Browsing by Author "Bonyah, Ebenezer"

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A theoretical model for Zika virus transmission
(PLoS ONE, 2017-10-04) Bonyah, Ebenezer; Khan, Muhammad Altaf; Okosun, K.O; Islam, Saeed
In this paper, we present and analyze an SEIR Zika epidemic model. Firstly, we investigate the model with constant controls. The steady states of the model is found to be locally and globally asymptotically stable. Thereafter, we incorporate time dependent controls into the model in order to investigate the optimal effects of bednets, treatments of infective and spray of insecticides on the disease spread. Furthermore, we used Pontryagin’s Maximum Principle to determine the necessary conditions for effective control of the disease. Also, the numerical results were presented
Darcy-Forchheimer flow of MHD nanofluid thin film flow with Joule dissipation and Navier’s partial slip
(Purpose-Led Publishing, 2018-11-14) Jawad, Muhammad; Shah, Zahir; Islam, Saeed; Bonyah, Ebenezer; Khan, Aurang Zeb
In this paper investigation is carried out on two dimensional liquid film with heat generation/ absorption and variable heat transmission of nanofluid MHD flow on an unsteady stretching sheet. Flow of nanofluid phenomenon is model from the basic governing time-dependent equations. By the use of suitable similarity transformation, these basic equations are transformed to differential equations system. The nanofluid is supposed to slip along the boundary of the sheet. To find the solution of the transformed modeled equations Homotopy Analysis technique is used. A numerical survey is presented for the convergence of the implemented technique. Effects of variations of different influential parameters like Nunumber and Cfx for fluid flow of liquid film with mass and heat transfer is observed. The effect of unsteadiness parameter S over thin film is explored analytically for different values. It is investigated that for large values of Mthatthenano fluid films velocity distribution decreases, where increase in the value of K1, are duction in the porous medium permeability. Thickness of thermal boundary layer decreases with increasing values of S, while increase of radiation parameter, the Nusselt number also increases. Furthermore, the embedded parameters used for comprehension of the physical presentation, like inertial parameter F1, magnetic parameter M, permeability parameter K1, Eckert number Ec, Prandtl number Pr, and parameters ε1, ε2 and γ has been presented by graphs and discussed in detail.
Double-layer optical fiber coating analysis in MHD flow of an elastico-viscous fluid using wet-on-wet coating process
(Elsevier, 2016-12-05) Khan, Zeeshan; Islam, Saeed; Shah, Rehan Ali; Khan, Muhammad Altaf; Bonyah, Ebenezer; Jan, Bilal; Khan, Aurangzeb
Modern optical fibers require a double-layer coating on the glass fiber in order to provide protection from signal attenuation and mechanical damage. The most important plastic resins used in wires and optical f ibers are plastic polyvinyl chloride (PVC) and low and high density polyethylene (LDPE/HDPE), nylon and Polysulfone. One of the most important things which affect the final product after processing is the design of the coating die. In the present study, double-layer optical fiber coating is performed using melt poly mer satisfying Oldroyd 8-constant fluid model in a pressure type die with the effect of magneto hydrodynamic (MHD). Wet-on-wet coating process is applied for double-layer optical fiber coating. The coating process in the coating die is modeled as a simple two-layer Couette flow of two immiscible f luids in an annulus with an assigned pressure gradient. Based on the assumptions of fully developed laminar and MHD flow, the Oldroyd 8-constant model of non-Newtonian fluid of two immiscible resin layers is modeled. The governing nonlinear equations are solved analytically by the new technique of Optimal Homotopy Asymptotic Method (OHAM). The convergence of the series solution is established. The results are also verified by the Adomian Decomposition Method (ADM). The effect of important parameters such as magnetic parameter Mi, the dilatant constant a, the Pseodoplastic constant b, the radii ratio d, the pressure gradient X, the speed of fiber optics V, and the viscosity ratio j on the velocity profiles, thickness of coated fiber optics, volume flow rate, and shear stress on the fiber optics are inves tigated. At the end the result of the present work is also compared with the experimental results already available in the literature by taking non-Newtonian parameters tends to zero. 2016 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY-NC-ND
Heat and mass transfer together with hybrid nanofluid flow over a rotating disk
(AIP Advances, 2020-05-20) Tassaddiq, Asifa; Khan, Sadam; Bilal, Muhammad; Gul, Taza; Mukhtar, Safyan; Shah, Zahir; Bonyah, Ebenezer
