Transverse magnetic field on Jeffery–Hamel problem with Cu–water nanofluid between two non parallel plane walls by using collocation method

Petroudi, Iman Rahimi; Ganji, D.D.; Nejad, M. Khazayi; Rahimi, Javad; Rahimi, E.; Rahimifar, A.

doi:10.1016/j.csite.2014.10.002

Cited by 22 publications

(11 citation statements)

References 19 publications

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“…6 investigated the thermal radiation effects on the conventional Jeffery-Hamel flow caused by a point source or sink in convergent/divergent channels with stretching or shrinking walls of the stationary channel. 7 explored the effects of magnetic field applied transversely on Jeffery-Hamel flow using Cuwater nanofluid in the middle of two nonparallel plane walls. 8 obtained the similarity solutions for the flow of Jeffery-Hamel fluid and described its relation to flow in a converging-diverging channel.…”

Section: Introductionmentioning

confidence: 99%

Haar wavelet solution of the MHD Jeffery-Hamel flow and heat transfer in Eyring-Powell fluid

et al. 2016

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This study deals with the numerical investigation of Jeffery-Hamel flow and heat transfer in Eyring-Powell fluid in the presence of an outer magnetic field by using Haar wavelet method. Jeffery-Hamel flows occur in various practical situations involving flow between two non-parallel walls. Applications of such fluids in biological and industrial sciences brought a great concern to the investigation of flow characteristics in converging and diverging channels. A suitable similarity transformation is applied to transform the nonlinear coupled partial differential equations (PDEs) into nonlinear coupled ordinary differential equations (ODEs), which govern the momentum and heat transfer properties of the fluid. Due to the high nonlinearity of resulting coupled ODEs, the exact solution is unlikely. Thus, the solution is approximated using a numerical scheme based on Haar wavelets and the results are verified by comparing with 4th order Runge-Kutta results.

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Section: Introductionmentioning

confidence: 99%

Haar wavelet solution of the MHD Jeffery-Hamel flow and heat transfer in Eyring-Powell fluid

et al. 2016

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“…The midpoint method, also known as the fourth-order Runge-Kutta-Fehlberg method, improves the Euler method by adding a midpoint in the step that increases the accuracy by one order. Thus, the midpoint method is used as a suitable numerical technique [29,30]. In addition, the validity of the proposed methods is shown in Table 1.…”

Section: Resultsmentioning

confidence: 99%

Thermal performance of porous fins with temperature-dependent heat generation via the homotopy perturbation method and collocation method

Hoshyar

Rahimipetroudi

Ganji

et al. 2015

J. Appl. Math. Comput. Mech.

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Abstract. An analysis has been performed to study the problem of the thermal performance of a nonlinear problem of the porous fin with temperature-dependent internal heat generation. Highly accurate semi-analytical methods called the collocation method (CM) and the homotopy perturbation method (HPM) are introduced and then are used to obtain a nonlinear temperature distribution equation in a longitudinal porous fin. This study is performed using passage velocity from the Darcy's model to formulate the heat transfer equation through porous media. The heat generation is assumed to be a function of temperature. The effects of the natural convection parameter Nc, internal heat generation εg, porosity Sh and generation number G parameter on the dimensionless temperature distribution are discussed. Also, numerical calculations called the fourth order Runge-Kutta method were carried out for the various parameters entering into the problem for validation. Results reveal that analytical approaches are very effective and convenient. Also it is found that these methods can achieve more suitable results compared to numerical methods.

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“…Jeffrey 3 and Hamel 4 are among the most famous researchers of the last century whose studies focused on the flow of viscous, incompressible fluids through convergent and divergent channels. Furthermore, several approaches are investigated by many researchers for solving non-linear problems and the effects of Magnetohydrodynamic(MHD) for different fluids and geometries, such as 5-8 .In this paper, one of the most important approaches is employed for highly nonlinear problems, known as perturbation iteration scheme PIS(M,N) 9-12 where M is the number of correction terms in the perturbation expansion and N denotes the highest-order derivational term in the Taylor series, where M is always less than or equal to N. which is used to analyze an ordinary differential equations 8 . PIS is a type of analytical approach for discovering approximate-analytical solutions to nonlinear equations that cannot be solved exactly.…”

Section: Introductionmentioning

confidence: 99%

Semi-Analytical Assessment of Magneto-Hydrodynamic Nano-Fluid Flow Jeffrey- Hamel Problem

Abdulridah

Jasim

2023

Baghdad Sci.J

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In this paper, analyzing the non-dimensional Magnesium-hydrodynamics problem Using nanoparticles in Jeffrey-Hamel flow (JHF) has been studied. The fundamental equations for this issue are reduced to a three-order ordinary differential equation. The current project investigated the effect of the angles between the plates, Reynolds number, nanoparticles volume fraction parameter, and magnetic number on the velocity distribution by using analytical technique known as a perturbation iteration scheme (PIS). The effect of these parameters is similar in the converging and diverging channels except magnetic number that it is different in the divergent channel. Furthermore, the resulting solutions with good convergence and high accuracy for the different values of the physical parameters are in the form a power-series of the problem posed. The efficiency of this method is shown by comparison between for different cases between computed results with numerical solution and solutions by other methods.

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Transverse magnetic field on Jeffery–Hamel problem with Cu–water nanofluid between two non parallel plane walls by using collocation method

Cited by 22 publications

References 19 publications

Haar wavelet solution of the MHD Jeffery-Hamel flow and heat transfer in Eyring-Powell fluid

Haar wavelet solution of the MHD Jeffery-Hamel flow and heat transfer in Eyring-Powell fluid

Thermal performance of porous fins with temperature-dependent heat generation via the homotopy perturbation method and collocation method

Semi-Analytical Assessment of Magneto-Hydrodynamic Nano-Fluid Flow Jeffrey- Hamel Problem

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