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Importance of induced magnetic field and exponential heat source on convective flow of Casson fluid in a micro-channel via AGM

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Theoretical & Applied Mechanics Letters 2022年第3期12卷 156-164页

作者： A.Hasibi A.Gholami Z.Asadi d.d.ganji department of Mechanical Engineering Babol University of TechnologyP.O.Box 484BabolIran department of Mechanical Engineering Islamic Azad UniversitySariIran

The study of the natural convective flow of a fluid in the presence of an induced magnetic field has always been of considerable importance due to its many applications in various areas of science,technology,and industry,such as the operation of magnetohydrodynamic *** study addresses an analysis of exponential heat source and induced magnetic field on the second-class convection of Casson fluid in a *** flow is in a vertical microchannel organized by two vertical *** answer to governing equations has been grabbed for temperature field,induced magnetic field,and velocity via Akbari-ganji’s method(AGM).Nusselt number,skin friction coefficient,and current density are *** that describe the conclusion of influential physical variables on velocity,temperature,current density,induced magnetic field,and skin friction coefficient distributions are *** of results with numerical method(Runge-Kutta-Fehlberg,RKF-45),homotopy perturbation method,and AGM confirms the accuracy of answers obtained with AGM.

关键词： AGM method Casson fluid Microchannel Exponential heat source

Hydrothermal analysis of hybrid nanofluid flow on a vertical plate byconsidering slip condition

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Theoretical & Applied Mechanics Letters 2022年第5期12卷 306-314页

作者： M.R.Zangooee Kh.Hosseinzadeh d.d.ganji department of Mechanical Engineering Payamenoor University(PNU)TehranIran department of Mechanical Engineering Babol Noshirvani University of TechnologyBabolIran

Hybrid nanofluids have attracted burgeoning attention owing to their outstanding capacity to improve heat *** influence of velocity and temperature slip parameter and nanoparticls’(NPs’)volume fraction on a vertical plate in the existence of suction has been explored in this *** investigation’s controlling partial differentiation equations were transformed into a conventional differential equation mechanism using resemblance *** were then solved employing the fifth-order Runge-Kutta *** skin coefficient of friction,temperature,and temperature gradient all rise when the volume percentage of NPs increases from 0 to 2%.Furthermore,a rise in the temperature slip variable was linked to a drop in the Nusselt number(heat transfer).The Nusselt number increased 0.15%and 5.63%respectively when the velocity slip parameter enhanced from 0 to 5 and the NPs volume percentage were increased from 0 to 1.5%.Furthermore,an increase in the temperature slip from 0 to 3 inflated the x-direction skin friction coefficient 8.2%,while inflation in the velocity slip from 0 to 5 was associated with a decline in the x-direction skin friction coefficient 95%.

关键词： Hybrid nanofluid Stagnation flow Velocity slip Temperature slip

Investigation of nanofluid flow in a vertical channel considering polynomial boundary conditions by Akbari-ganji’s method

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Theoretical & Applied Mechanics Letters 2022年第4期12卷 257-266页

作者： M.Fallah Najafabadi H.TalebiRostami Kh.Hosseinzadeh d.d.ganji department of Mechanical Engineering Babol Noshirvani University of TechnologyBabolIran department of Mechanical Engineering Amirkabir University of TechnologyTehranIran

In this research,a vertical channel containing a laminar and fully developed nanofluid flow is *** channel surface’s boundary conditions for temperature and volume fraction functions are considered qth-order *** equations related to this problem have been extracted and then solved by the AGM and validated through the Runge-Kutta numerical method and another similar *** the study,the effect of parameters,including Grashof number,Brownian motion parameter,etc.,on the motion,velocity,temperature,and volume fraction of nanofluids have been *** results demonstrate that increasing the Gr number by 100%will increase the velocity profile function by 78%and decrease the temperature and fraction profiles by 20.87%and 120.75%.Moreover,rising the Brownian motion parameter in five different sizes(0.1,0.2,0.3,0.4,and 0.5)causes lesser velocity,about 24.3%at first and 4.35%at the last level,and a maximum 52.86%increase for temperature and a 24.32%rise for ψ occurs when N b rises from 0.1 to *** all N_(t) values,at least 55.44%,18.69%,for F(η),andΩ(η),and 20.23%rise for ψ(η)function is ***,enlarging the N r parameter from 0.25 to 0.1 leads F(η)to rise by 199.7%,fluid dimensionless temperature,and dimensional volume fraction to decrease by 18%and 92.3%.In the end,a greater value of q means a more powerful energy source,amplifying all velocity,temperature,and volume fraction *** main novelty of this research is the combined convection qth-order polynomials boundary condition applied to the channel ***,The AMG semi-analytical method is used as a novel method to solve the governing equations.