This article explores an incompressible hybrid nanofluid flow over an infinite impermeable rotating disk. The influence of a magnetic field has been added to better examine the fine point of nanoliquid flow. The main purpose of this work is to enhance our understanding of the exhaustion of energy in industrial and engineering fields. This study is mainly concerned with the von Kármán traditional flow of a rotating disk, involving carbon nanotubes (CNTs) and magnetic ferrite nanoparticles together with a carrier fluid such as water. The nonlinear system of differential equations is transformed to the dimensionless ordinary differential equation by using an appropriate similarity framework, which is further treated with the “homotopy analysis method” for the analytic solution. A mathematical calculation is provided to prove and illustrate why the hybrid nanofluids are advantageous as far as the heat transfer enhancement is concerned. Although the physical features highly rely on CNTs and iron oxide nanoparticles, it is concluded that the heat and mass transfer rate is greatly enhanced by the addition of CNTs and Fe3O4 nanofluids. By increasing the velocity of disk rotation, fluid temperature and velocity are significantly increased. The use of CNT + Fe3O4/H2O influences the performance of thermophysical characteristics of carrier fluids more compared to magnetic ferrite nanomaterials. © 2020 Author(s). All article content, except where otherwise noted, is licensed under a Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/). https://doi.org/10.1063/5.0010181.,
Mathematical modeling of Zika virus
(Elsevier, 2016-08-23) Bonyah, Ebenezer; Okosun, Kazeem Oare
Zika virus (ZIKV) mathematical model is formulated. Optimal control strategies are introduced into the model. The basic properties of the model without control strategies are determined including the reproduction number. Pontryagin’s maximum principle is used to characterize the necessary conditions for optimal control of ZIKV. The preventive and treatment strategy without spraying the mosquitoes showed a great reduction in infected humans, however no significant reduction in the infected mosquitoes population. The use of preventive and insecticide techniques to minimize the spread of the virus showed a greater significance in the reduction of both infected humans and mosquitoes. The application of preventive, treatment and insecticide showed the best way of reducing the spread of ZIKV. The best strategy to minimize the spread of ZIKV is to use prevention, treatment and insecticide as control strategy at the same time.
New aspects of poor nutrition in the life cycle within the fractional calculus
(Springer, 2018) Baleanu, Dumitru; Jajarmi, Amin; Bonyah, Ebenezer; Mojtaba Hajipou
The nutrition of pregnant women is crucial for giving birth to a healthy baby and even for the health status of a nursing mother. In this paper, the poor nutrition in the life cycle of humans is explored in the fractional sense. The proposed model is examined via the Caputo fractional operator and a new one with Mittag–Leffler (ML) nonsingular kernel. The stability analysis as well as the existence and uniqueness of the solution are investigated, and an efficient numerical scheme is also designed for the approximate solution. Comparative numerical analysis of these two operators reveals that the model based on the new fractional derivative with ML kernel has a different asymptotic behavior to the classic Caputo. Thus, the new aspects of fractional calculus provide more flexible models which help us to adjust the dynamical behaviors of the real-world phenomena better.
The electrical MHD and Hall current impact on micropolar nanofluid f low between rotating parallel plates
(Elsevier, 2018-02-02) Shah, Zahir; Islam, Saeed; Gul, Taza; Bonyah, Ebenezer; Khan, Muhammad Altaf
The current research aims to examine the combined effect of magnetic and electric field on micropolar nanofluid between two parallel plates in a rotating system. The nanofluid flow between two parallel plates is taken under the influence of Hall current. The flow of micropolar nanofluid has been assumed in steady state. The rudimentary governing equations have been changed to a set of differential nonlinear and coupled equations using suitable similarity variables. An optimal approach has been used to acquire the solution of the modelled problems. The convergence of the method has been shown numerically. The impact of the Skin friction on velocity profile, Nusslet number on temperature profile and Sherwood number on concentration profile have been studied. The influences of the Hall currents, rotation, Brownian motion and thermophoresis analysis of micropolar nanofluid have been mainly focused in this work. Moreover, for comprehension the physical presentation of the embedded parameters that is, cou pling parameter N1 , viscosity parameter Re, spin gradient viscosity parameter N2, rotating parameter Kr, Micropolar fluid constant N3, magnetic parameter M, Prandtl number Pr, Thermophoretic parameter Nt, Brownian motion parameter Nb, and Schmidt number Sc have been plotted and deliberated graphically. 2018 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/)