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TiO_2-water nanofluid in a porous channel under the effects of an inclined magnetic field and variable thermal conductivity

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Applied mathematics and mechanics(English Edition) 2018年第8期39卷 1201-1216页

作者： A.A.SIDDIQUI m.sheikholeslami Department of Basic Sciences Bahauddin Zakariya University Department of mechanical Engineering Babol Noshirvani Uiniversity of Technology

The TiO2-water based nanofluid flow in a channel bounded by two porous plates under an oblique magnetic field and variable thermal conductivity is formulated as a boundary-value problem(BVP). The BVP is analytically solved with the homotopy analysis method(HAm). The result shows that the concentration of the nanoparticles is independent of the volume fraction of TiO2nanoparticles, the magnetic field intensity, and the angle. It is inversely proportional to the mass diffusivity. The fluid speed decreases whereas the temperature increases when the volume fraction of the TiO2nanoparticles increases. This confirms the fact that the occurrence of the TiO2nanoparticles results in the increase in the thermal transfer rate. The fluid speed decreases and the temperature increases for both the pure water and the nanofluid when the magnetic field intensity and angle increase. The maximum velocity does not exist at the middle of the symmetric channel, which is in contrast to the plane-Poiseuille flow, but it deviates a little bit towards the lower plate, which absorbs the fluid with a very low suction velocity. If this suction velocity is increased, the temperature in the vicinity of the lower plate will be *** explicit expression for the friction factor-Reynolds number is then developed. It is shown that the Hartmann number of the nanofluid is smaller than that of pure water,while the Nusselt number of the nanofluid is larger than that of pure water. However,both the parameters increase if the magnetic field intensity increases.

关键词： TiO2 Nusselt number oblique magnetic field nanofluid homotopy analysis method(HAm) thermal transfer

Numerically simulated behavior of radiative Fe_(3)O_(4) and multi-walled carbon nanotube hybrid nanoparticle flow in presence of Lorentz force

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Applied mathematics and mechanics(English Edition) 2021年第3期42卷 347-356页

作者： S.A.SHEHZAD m.sheikholeslami T.AmBREEN A.SHAFEE Department of mathematics COMSATS University IslamabadSahiwal 57000Pakistan Renewable Energy Systems and Nanofluid Applications in Heat Transfer Laboratory Babol Noshirvani University of TechnologyBabol 47148-71167Iran Department of mechanical Engineering Babol Noshirvani University of TechnologyBabol 47148-71167Iran School of mechanical Engineering Kyungpook National UniversityDaegu 41566South Korea Institute of Research and Development Duy Tan UniversityDa Nang 550000Vietnam

Free convection in hybrid nanomaterial-saturated permeable media is crucial in various engineering *** present study aims to investigate the free convection of an aqueous-based hybrid nanomaterial through a zone under the combined effect of the Lorentz force and *** natural convection of the hybrid nanomaterial is modeled by implementing a control volume finite element method(CVFEm)-based code,whereas Darcy assumptions are used to model the porosity terms in the momentum buoyancy equation involving the average Nusselt number Nu_(ave),flow streamlines,and isotherm profiles.A formula for estimating Nu_(ave) is *** results show that the magnetic force retards the flow,and the fluid tends to attract the magnetic field ***_(ave) is directly correlated with the Rayleigh number and radiation;however,it is indirectly dependent on the Hartmann *** is the dominant mode at larger Darcy and Hartmann numbers.

关键词： free convection hybrid nanoparticle Darcy porous space Hartmann number radiation

Natural Convection of Fe_3O_4-Ethylene Glycol Nanofluid under the Impact of Electric Field in a Porous Enclosure

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Communications in Theoretical Physics 2018年第6期69卷 667-675页

作者： m.sheikholeslami S.A.Shehzad R.Kumar Department of mechanical Engineering Babol Noshirvani University of Technology Department of mathematics COMSATS Institute of Information Technology Department of mathematics Central University of Himachal Pardesh

Free convection of FeaO4-Ethylene glycol nanofluid in existence of Coulomb forces is studied. Effect of thermal radiation is taken into account. Properties of nanofluid are varied with supplied voltage and shape of nanoparticles. The bottom wall is considered as positive electrode. Control Volume based Finite Element method is used to obtain the results, which are the roles of Darcy number （Da）, radiation parameter （Rd）, Rayleigh number （Ra）, nanofluid volume fraction （qS）, and supplied voltage （△φ）. Results indicate that Nusselt number is an enhancing function of supplied voltage and Darcy number. maximum values for temperature gradient are occurred for platelet shape nanoparticles.