关键词： Akbari-ganji’s method Nanofluid Vertical channel Combined convection Polynomial boundary condition

Motion of a spherical particle in a fluid forced vortex by dQM and dTM

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Particuology 2014年第5期12卷 206-212页

作者： M.Hatami d.d.ganji Esfarayen University Department of Mechanical EngineeringEsfarayenNorth KhorasanIran Mechanical Engineering Faculty Babol University of TechnologyBabolP.O.Box 484Iran

In this study, coupled equations of the motion of a particle in a fluid forced vortex were investigated using the differential transformation method （dTM） with the Pad6 approximation and the differential quadrature method （dO_M）. The significant contribution of the work is the introduction of two new, fast and efficient solutions for a spherical particle in a forced vortex that are improvements over the previous numerical results in the literature. These methods represent approximations with a high degree of accuracy and minimal computational effort for studying the particle motion in a fluid forced vortex. In addition, the velocity profiles （angular and radial） and the position trajectory of a particle in a fluid forced vortex are described in the current study.

关键词： Spherical particle Forced vortex differential transformation method (dTM)Angular velocity differential quadrature method (dQM)

Thermal energy storage inside the chamber with a brick wall using the phase change process of paraffinic materials:A numerical simulation

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Theoretical & Applied Mechanics Letters 2022年第3期12卷 197-206页

作者： M.Javidan M.Asgari M.Gholinia M.Nozari A.Asgari d.d.ganji department of Mechanical Engineering Babol Noshirvani University of TechnologyBabolIran department of Chemistry Drexel UniversityPhiladelphiaUSA department of Mechanical Engineering Shiraz UniversityShirazIran

Phase change materials are one of the potential resources to replace fossil fuels in regards of supplying the energy of ***,these materials absorb or release heat energy with the help of their latent *** change materials have low thermal conductivity and this makes it possible to use the physical properties of these materials in the tropical regions where the solar radiation is more direct and concentrated over a smaller *** this theoretical work,an attempt has been made to study the melting process of these materials by applying constant heat flux and *** was found that by increasing the thickness of phase change materials’layers,due to the melting,more thermal energy is *** it reduces the penetration of excessive heat into the chamber,so that by increasing the thickness of paraffin materials up to 20 mm,the rate of temperature reduction reaches more than 18%.It was also recognized that increasing the values of constant input heat flux increases buoyancy *** the Stefan number from 0.1 to 0.3,increases the temperature by 6%.

关键词： Thermal energy storage Heat transfer fluid Radiation heat transfer Phase change material

Metal foam and fin implementation into a triple concentric tube heat exchanger over melting evolution

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Theoretical & Applied Mechanics Letters 2022年第2期12卷 118-126页

作者： M.A.Erfani Moghaddam M.R.Hassani Soukht Abandani Kh.Hosseinzadeh Mohammad Behshad Shafii d.d.ganji department of Mechanical Engineering Babol Noshirvani University of TechnologyBabolIran department of Mechanical Engineering Sharif University of TechnologyTehranIran

It is believed that it is going to be a sizeable mismatch between supply and demand when it comes to renewable ***,researchers are on course to compensate for the unpredictabilityof such resources by the employment of phase change materials(PCMs).Having multiple advantages,PCMs generally suffer from inadequate thermal conductivity which causes prolonged transition *** tackle this issue,this study is fixated on two parameterswhich are linked to fins addition and porous media incorporation in a melting process within a triple concentric tube heat exchanger(TCTHX).The results provided by multiple cases underlined the significance of natural convection in the bare system,although finned and copper-metal-foam cases outshine buoyancy forces by roughly 45%and 97%,*** is a major determent when it comes to the selection of porous media as Al_(2)O_(3) registered the weakest performance among SiC,Ni and Cu,however,it managed to speed up the process by 75%which still is much higher than the finned system,implying that porous media is of higher priority over *** best scenario transpiredwhile fins and copper metal foam were integrated as 26%and 97%soars in efficacy have been obtained compared to individual incorporation of porous media and fins,respectively.

