The application of analytical methods in the investigation effects of Magnetic parameter and Brownian motion on the fluid flow between two equal plates

Pasha, Pooya; Nabi, Hossein; Peiravi, Mohammad Mohsen; Pourfallah, Mohsen; Ganji, D.D.

doi:10.5829/ije.2021.34.10a.15

Cited by 6 publications

(3 citation statements)

References 26 publications

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“…Several values for Hartmann number and electromagnetic force affect the velocity profiles. Also, an extensie analytical research has been done in this field [34][35][36].…”

Section: Introductionmentioning

confidence: 99%

Numerical Study and Comparison of Two-dimensional Ferrofluid Flow in Semi-porous Channel under Magnetic Field

Jalili,

Afifi,

Jalili

et al. 2023

IJE

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In this article, the equations governing the constant ferromagnetic current are investigated. The Lorentz force restrains this ferrofluid flow in a semi-porous valve. Analyzes were performed on three sub-particle fluids: kerosene and blood, water and magnetite. Modeling in the Cartesian coordinate system using the relevant equations was investigated. A slight thinning should be considered in the lower part of this channel. This research has used two Akbari-Ganji methods (AGM) and finite element method (FEM) to solve the equations. Nonlinear differential equations are solved using the above two methods. In the finite element model, the effect of changing the Hartmann number and the Reynolds number on the flow velocity and the derivatives of the velocity and shear stress of the fluid were investigated. As the Hartmann number increases, the velocity decreases in both directions. The Reynolds number changes in different slip parameters, which shows the opposite behavior for the two directions. Also, the insignificant effect of volume fraction of nanoparticles on velocity and its derivatives and shear stress was investigated. The results of solving the equations with the above two methods were compared with HAM. The results obtained using AGM and FEM and their comparison with previous researches have led to complete agreement, which shows the efficiency of the techniques used in this research.

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“…Several values for Hartmann number and electromagnetic force affect the velocity profiles. Also, an extensie analytical research has been done in this field [34][35][36].…”

Section: Introductionmentioning

confidence: 99%

Numerical Study and Comparison of Two-dimensional Ferrofluid Flow in Semi-porous Channel under Magnetic Field

Jalili,

Afifi,

Jalili

et al. 2023

IJE

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“…Hatami and Ganji [16] discovered that LSM is more practical than other analytical and semi-analytical methods for cracking nonlinear heat transfer problems in many problems. Recently, several researchers have studied this issue and heat transfer [17][18][19][20][21][22][23][24][25]. Abbaszadeh et al [26] have presented the Galerkin method to solve the Navier-Stokes equation in combination with the heat transfer equation.…”

Section: Introductionmentioning

confidence: 99%

Thermal Analysis of Fluid Flow with Heat Generation for Different Logarithmic Surfaces

Jalili

Mousavi

Jalili

et al. 2022

IJE

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This study investigated the effect of temperature changes on different logarithmic surfaces. Onedimensional heat transfer was considered. The heat generation source term is added to the governing equations. Most scientific problems and phenomena such as heat transfer occur nonlinearly, and it is not easy to find exact analytical solutions. Using the appropriate similarity transformation for temperature and the generation components causes the basic equations governing flow and heat transfer to be reduced to a set of ordinary differential equations. These equations have been solved approximately subject to the relevant boundary conditions with numerical and analytical techniques. According to the given boundary conditions, Collocation, Galerkin, and least squares methods were used to find an answer to the governing differential equations. The validation of the present techniques has been done with the fourth-order Runge-Kutta method as a numerical method. The temperature profiles for different values of β and α have been obtained. The results showed that the proposed methods could consider nonlinear equations in heat transfer. Therefore, the results accepted by current analytical methods are very close to those of numerical methods. Comparing the results provides a more realistic solution and reinforces the conclusions regarding the efficiency of these methods. Furthermore, changes in temperature profiles occur with decreasing and increasing β and α numbers.

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“…A green procedure for europium extraction from aqueous chloride solution was investigated using phosphonium ionic liquid Cyphos. An extensive work conducted by Peiravi and Alinejad [11], Pasha et al [12] on numerically simulated fluid flow in a channel and between two equal plates. Jond et al [13] solved the control problem of a vehicle convoy modeled with linear dynamics.…”

Section: Introductionmentioning

confidence: 99%

Generating Electrical Power using Movement of Various Vehicles in New Lighting Base

2022

IJE

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T his work represent a proposed design to supply street lighting power using moving vehicles with an automatic system to guide the fluid flow. In the present design, wind turbines are integrated on the body of the lighting base, which can reduce the construction cost compared to previous designs and use the fluid flow of all vehicles movement with different dimensions to increase system efficiency. Also, present investigation, has been used an automatic system to direct the fluid flow to the wind turbines to increase the efficiency in supplying electricity, which was not installed in the previous designs. Other features of this system include the production of electricity in inappropriate weather and storm conditions, unlike previous designs that had to stop the wind turbine in these conditions to decrease damage. Finally, illuminating the streets and alleys, the stored energy can be used for other purposes, such as charging car batteries and lighting resort stations. Then, comparison between the best design of the third model based on lighting and second model with four vertical wind turbines (VWT ) and solar panel (SP), the power generation has increased by 35.55 %. Finally, using an automatic guidance systems (AGS) of fluid flow in the third model based on lighting, the power generation was enhamced by 64.86 %.

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The application of analytical methods in the investigation effects of Magnetic parameter and Brownian motion on the fluid flow between two equal plates

Cited by 6 publications

References 26 publications

Numerical Study and Comparison of Two-dimensional Ferrofluid Flow in Semi-porous Channel under Magnetic Field

Numerical Study and Comparison of Two-dimensional Ferrofluid Flow in Semi-porous Channel under Magnetic Field

Thermal Analysis of Fluid Flow with Heat Generation for Different Logarithmic Surfaces

Generating Electrical Power using Movement of Various Vehicles in New Lighting Base

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