关键词： electric field thermal radiation nanofluid shape of nanoparticles porous media

Free convection of nanofluid filled enclosure using lattice Boltzmann method (LBm)

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Applied mathematics and mechanics(English Edition) 2013年第7期34卷 833-846页

作者： m.sheikholeslami m.GORJI-BANDPY G.DOmAIRRY Department of mechanical Engineering Babol Noshirvani University of Technology

The lattice Boltzmann method （LBm） is used to examine free convection of nanofluids. The space between the cold outer square and heated inner circular cylinders is filled with water including various kinds of nanoparticles： TiO2, Ag, Cu, and A1203. The Brinkman and maxwell-Garnetts models are used to simulate the viscosity and the effective thermal conductivity of nanofluids, respectively. Results from the performed numerical analysis show good agreement with those obtained from other numerical meth- ods. A variety of the Rayleigh number, the nanoparticle volume fraction, and the aspect ratio are examined. According to the results, choosing copper as the nanoparticle leads to obtaining the highest enhancement for this problem. The results also indicate that the maximum value of enhancement occurs at λ =2.5 when Ra = 106 while at A = 1.5 for other Rayleigh numbers.

关键词： lattice Boltzmann method (LBm) nanofluid natural convection concentric annular cavity

Analytical investigation of Jeffery-Hamel flow with high magnetic field and nanoparticle by Adomian decomposition method

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Applied mathematics and mechanics(English Edition) 2012年第1期33卷 25-36页

作者： m.sheikholeslami D.D.GANJI H.R.ASHORYNEJAD H.B.ROKNI Faculty of mechanical Engineering Babol University of TechnologyP.O.Box 484BabolIslamic Republic of Iran

In this study, the effects of magnetic field and nanoparticle on the Jeffery- Hamel flow are studied using a powerful analytical method called the Adomian decomposition method （ADm）. The traditional Navier-Stokes equation of fluid mechanics and maxwell＇s electromagnetism governing equations are reduced to nonlinear ordinary differential equations to model the problem. The obtained results are well agreed with that of the Runge-Kutta method. The present plots confirm that the method has high accuracy for different a, Ha, and Re numbers. The flow field inside the divergent channel is studied for various values of Hartmann ：number and angle of channel. The effect of nanoparticle volume fraction in the absence of magnetic field is investigated.

关键词： magnetohydrodynamic Jeffery-Hamel flow Adomian decomposition method nonlinear ordinary differential equation nanofluid

伴有磁场和纳米固体颗粒时的Jeffery-Hamel流动解析研究--Adomian分解法

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应用数学和力学 2012年第1期33卷 24-34页

作者： m·塞克厚勒什勒米 D·D·甘集 H·R·阿秀讷加德 H·B·若克尼巴博尔科技大学机械工程学院巴博尔P.O.Box484伊朗

用一种强有力的解析方法,称为Adomian分解法(ADm),来研究磁场和纳米颗粒对Jeffery-Hamel流动的影响.将该问题模型的控制方程,即将传统的流体力学Navier-Stokes方程和maxwell电磁方程,简化为非线性的常微分方程.该方法得到的结果与Runge-... 详细信息

用一种强有力的解析方法,称为Adomian分解法(ADm),来研究磁场和纳米颗粒对Jeffery-Hamel流动的影响.将该问题模型的控制方程,即将传统的流体力学Navier-Stokes方程和maxwell电磁方程,简化为非线性的常微分方程.该方法得到的结果与Runge-Kutta方法得到的数值结果相一致,结果用表格列出.不同α,Ha和Re数下的图形表明,本方法可以得到高精度的结果.首先对不同的Hartmann数和管壁倾角,研究喇叭形管道中的流场;最后在没有磁场作用时,研究纳米固体颗粒体积率的影响.

