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Magnetohydrodynamic flow and heat transfer impact on Zno-SAE50 nanolubricant flow over an inclined rotating disk

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Journal of Central South University 2019年第5期26卷 1146-1160页

作者： NAYAK M K MEHMood Rashid makinde o d MAHIAN o CHAMKHA Ali J department of Physics Radhakrishna Institute of Technology and EngineeringBhubaneswar-752057India department of Mathematics Faculty of Natural ScienceHITEC University Taxila-47070Pakistan Faculty of Military Science Stellenbosch UniversityPrivate Bag X2Saldanha 7395South Africa Center for Advanced Technologies Ferdowsi University of MashhadMashhadIran School of Aeronautic Science and Engineering Beihang UniversityBeijing 100191China Mechanical Engineering department Prince Sultan Endowment for Energy and EnvironmentPrince Mohammad Bin Fahd UniversityAl-Khobar 31952Saudi Arabia RAK Research and Innovation Center American University of Ras Al KhaimahP.O.Box 10021Ras Al KhaimahUnited Arab Emirates

The present article has been fine-tuned with the investigation of mixed convection darcy-Forchheimer flow of Zno-SAE50 oil nanolubricant over an inclined rotating disk under the influence of uniform applied magnetic field applied to various *** current study has been enriched with additional consideration of slip flow,thermal radiation,viscous dissipation,Joulian dissipation and internal *** view of augmentation of thermal conductivity of nanolubricant,a new micro-nano-convection model namely Patel model has been *** specialty of this model involves the effects of specific surface area and nano-convection due to Brownian motion of nanoparticles,kinetic theory based micro-convection,liquid layering and particle *** transformed governing equations have been solved numerically by using Runge-Kutta-Fehlberg *** analysis of the present study has shown that applied magnetic field,porosity of the medium,velocity slip and inertia coefficient account for the slowing down of radial as well as tangential flow of Zno-SAE50 oil nanolubricant,thereby leading to an improvement in velocity and thermal boundary layers.

关键词： Zno-SAE50 nanofluid darcy-Forchheimer MHd flow thermal radiation velocity slip viscous dissipation internal heating

Analysis of Sakiadis flow of nanofluids with viscous dissipation and Newtonian heating

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Applied Mathematics and Mechanics(English Edition) 2012年第12期33卷 1545-1554页

作者： o.d.makinde Institute for Advance Research in Mathematical Modelling and Computations Cape Peninsula University of TechnologyP.O.Box 1906Bellville 7535South Africa

The combined effects of viscous dissipation and Newtonian heating on bound- ary layer flow over a moving flat plate are investigated for two types of water-based New- tonian nanofluids containing metallic or nonmetallic nanoparticles such as copper （Cu） and titania （Ti02）. The governing partial differential equations are transformed into ordinary differential equations through a similarity transformation and are solved numer- ically by a Runge-Kutta-Fehlberg method with a shooting technique. The conclusions are that the heat transfer rate at the moving plate surface increases with the increases in the nanoparticle volume fraction and the Newtonian heating, while it decreases with the increase in the Brinkmann number. Moreover, the heat transfer rate at the moving plate surface with Cu-water as the working nanofiuid is higher than that with Tio2-water.

关键词： Sakiadis flow nanofluid viscous dissipation Newtonian heating

Viscoelastic modeling of the diffusion of polymeric pollutants injected into a pipe flow

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Acta Mechanica Sinica 2013年第2期29卷 166-178页

作者： T.Chinyoka o.d. makinde Center for Research in Computational and Applied Mechanics University of Cape Town Institute for Advanced Research in Mathematical Modeling and Computations Cape Peninsula University of Technology

This study focuses on the transient analysis of nonlinear dispersion of a polymeric pollutant ejected by an external source into a laminar pipe flow of a Newtonian liquid under axi-symmetric *** influence of density variation with pollutant concentration is approximated according to the Boussinesq approximation and the nonlinear governing equations of momentum,pollutant concentration are obtained together with and oldroyd-B constitutive model for the polymer *** problem is solved numerically using a semi-implicit finite difference *** are presented in graphical form for various parameter values and given in terms of fluid velocity,pollutant concentration,polymer stress components,skin friction and wall mass transfer *** model can be a useful tool in understanding the dynamics of industrial pollution situations arising from improper discharge of hydrocarbon pollutants into,say,water *** model can also be quite useful for available necessary early warning methods for detecting or predicting the scale of pollution and hence help mitigate related damage downstream by earlier instituting relevant decontamination measures.

