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Efficient approaches of determining the motion of a spherical particle in a swirling fluid flow using weighted residual methods

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Particuology 2015年第6期13卷 68-74页

作者： Seiyed E. Ghasemi M. Vatani d.d. ganji Young Researchers and Elite Club Qaemshahr Branch Islamic Azad University Qaemshahr lran department of Mechanical Engineering Babol University of Technology Babol lran

The motion of a spherical particle released in a swirling fluid flow is studied employing the least-squares method and method of moments. The governing equations are obtained and solved employing the two methods. The accuracy of the results is examined against the results of a fourth-order Runge-Kutta numer- ical method. The effects of various parameters, namely the initial radius, initial radial velocity, initial angular velocity, and.d.ag-to-inertia ratio, on the non-dimensional velocity profiles and particle position distribution are considered. The results show that the radial velocity increases over time while the angular velocity decreases, and that an increase in the initial radial velocity increases the particle radial distance and angular velocity but decreases the radial velocity profile.

关键词： Spherical particle Swirling flow Radial velocity Angular velocity Least-squares method Method of moments

Analysis of turbulent MHd Couette nanofluid flow and heat transfer using hybrid.d.M-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.d.fferential 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.d.M-FdM Nanofluid Magnetohydrodynarnic couette flow

Analyzing the nonlinear vibrational wave differential equation for the simplified model of Tower Cranes by Algebraic Method

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Frontiers of Mechanical Engineering 2014年第1期9卷 58-70页

作者： M.R. AKBARI d.d. ganji A.R. AHMAdI Sayyid H. Hashemi KACHAPI department of Civil Engineering The University of Pardisan Mazan-daran and Department of Chemical Engineering University of TehranP.O. Box 66456-43516 Iran department of Mechanical Engineering Babol University of Technol-ogy P.O. Box 484 Babol Iran department of Mechanical Engineering Sari Branch Islamic AzadUniversity Sari P.O. Box 48161-19318 Iran

In the current paper, a simplified model of Tower Cranes has been presented in order to investigate and analyze the nonlinear differential equation governing on the presented system in three different cases by Algebraic Method （AGM）. Comparisons have been made between AGM and Numerical Solution, and these results have been indicated that this approach is very efficient and easy so it can be applied for other nonlinear equations. It is citable that there are some valuable advantages in this way of solving differential equations and also the answer of various sets of complicated.d.fferential equations can be achieved in this manner which in the other methods, so far, they have not had acceptable solutions. The simplification of the solution procedure in Algebraic Method and its application for solving a wide variety of differential equations not only in Vibrations but also in different fields of study such as fluid mechanics, chemical engineering, etc. make AGM be a powerful and useful role model for researchers in order to solve complicated nonlinear differential equations.

关键词： Algebraic Method (AGM) tower crane,oscillating system angular frequency

CFd analysis of Al_(2)O_(3)-syltherm oil nanofluid on parabolic trough solar

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Theoretical & Applied Mechanics Letters 2022年第2期12卷 72-84页

作者： Behzad Shaker Mosayeb Gholinia Mohsen Pourfallah d.d.ganji department of Mechanical Engineering Mazandaran University of science and TechnologyBabolIran department of Mechanical Engineering Babol Noushirvani University of TechnologyBabolIran

In this paper,in order to improve the performance of a linear parabolic collector,the thermal effects of using Al_(2)O_(3)-syltherm oil nanofluid with different concentrations and new flange-shaped turbulators are *** simulation was performed by ANSYS-FLUENT-18.2 commercial software using Realizable k-εtwo-equation turbulence *** accordance with the results,it was realized that increasing the volume fraction of nanoparticles(to 5%)and number of turbulators causes the heat transfer coefficient(h)of the fluid to elevate and ultimately the uniform temperature is created in the *** instance,at a flow rate of 4.5kg/s and an inlet temperature of 350 K,the value of h increases by about 8.5%by changing the number of turbulators from 10 to 15 *** the other hand,the results indicate that by changing the arrangement of the turbulators,the heat transfer efficiency of the collector can be increased by 5%for 350 K,3.5%for 450 K and 1%for 550 K inlet temperature.

关键词： Al_(2)O_(3)-syltherm oil nanofluid Flange-shaped turbulator Pressure drop Friction factor

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.d.crease 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.d.mensionless temperature,and.d.mensional 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

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

Motion of a spherical particle in a fluid forced vortex by dQM and.d.M

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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)