关键词：磁流体动力学 Jeffery-Hamel流 ADm(Adomian分解法) 非线性常微分方程纳米流体

Effect of Lorentz forces on forced-convection nanofluid flow over a stretched surface

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Particuology 2016年第3期14卷 108-113页

作者： mohsen sheikholeslami m.T. mustafa Davood Domiri Ganji Department of mechanical Engineering Babol University of Technology Babol Islamic Republic oflran Department of mathematics Statistics and Physics Qatar University Doha 2713 Qatar

magnetic nanofiuid hydrothermal analysis over a plate is studied that includes consideration of thermal radiation. The Runge-Kutta （RK4） method is utilized to get solution of ODEs which are obtained from similarity solution. In considering the impacts of Brownian motion, we applied Koo-Kleinstreuer-Li cor- relation to simulate the properties of CuO-water. The influence is discussed of important parameters such as the temperature index, magnetic, radiation, and velocity ratio parameters and volume fraction of nanoparticle on hydrothermal behavior. Results illustrate that the coefficient of skin friction enhances with enhancing magnetic parameter while reduces with enhancing velocity ratio parameter. Also the Nusselt number was found to directly depend on the velocity ratio and temperature index parameters but has an inverse dependence on the magnetic and radiation parameters.

关键词： Nanofluid Brownian motion Thermal radiation magnetohydrodynamic Stretching sheet

Analysis of turbulent mHD Couette nanofluid flow and heat transfer using hybrid DTm-FDm

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Particuology 2016年第3期14卷 95-101页

作者： S. mosayebidorcheh m. sheikholeslami m. Hatami D.D. Ganji Young Researchers and Elite Club Najafabad Branch lslamicAzad University Ndjafabad Iran Department of mechanical Engineering Lenjan Branch Islamic Azad University lsfahan Iron Department of mechanical Engineering Babol University of Technology Babol Iran mechanical Engineering Department Engineering and Technical College Esfarayen University Esfarayen North Khorasan lran

Unsteady turbulent magnetohydrodynamic nanofluid hydrothermal treatment is studied. The zero- equation turbulence model is used to simulate turbulent flow. The modeling results obtained by applying the hybrid differential transformation method-finite difference method to solve this problem confirm its viability. An analytical procedure is used for finding the effects of the problem parameters. Results indicate that the average Nusselt number over the lower plate depends linearly on volume fraction of nanofluid, Hall parameter, turbulent Eckert number, and Reynolds number whereas it is inversely proportional on the Hartmann number and the turbulent parameter.

关键词： Turbulent Hall effect Hybrid DTm-FDm Nanofluid magnetohydrodynarnic couette flow

Non-Newtonian fluid flow in an axisymmetric channel with porous wall

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Propulsion and Power Research 2013年第4期2卷 254-262页

作者： m.Hosseini Z.sheikholeslami D.D.Ganji Department of mechanical Engineering Islamic Azad UniversityQaemshahr BranchQaemshahrMazandaranIran Department of Civil Engineering University of MazandaranBabolsarIran Department of mechanical Engineering Babol University of TechnologyBabolIran

In the present article Optimal Homotopy Asymptotic method(OHAm)is used to obtain the solutions of momentum and heat transfer equations of non-Newtonian fluid flow in an axisymmetric channel with porous wall for turbine cooling *** method is used for validity of this analytical method and excellent agreement is observed between the solutions obtained from OHAm and numerical *** to this validity,effects of some other parameters are *** results show that Nusselt number increases with increase of Reynolds number,Prandtl number and power law index.

关键词： Non-Newtonian fluid Axisymmetric channel Porous media Optimal Homotopy Asymptotic method(OHAm) Heat transfer