关键词： Thermal storage TCTHX Fins Melting evolution Porous media Heat exchanger

Computer simulation of Cu:AlOOH/water in a microchannel heat sink using a porous media technique and solved by numerical analysis AGM and FEM

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Theoretical & Applied Mechanics Letters 2023年第3期13卷 177-187页

作者： S.A.Abdollahi P.Jalili B.Jalili H.Nourozpour Y.Safari P.Pasha d.d.ganji Master student-Mechanical Engineering-Energy conversion Faculty of Mechanical EngineeringTabriz UniversityTabrizIran Engineering Faculty of EngineeringNorth Tehran BranchIslamic Azad UniversityTehranIran department of Mechanical Engineering Noshirvani University of TechnologyBabolIran department of Mechanical engineering Mazandaran University of science and TechnologyBabolIran

Extensive improvements in small-scale thermal systems in electronic circuits,automotive industries,and microcomputers conduct the study of microsystems as *** and thermic field characteristics of the coherent nanofluid-guided microchannel heat sink are described in this *** porous media approximate was used to search the heat distribution in the expanded sheet and Cu:γ-AlOOH/water.A hybrid blend of Boehme copper and aluminum nanoparticles is evaluated to have a cooling effect on the microchannel heat *** using Akbari ganji and finite element methods,linear and non-linear differential equations as well as simple dimensionless equations have been *** purpose of this study is to investigate the fluid and thermal parameters of copper hybrid solution added to water,such as Nusselt number and darcy number so that we can reach the best cooling of the ***,by installing a piece of fin on the wall of the heat sink,the coefficient of conductive heat transfer and displacement heat transfer with the surrounding air fluid increases,and the efficiency of the system *** overall results show that expanding values on the NP(series heat transfer fluid system maximizes performance with temperatures)volume division of copper,as well as boehmite alumina particles,lead to a decrease within the stream velocity of the Cu:AlOOH/*** the volume fraction of nanoparticles in the hybrid mixture decreases the temperature of the solid surface and the hybrid *** Brownian movement improves as the volume percentage of nanoparticles in the hybrid mixture grows,spreading the heat across the *** a result,heat transmission rates *** the darcy number increases,the thermal field for solid sections and Cu:AlOOH/water improves.

关键词： Finite element method AGM method Microchannel Heat sink Porous media Cu:γ-AlOOH/water

Solution of nonlinear cubic-quintic duffing oscillators using He’s Energy Balance Method

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Journal of Zhejiang University-Science A(Applied Physics & Engineering) 2009年第9期10卷 1263-1268页

作者： d.d.ganji M.GORJI S.SOLEIMANI M.ESMAEILPOUR department of Mechanical Engineering University of Mazandaran

In this study, He's Energy Balance Method (EBM) was applied to solve strong nonlinear duffing oscillators with cubic-quintic nonlinear restoring force. The complete EBM solution procedure of the cubic-quintic duffing oscillator equation is presented. For illustration of effectiveness and convenience of the EBM, different cases of cubic-quintic duffing oscillator with different parameters of α,β and γ were compared with the exact solution. We found that the solutions were valid for small as well as large amplitudes of oscillation. The results show that the EBM is very convenient and precise, so it can be widely applicable in engineering and other sciences.

关键词：能量平衡法五次非线性振荡器立方 duffing振子循证医学强非线性振子方程

Application of Exp-function Method to Wave Solutions of the Sine-Gordon and Ostrovsky Equations

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Acta Mathematicae Applicatae Sinica 2016年第3期32卷 571-578页

作者： R.A.TALARPOSHTI S.E.GHASEMI Y.RAHMANI d.d.ganji department of Mathematics Faculty of Mathematical SciencesMazandaran University Young Reseachers and Elite Club Sari BranchIslamic Azad University department of Mechanical Engineering Babol University of Technology

In this work, the Exp-function method is employed to find new wave solutions for the Sine-Gordon and Ostrovsky equation. The equations are simplified to the nonlinear partial differential equations and then different types of exact solutions are extracted by this method. It is shown that the Exp-function method is a powerful analytical method for solving other nonlinear equations occurring in nonlinear physical phenomena. Results are presented in contour plots that show the different values of effective parameters on the velocity profiles.

关键词： exp-function method nonlinear equation wave solutions Sine-Gordon equation Ostrovsky equation