Department of Mathematical Sciences

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Couple Stress Fluid Flow with Variable Properties: A Second Law Analysis
(Wiley Math Meth Appl Sci., 2019) Adesanya, Samuel
The present work examines the combined influence of variable thermal conductivity and viscosity on the irreversibility rate in couple stress fluid flow in between asymmetrically heated parallel plates. The dimensionless fluid equations are solved by using homotopy analysis method (HAM) and validated with Runge‐Kutta shooting method (RKSM). The convergent series solution is then used for the irreversibility analysis in the flow domain. The effects of thermal conductivity and viscosity variation parameters, couple stress parameter, Reynolds number, Grashof number, Hartmann number on the velocity profile, temperature distribution, entropy production, and heat irreversibility ratio are presented through graphs, and salient features of the solutions are discussed. The computations show that the entropy production rate decreases with increased magnetic field and thermal conductivity parameters, whereas it rises with increasing values of couple stress parameter, Brinkman number, viscosity variation parameter, and Grashof number. The study is relevant to lubrication theory.
Double-Diffusivity Heat Generation Effects on Bioconvection Process Embedded in a Vertical Porous Surface with Variable Fluid Properties
(Journal of Thermal Analysis and Calorimetry, 2020) Adesanya, Samuel
The present paper concerns the bioconvective flow, mass and heat transfer including motile microorganisms on a vertical surface saturated with porous materials of variable porosity. Because of variable porosity, other fluid properties are assumed to be porosity-dependent. The physical laws that govern the fluid flow and microorganism concentration are modeled into a set of coupled partial differential equations and simplified into corresponding nonlinear ordinary differential equations with similarity variables. Numerical solutions are obtained using in-built functions in Maple 14.0 to ease the hardship connected with computational complexity in the nonlinear problem. Graphical solutions of the symbolic results are presented and fully explained in accordance with the physics of the fluid for the velocity, temperature, concentration and motile microorganism density profiles for uniform and variable permeability and also in porous, non-porous cases. Mixed convective parameter λ has pronounced effect on heat mass and motile microorganism transfer rate in case variable permeability with porous surface.
Effects of Couple Stresses on Entropy Generation Rate in a Porous Channel with Convective Heating
(Springer Comp. Appl. Math., 2015) Adesanya, Samuel
This paper investigates the effect of couple stresses on the entropy generation rate of an incompressible viscous fluid through a porous channel with convective heating at the walls. Semi analytical solutions of the dimensionless momentum and energy equations are obtained using the rapidly convergent modified Adomian decomposition method. The approximate solutions are used to compute the entropy generation numbers, irreversibility distribution ratio and the Bejan number in the flow field. The effects of various flow parameters on the velocity and temperature are discussed and shown graphically
Entropy Generation Analysis for a Reactive Couple Stress Fluid Flow through a Channel Saturated with Porous Material
(ELSEVIER Energy, 2015) Adesanya, Samuel
In this work, the second law analysis for a reactive couple stress fluid flowing steadily through a channel filled with porous material is investigated. Based on perturbation method, analytical expressions for fluid velocity and temperature are derived and used to compute entropy generation rate, irreversibility distribution ratio in the flow field and results are presented graphically and discussed.
Entropy Generation Analysis for a Thin Couple Stress Film Flow over an Inclined Surface with Newtonian Cooling
(Elsevier Physica A, 2019) Adesanya, Samuel
In this article, a computational approach to monitor entropy production in a fully developed gravity-driven couple stress film flow on an inclined heated surface subjected to convective cooling is examined. The free end of the thin film is maintained in a manner that follows the Newtonian law of cooling. Exact solutions of the dimensionless boundary-value problems (BVP) are obtained and utilized for the entropy expression and the heat irreversibility ratio along the heated plate. The effects of pertinent parameters on the flow and thermal build up are shown graphically and explained based on physical laws. Most importantly, the rate of heat transfer is shown to be a decreasing function of the couple stress inverse while the skin friction remains constant along the heated wall. The present computation is relevant in coating and drying processes and several metallurgical engineering.
Entropy Generation Analysis for Variable Viscous Couple Stress Fluid Flow through a Channel with Non-Uniform Wall Temperature
(Alexandria Engineering Journal, 2016) Adesanya, Samuel
This article addresses the influence of couple stresses in minimizing of entropy generation rate associated with heat transfer irreversibility in the steady flow of a variable viscous fluid through a channel with a non-uniform wall temperature. The flow is induced by a constant axial pressure gradient applied in the flow direction. It is assumed that the fluid viscosity varies linearly with tem perature. Analytical expressions for the dimensionless equations governing the fluid velocity and temperature are derived and used to obtain expressions for volumetric entropy generation numbers, irreversibility distribution ratio and the Bejan number in the flow field. Plots for different pertinent parameters entering the velocity and temperature fields are displayed and discussed.