关键词： Axi-symmetric flow·Polymeric pollutant dispersion·oldroyd-B model Buoyancy forces·Semi-implicit finite difference method

on Inherent Irreversibility in a Reactive Hydromagnetic Channel Flow

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Journal of Thermal Science 2010年第1期19卷 72-79页

作者： o.d.makinde o.Anwar Bég Faculty of Engineering Cape Peninsula University of TechnologyP.O.Box 1906Bellville 7535South Africa. Mechanical Engineering department Harmer BuildingSheffield Hallam UniversitySheffieldS1 1WB EnglandUK.

This study is devoted to investigate the inherent irreversibility and thermal stability in a reactive electrically conducting fluid flowing steadily through a channel with isothermal walls under the influence of a transversely imposed magnetic *** a perturbation method coupled with a special type of Hermite-Pade' approximation technique,the simplified governing non-linear equation is solved and the important properties of overall flow structure including velocity field,temperature field and thermal criticality conditions are derived which essentially expedite to obtain expressions for volumetric entropy generation numbers,irreversibility distribution ratio and the Bejan number in the flow field.

关键词： Hydromagnetic channel flow Entropy analysis Thermal criticality Arrhenius kinetics Hermite-Pade approximants

Thermodynamic analysis for a third grade fluid through a vertical channel with internal heat generation

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Journal of Hydrodynamics 2015年第2期27卷 264-272页

作者： AdESANYA Samuel o. makinde oluwole d. department of Mathematical Sciences Redeemer's University Faculty of Military Science Stellenbosch University

This paper makes the thermodynamic analysis in forced convective flow of a third grade fluid through a vertical channel. due to the reactive nature of the fluid, the effect of internal heat generation is considered and assumed to be a linear function of temperature. The coupled nonlinear dimensionless ordinary differential equations governing the fluid flow are solved by using the Adomian decomposition method（AdM）. The effects of various physical parameters such as third grade material parameter, buoyancy parameter and heat generation parameter on the thermal structure of flow are presented and discussed.

关键词： energy conservation vertical channel third grade fluid internal heat generation Adomian decomposition method(AdM)

Entropy analysis of unsteady magneto-nanofluid flow past accelerating stretching sheet with convective boundary condition

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Applied Mathematics and Mechanics(English Edition) 2015年第12期36卷 1593-1610页

作者： S.dAS S.CHAKRABoRTY R.N.JANA o.d.makinde department of Mathematics University of Gour Banga department of Applied Mathematics Vidyasagar University Faculty of Military Science Stellenbosch University

The unsteady laminar magnetohydrodynamics （MHd） boundary layer flow and heat transfer of nanofluids over an accelerating convectively heated stretching sheet are numerically studied in the presence of a transverse magnetic field with heat source/sink The unsteady governing equations are solved by a shooting method with the Runge-Kutta- Fehlberg scheme. Three different types of water based nanofluids, containing copper, aluminium oxide, and titanium dioxide, are taken into consideration. The effects of the pertinent parameters on the fluid velocity, the temperature, the entropy generation num- ber, the Bejan number, the shear stress, and the heat transfer rate at the sheet surface are graphically and quantitatively discussed in detail. A comparison of the entropy generation due to the heat transfer and the fluid friction is made with the help of the Bejan number. It is observed that the presence of the metallic nanoparticles creates more entropy in the nanofluid flow than in the regular fluid flow.

