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Mathematical modeling of fractional derivatives for magnetohydrodynamic fluid flow between two parallel plates by the radial basis function method

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Theoretical & Applied Mechanics Letters 2022年第4期12卷 241-250页

作者： Saman Hosseinzadeh Seyed Mahdi Emadi Seyed Mostafa Mousavi davood domairry ganji Department of Mechanical Engineering Babol Noshirvani University of TechnologyBabolIran

Investigations into the magnetohydrodynamics of viscous fluids have become more important in recent years,owing to their practical significance and numerous applications in astro-physical and geo-physical *** this paper,the radial base function was utilized to answer fractional equation associated with fluid flow passing through two parallel flat plates with a magnetic *** magnetohydrodynamics coupled stress fluid flows between two parallel plates,with the bottom plate being stationary and the top plate moving at a persistent *** compared the radial basis function approach to the numerical method(fourth-order Range-Kutta)in order to verify its *** findings demonstrated that the discrepancy between these two techniques is quite negligible,indicating that this method is very *** impact of the magnetic field parameter and Reynolds number on the velocity distribution perpendicular to the fluid flow direction is ***,the velocity parameter is compared for diverse conditionsα,Reynolds and position(y),the maximum of which occurs atα=***,the maximum velocity values occur inα=0.4 and Re=1000 and the concavity of the graph is less forα=0.8.

关键词： Magnetohydrodynamic fluid Fractional equation Radial basis function method Numerical method

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

Travelling Wave Solutions to the Zhiber-Shabat and Related Equations Using Rational Hyperbolic Method

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Advances in Applied Mathematics and Mechanics 2010年第1期2卷 118-130页

作者： Amin Gholami Davodi davood Domiri ganji Department of Civil Engineering Shahrood University of TechnologyShahroodIran Department of Mechanical Engineering Babol University of TechnologyBabolIran

This paper presents the application of a new method for obtaining new exact solutions of some well-known nonlinear partial differential *** Rational Hyperbolic method is used for handling the Zhiber-Shabat equation and the related equations such as Liouville,Sinh-Gordon,Dodd-Bullough-Mikhailov and Tzitzeica-Dodd-Bullough *** show power of the Rational Hyperbolic method that is simple and effective for solving nonlinear partial differential equations.

关键词： The rational hyperbolic method Zhiber-Shabat Liouville Sinh-Gordon DoddBullough-Mikhailov and Tzitzeica-Dodd-Bullough equations

Analytical solutions to nonlinear conservative oscillator with fifth-order nonlinearity

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Earthquake Engineering and Engineering Vibration 2010年第3期9卷 367-374页

作者： M.G.Sfahani S.S.ganji A.Barari H.Mirgolbabaei G.domairry Departments of Civil and Mechanical Engineering Babol University of Technology Department of Transportation Engineering Islamic Azad UniversityScience and Research Branch Department of Civil Engineering Aalborg University Department of Mechanical Engineering Islamic Azad University

This paper describes analytical and numerical methods to analyze the steady state periodic response of an oscillator with symmetric elastic and inertia nonlinearity. A new implementation of the homotopy perturbation method （HPM） and an ancient Chinese method called the max-rain approach are presented to obtain an approximate solution. The major concern is to assess the accuracy of these approximate methods in predicting the system response within a certain range of system parameters by examining their ability to establish an actual （numerical） solution. Therefore, the analytical results are compared with the numerical results to illustrate the effectiveness and convenience of the proposed methods.

关键词： non-linear oscillation homotopy perturbation method (HPM) max-min approach (MMA) Rung-Kutta method (R-KM) large amplitude free vibrations

Nonlinear vibration of an elastically restrained tapered beam

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Science China(Physics,Mechanics & Astronomy) 2012年第10期55卷 1925-1930页

作者： KARIMPOUR S. ganji S.S. BARARI A. IBSEN L.B. domairry G. Department of Civil and Mechanical Engineering Babol University of TechnologyP.O.Box 484BabolIran Young Researchers Club Science and Research BranchIslamic Azad UniversityTehranIran Department of Civil Engineering Aalborg UniversitySohng rdsholmsvej 57DK-9000 AalborgAalborgDenmark

This paper presents the analytical simulation of an elastically restrained tapered cantilever beam using the energy balance method(EBM) and the iteration perturbation method(IPM).To assess the accuracy of solutions,we compare the results with the harmonic balance method(HBM).The obtained results from EBM and IPM are in excellent agreement with HBM *** results show that both methods can be easily extended to other nonlinear oscillations and it can be predicted that both methods can be found widely applicable in engineering and physics.

