinates sysytem with appropriate boundary condition s and the radiative heat flux takes the Rosseland approximation. The equations are solved by using an implicit finite difference method of Crank-Nicolson type. The effects of various parameters on the velocity and temperature fields as well as the Coefficient of skin-friction and Nusselt number were presented graphically and in tabulated forms. It was observed that, when the radiation parameter increases, the velocity and temperature increases in the boundary layer. The effect of increasing values of Hartman number (M) which resulted in decrease in velocity distribution, while, increase in temperature across the boundary layer because of the application of transfer magnetic field which resulted in a restrictive type of force (Lorenz force) similar to drag force which tends to resist the fluid and this reducing its velocity. This model finds applications in geophiscs, metallurgic and also in the design of high temperature industrial processing systems.
ABSTRACT The three-dimensional Klein—Gordon equation is solved for the case of equal vector and s... more ABSTRACT The three-dimensional Klein—Gordon equation is solved for the case of equal vector and scalar second Pöschl—Teller potential by proper approximation of the centrifugal term within the framework of the asymptotic iteration method. Energy eigenvalues and the corresponding wave function are obtained analytically. Eigenvalues are computed numerically for some values of n and l. It is found that the results are in good agreement with the findings of other methods for short-range potential.
This work considered the unsteady hydromagnetic flow of an electrically conducting, incompressibl... more This work considered the unsteady hydromagnetic flow of an electrically conducting, incompressible, viscous fluid past an infinite vertical porous plate. The oscillatory suction velocity is normal to the plate. The uniform magnetic field influence is normal to the flow and the permeability of the medium is time dependent. The oscillatory suction velocity was defined so as to eliminate any complexity in the equations that were derived. The problem was solved using a modified technique of the Homotopy analysis method. The results obtained were discussed for various effects of material parameters on the velocity, temperature and concentration profiles.
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Papers by Amos Idowu