关键词： unsteady MHd flow nanofluid heat source/sink entropy generation Bejan number

Numerical Study of Unsteady MHd Flow and Entropy Generation in a Rotating Permeable Channel with Slip and Hall Effects

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Communications in Theoretical Physics 2018年第11期69卷 641-650页

作者： Z.H.Khan o.d.makinde R.Ahmad W.A.Khan State Key Laboratory of Hydraulics and Mountain River Engineering College of Water Resource & HydropowerSichuan University Key Laboratory of Advanced Reactor Engineering and Safety Ministry of Education Tsinghua University Faculty of Military Science Stellenbosch University School of Mathematics and Physics University of Queensland Faculty of Engineering Sciences GIK Institute of Engineering Sciences and Technology department of Mechanical Engineering College of Engineering Prince Mohammad Bin Fahd University

This article investigates an unbiased analysis for the unsteady two-dimensional laminar flow of an incompressible, electrically and thermally conducting fluid across the space separated by two infinite rotating permeable *** influence of entropy generation, Hall and slip effects are considered within the flow analysis. The problem is modeled based on valid physical arguments and the unsteady system of dimensionless PdEs (partial differential equations) are solved with the help of Finite difference Scheme. In the presence of pertinent parameters, the precise movement of the flow in terms of velocity, temperature, entropy generation rate, and Bejan numbers are presented graphically, which are parabolic in nature. Streamline profiles are also presented, which exemplify the accurate movement of the flow. The current study is one of the infrequent contributions to the existing literature as previous studies have not attempted to solve the system of high order non-linear PdEs for the unsteady flow with entropy generation and Hall effects in a permeable rotating channel. It is expected that the current analysis would provide a platform for solving the system of nonlinear PdEs of the other unexplored models that are associated to the two-dimensional unsteady flow in a rotating channel.

关键词： unsteady flow rotating permeable channel MHd slip hall effects entropy analysis finite difference method

Effects of stenoses on non-Newtonian flow of blood in blood vessels

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International Journal of Biomathematics 2015年第1期8卷 123-135页

作者： om Prakash o. d. makinde S. P. Singh Nidhi Jain devendra Kumar School of Basic and Applied Sciences Galgotias University Greater Noida Uttar Pradesh India Faculty of Military Science Stellenbosch University Private Bag X2 Saldanha 7395 South Africa department of Mathematics DEI Dayalbagh Agra Uttar Pradesh India department of Mathematics Sachdeva Institute of Technology Farah Mathura Uttar Pradesh India

In this paper, a mathematical model for steady blood flow through blood vessels with uniform cross-section in stenoses arteries has been proposed. Blood is assumed to be non- Newtonian, incompressible and homogeneous fluid. Blood in human artery is represented as Bingham plastic fluid. Expressions for flow rate, wall shear stress, and resistance to flow against stenoses size have been obtained. obtained results indicate that stenoses size decreases the flow rate and increases the wall shear stress as well as resistance to flow.

关键词： Stenoses wall shear stress resistance to flow flow rate non-Newtonian fluid

optimal Control of a Threatened Wildebeest-Lion Prey-Predator System in the Serengeti Ecosystem

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open Journal of Ecology 2015年第4期5卷 110-119页

作者： T. d. Sagamiko N. Shaban C. L. Nahonyo o. d. makinde department of Mathematics University of Dar es Salaam Dar es Salaam Tanzania department of Zoology and Wildlife Conservation University of Dar es Salaam Dar es Salaam Tanzania Faculty of Military Science Stellenbosch University Stellenbosch South Africa

We develop a two-species prey-predator model in which prey is wildebeest and predator is lion. The threats to wildebeest are poaching and drought while to lion are retaliatory killing and drought. The system is found in the Serengeti ecosystem. optimal control theory is applied to investigate optimal strategies for controlling the threats in the system where anti-poaching patrols are used for poaching, construction of strong bomas for retaliatory killing and construction of dams for drought control. The possible impact of using a combination of the three controls either one at a time or two at a time on the threats facing the system is also examined. We observe that the best result is achieved by using all controls at the same time, where a combined approach in tackling threats to yield optimal results is a good approach in the management of wildlife populations.

关键词： optimal Control Prey-Predator System Threat Poaching Serengeti