关键词： energy balance method (EBM) iteration perturbation method (IPM) nonlinear oscillation

Experimental investigation of performance improving and emissions reducing in a two stroke SI engine by using ethanol additives

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Propulsion and Power Research 2013年第4期2卷 276-283页

作者： Mohsen Ghazikhani Mohammad Hatami Behrouz Safari davood Domiri ganji Ferdowsi University of Mashhad Engineering FacultyMechanical Engineering DepartmentIran Esfarayen University Engineering and Technical CollegeMechanical Engineering DepartmentEsfarayenNorth KhorasanIran Babol University of Technology Mechanical Engineering DepartmentMazandaranBabolIran

In present study,the operational parameters for a two stroke gasoline engine such as delivery ratio,scavenging efficiency,trapping efficiency,*** been investigated experimentally when its fuel is blended with ethanol *** the amounts of emitted pollutants(HC,CO,CO_(2)and NO_(X))from this engine are measured in various engine velocity and *** experiments,ethanol is combined with gasoline in different percentages of 5%,10%and 15%.The experiments have been done for 2500,3000,3500 and 4500 *** results show that in most test cases,when alcoholic fuel is used,scavenging efficiency and delivery ratio increased due to rapid evaporation of ethanol,but fuel converging efficiency and brake specific fuel consumption(BSFC)*** most outstanding result of using ethanol additive is significant reduction in pollutions emitted from engine and CO with 35%reduction has the most reduction percentage among other pollutants.

关键词： Two strokeengine Ethanol additives Delivery ratio Scavenging efficiency Emissions

非稳态纳米流体在加磁场平行板间流动的传热分析

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中南大学学报:英文版 2023年第7期30卷 2313-2323页

作者： Amirali SHATERI Mojgan Mansouri MOGHADDAM Bahram JALILI Yasir KHAN Payam JALILI davood Domiri ganji Department of Mechanical Engineering North Tehran BranchIslamic Azad UniversityP.O.Box 195851936TehranIran Department of Software Engineering Payame Noor UniversityP.O.Box 19395-4697TehranIran Department of Mathematics University of Hafr Al BatinHafr Al Batin 31991Saudi Arabia Department of Mechanical Engineering Babol Noshirvani University of TechnologyP.O.Box 484BabolIran

本研究采用微分变换法和Akbari-ganji法,研究了施加均匀磁场对纳米流体在两个无限平行板间流动的自然对流传热的影响。在得到控制方程并在特定边界条件下求解问题后,研究了Prandtl数、挤压次数、Schmidt数、Hartmann数、Eckert数、布朗... 详细信息

本研究采用微分变换法和Akbari-ganji法,研究了施加均匀磁场对纳米流体在两个无限平行板间流动的自然对流传热的影响。在得到控制方程并在特定边界条件下求解问题后,研究了Prandtl数、挤压次数、Schmidt数、Hartmann数、Eckert数、布朗运动参数和热电泳参数等主要参数的影响。将相似变换用于求解常微分方程组,并与Rung-Kutta四阶数值法进行对比。研究结果表明,增加挤压次数会导致速度减慢,增加Hartman数也有类似的影响。此外,温度随着Hartman数、Eckert数和热电泳参数的增大而升高,且与Prandtl数成正比。我们对比研究了Akbari-ganji法和微分变换法求解非线性微分方程,结果表明,前者需要的计算步骤更少和计算时间更短,是一种更有效的方法。使用建议的方法获得的解与文献中的解一致。这些结果有助于研究人员更快、更容易地进行分析,并为纳米流体在电磁场存在下流动的复杂行为提供重要见解。

关键词： Akbari-ganji法微分变换法传热输热电泳

Study on MHD Viscous Flow over a Stretching Sheet Using DTM-Pade’ Technique

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Modern Mechanical Engineering 2012年第4期2卷 126-129页

作者： Mohammadreza Azimi davood Domiri ganji Farhad Abbassi Department of Mechanical Engineering Babol University of Technology Babol Iran

In this paper, we present the study of momentum characteristics in a MHD viscous flow over a stretching sheet. First the partial differential equations of motion have been transformed to an ordinary differential equation. The analytical method called Differential Transformation Method (DTM) powered by the Pade’ approximation is applied to solve the nonlinear equation derived from MHD viscous flow over a stretching sheet, the effect of parameters variation has been investigated for two numerical cases and finally the analytical results have been compared with numerical one in a numerical case. The obtained results approve its efficiencies and capabilities beside numerical solutions achieved from Runge Kutta method.

关键词： MHD Viscous Flow Stretching Sheet Differential Transformation Method Pade Approximant