Entropy Generation in Couple Stress Fluid Flow through Porous Channel with Fluid Slippage
(Int. J. Exergy, 2014) Adesanya, Samuel
In this paper, entropy generation in couple stress fluid flowing steadily through a porous channel with slip at the isothermal walls is considered. The Navier slip model is employed at both walls. Analytical solutions for the governing nonlinear boundary-value problems are constructed using Adomian decomposition method (ADM). Important flow properties are presented and discussed including the entropy generation and irreversibility ratio.
Entropy Generation on MHD Flow of a Casson Fluid over a Curved Stretching Surface with Exponential Space‐Dependent Heat Source and Nonlinear Thermal Radiation
(Heat Transfer, 2022) Adesanya, Samuel
The present model concentrates on entropy generation on a steady incompressible flow of a Casson liquid past a permeable stretching curve surface through chemical reaction and magnetic field effects. The exponential space‐dependent heat source cum heat and mass convective boundary conditions are accounted for. The resulting nonlinear boundary layer model is simplified by the transformation of similarity. Chebyshev spectral technique is involved for obtaining numerical results of the converted system of the mathematical models. Behavior of the determining thermo‐physical parameters on the profiles of velocity, temperature, concentration, skin friction, heat, mass transfer rate, rate of entropy generation, and finally the Bejan number are presented. The major point of the present investigation show that the curvature term weakens the mass transfer profile as the fluid temperature reduces all over the diffusion regime. A decrease in heat generation strengthens the species molecular bond, which prevents free Casson particle diffusion. Furthermore, the mass transfer field diminishes in suction and injection flow medium
Evaluation of Heat Irreversibility in a Thin Film Flow of Couple Stress Fluid on a Moving Belt
(Hindawi Advances in Mathematical Physics, 2018) Adesanya, Samuel
Evaluation of Heat Irreversibility in Couple Stress Falling Liquid Films along Heated Inclined Substrate
(Journal of Cleaner Production, 2019) Adesanya, Samuel
In the present work, the analysis of entropy generation in a gravity-aided thin couple stress liquid film in an inclined heated substrate is investigated. The thin substrate layer is assumed to be porous and governed by Darcy law. Exact solutions of the dimensionless field equations are obtained and used to determine the rate of entropy is produced along the inclined plate. Velocity, temperature, entropy generation and Bejan profiles are presented for different parameter cases. The result of the analysis revealed the significance of both slip and porous permeability parameters on entropy generation rate and the effects of both modified Navier slip and porous permeability parameters on the entropy generation rate turns out to be large at the free surface of the porous substrate and must be controlled for sustainable and efficient production.
Free Convective Flow of Heat Generating Fluid through a Porous Vertical Channel with Velocity Slip and Temperature Jump
(Ain Shams Engineering Journal, 2015) Adesanya, Samuel
This paper investigates the unsteady free convective flow of heat generating/absorbing fluid through a porous vertical channel with velocity slip and temperature jump. Exact solution of the oscillatory flow problem is obtained in the slip flow regime through a microchannel. The effects of various flow parameters on the temperature and velocity profiles together with the influence of the velocity slip and temperature jump on the rate of heat transfer and the skin friction are presented and discussed.
Heat Irreversibility Analysis for a Couple Stress Fluid Flow in an Inclined Channel with Isothermal Boundaries
(Elsevier Journal of the Taiwan Institute of Chemical Engineer, 2019) Adesanya, Samuel
: Entropy generation in a fully developed couple stress fluid flow through an inclined channel is the focus of the present article. The steady flow of the non-Newtonian fluid via the inclined channel is assumed to be heated isothermally at the boundaries. The formulation of both the fluid flow and heat are based on hydrodynamics and thermodynamics laws. Exact solutions are constructed the dimensionless governing equations. The accuracy of the two solutions are established by direct comparison with the limiting case previously obtained in the current literature. Solution profiles are also presented to demonstrate the effect of variations in the parameter values followed closely by extensive discussions.
