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Application of dtm on mhd jeffery hamel problem with nanoparticle
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TLDR
In this article, the velocity profile in the steady 2-dimensional flow of a MHD fluid with nanoparticles between two nonparallel walls has been investigated and a similarity transformation is used to reduce the partial differential equations modeling the flow, to a single third-order nonlinear differential equation containing the semi angle between the plates, Reynolds number, the magnetic field strength and nanoparticle volume fraction as parameters.Abstract:
In this paper, the MHD Jeffery Hamel problem with nanoparticles for various values of Hartmann number has been investigated. The present study discusses about the velocity profile in the steady 2-dimensional flow of a MHD fluid with nanoparticles between two nonparallel walls. At first a similarity transformation is used to reduce the partial differential equations modeling the flow, to a single third-order nonlinear differential equation containing the semi angle between the plates, Reynolds number, the magnetic field strength and nanoparticle volume fraction as parameters. Differential Transformation method (DTM) has been used in order to study the problem and finally the obtained analytical results have been compared with numerical solutions and results achieved from pervious works in some numerical cases.read more
Citations
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Irreversibility analysis in micropolar fluid film along an incline porous substrate with slip effects
TL;DR: In this paper, the authors examined the semi-analytical solution for the rate of entropy generation in a steady, gravity-driven thin film flow of a micropolar fluid descending over a heated inclined substrate with slip constraints.
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Heat transfer analysis of GO-water nanofluid flow between two parallel disks
Mohammadreza Azimi,Rouzbeh Riazi +1 more
TL;DR: In this paper, the Galerkin optimal homotopy asymptotic method (GOHAM) was used to obtain the solution of the governing equations of the MHD squeezing flow between two parallel disks.
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Unsteady time-dependent incompressible Newtonian fluid flow between two parallel plates by homotopy analysis method (HAM), homotopy perturbation method (HPM) and collocation method (CM)
TL;DR: In this article, the effect of Reynolds number and suction or injection characteristic parameter on the velocity field was investigated and the velocity fields have been computed graphically for various values of physical parameters.
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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
TL;DR: In this paper, an analysis has been performed to study the problem of magneto-hydrodynamic (MHD) Jeffery-Hamel flow with nanoparticles and the governing equations for this problem are reduced to an ordinary form and is solved using collocation method (CM) and numerically by fourth order Runge-Kutta technique.
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MHD copper-water nanofluid flow and heat transfer through convergent-divergent channel
Mohammadreza Azimi,Rouzbeh Riazi +1 more
Abstract: This work is focused on the analytical solution of a nanofluid consisting of pure water with copper nanoparticle steady flow through convergent-divergent channel. The velocity and temperature distributions are determined by a novel method called Reconstruction of variational iteration method (RVIM). The effects of angle of the channel, Reynolds and Hartmann numbers on the nanofluid flow are then investigated. The influences of solid volume fraction and Eckert number upon the temperature distribution are discussed. Based on the achieved results, Nusselt number enhances with increment of solid volume fraction of nanoparticles, Reynolds and Eckert numbers. Also the fourth order Runge-Kutta method, which is one of the most relevant numerical techniques, is used to investigate the validity and accuracy of RVIM and good agreement is observed between the solutions obtained from RVIM and some known numerical results.
References
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Estimation of Thermal Conductivity of Nanofluid Using Experimental Effective Particle Volume
TL;DR: In this paper, the thermal conductivities of nanofluid containing a small amount of ultra-dispersed diamond (UDD), silver, and silica nanoparticles were measured using a transient hot-wire method.
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Analytical investigation of Jeffery-Hamel flow with high magnetic field and nanoparticle by Adomian decomposition method
TL;DR: In this article, the effects of magnetic field and nanoparticle on the Jeffery-Hamel flow are studied using a powerful analytical method called the Adomian decomposition method (ADM), which reduces the traditional Navier-Stokes equation of fluid mechanics and Maxwell's electromagnetism governing equations to nonlinear ordinary differential equations to model the problem.