Heat Transfer to Magnetohydrodynamic Non-Newtonian Couple Stress Pulsatile Flow between Two Parallel Porous Plates
(Verlag der Zeitschrift fur Naturforschung, Tubingen, 2012) Adesanya, Samuel
Hydromagnetic Natural Convection Flow between Vertical Parallel Plates with Time-Periodic Boundary Conditions
(ELSEVIER Journal of Magnetism and Magnetic Materials, 2015) Adesanya, Samuel
In this paper, the free convective flow of magnetohydrodynamic fluid through a channel with time periodic boundary condition is investigated by taking the effects of Joule dissipation into consideration. Based on simplifying assumptions, the coupled governing equations are reduced to a set of nonlinear boundary valued problem. Approximate solutions are obtained by using semi-analytical Adomian decomposition method. The effect of pertinent parameters on the fluid velocity, temperature distribution, Nusselt number and skin friction are presented graphically and discussed. The result of the computation shows that an increase in the magnetic field intensity has significant influence on the fluid flow.
Influence of Temperature-dependent Properties on a Gravity-driven Thin Film along Inclined Plate
(Nonlinear Engineering, 2020) Adesanya, Samuel
A numerical investigation into the effect of temperature-dependent fluid properties on the thin film flow along an inclined heated plate is presented. The equations governing the coupled flow and heat transfer are formulated based on couple stress non-Newtonian model. Solutions of the coupled nonlinear differential equations are tackled numerically by using the combination of shooting method and the Fehlberg-Runge-Kutta method. Findings are presented graphically and discussed precisely
Initial-Boundary-Value Problem of Hyperbolic Equations for Viscous Blood Flow through a Tapered Vessel
(Journal of the Nigerian Mathematical Society, 2014) Adesanya, Samuel
In this paper, the effect of viscosity on blood flow through a tapered artery is studied. Approximate solutions of the coupled nonlinear partial differential equations that model the viscous blood a complaint artery are obtained using Adomian decomposition method (ADM). The convergence and parametric study of the solution are presented and discussed including shock development. The result of the computation shows that viscosity has significant influence on blood flow
Irreversibility Analysis for a Thin Film of Third-Grade Fluid over Heated Incline Plate
(Transactions of the Nigerian Association of Mathematical Physics, 2021) Adesanya, Samuel
The present article investigates the effect of flow and heat transfer characteristics of a thin layer of third grade fluid that is flowing steadily over a heated incline plate. The mathematical formulations for the physical system are based on the combination of momentum together with heat conservation laws that forms the theoretical framework for the present investigation. The exact solutions of the dimensionless nonlinear problems are obtained and valid for both small and large parameter values. The effects of viscous dissipation and heat transfer are balanced in the energy equation and play a major role in the entropy generation procedure. The result of the mathematical analysis revealed the significance of thermal effects together with the entropy built-up due to incomplete energy conversion.
Irreversibility Analysis for Reactive Third-Grade Fluid Flow and Heat Transfer with Convective Wall Cooling
(Alexandria Engineering Journal, 2017) Adesanya, Samuel
Inherent irreversibility in the flow of a reactive third grade fluid though a channel with convective heating is examined. It is well known that heat dissipated from the exothermic chemical reaction passes through fluid in an irreversible manner and as a result entropy is generated contin uously within the channel. Analytical solutions of the resulting dimensionless nonlinear boundary value-problems arising from the governing equations were obtained by using perturbation method. These solutions are utilized to obtain the entropy generation rate and Bejan number for the system. The influence of various important parameters on the entropy generation rate and Bejan number are shown graphically and discussed accordingly.
Irreversibility Analysis in a Couple Stress Film Flow Along an Inclined Heated Plate with Adiabatic Free Surface
(ELSEVIER Physica A, 2015) Adesanya, Samuel
In this work, an analytical study of inherent irreversibility in the thin film flow of a viscous incompressible couple stress fluid down an inclined heated channel with adiabatic free surface is investigated. It is assumed that the fluid viscosity varies exponentially with temperature. Analytical expressions for fluid velocity and temperature are derived and used to compute entropy generation rate, irreversibility distribution ratio in the flow field and results are presented graphically and discussed.
Irreversibility Analysis in Micropolar Fluid Film along an Incline Porous Substrate with Slip Effects
(Elsevier International Communications in Heat and Mass Transfer, 2021) Adesanya, Samuel
The current article examined the semi-analytical solution for the rate of entropy generation in a steady, gravitydriven thin film flow of a micropolar fluid descending over a heated inclined substrate with slip constraints. A comprehensive semi-analytical approach (differential transformation method (DTM)) was instrumental in obtaining the solution of the nonlinear governing model. The characteristics of velocity, angular velocity, heat balance, entropy generation, skin-friction, wall couple stress, Nusselt number and Bejan number have been deliberated under the influence of involved flow controlling physical parameters. The outcomes of the present study shows that an incline in values of Microrotation parameter declines the velocity gradient and inclines thermal, dimensionless Bejan number and entropy generation profiles.

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