Investigation of thermal radiation on traditional Jeffery–Hamel flow to stretchable convergent/divergent channels

Gerdroodbary, M. Barzegar; Takami, M. Rahimi; Ganji, D.D.

doi:10.1016/j.csite.2015.04.002

Cited by 49 publications

(13 citation statements)

References 41 publications

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“…[3][4][5] Jeffery-Hamel flows are considered with various other flow conditions and the effects of many other fluid characteristics have been investigated. 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.…”

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 simulations were performed using an implicit CFD code [33][34][35][36][37][38][39]. This code solves NavierStokes equations using cell centered finite volume approach.…”

Section: Treatment Of Numericalmentioning

confidence: 99%

Numerical study of shock wave interaction on transverse jets through multiport injector arrays in supersonic crossflow

2015

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“…Comparison between the HAM solutions and the numerical results based on fourth–fifth order Runge–Kutta (RKF45) method revealed the accuracy of this scheme. In Gerdroodbary et al, the effect of thermal radiation on the classical Jeffery–Hamel flow has been studied numerically by using the collocation method (CM) and the least‐square method. As mentioned in Gerdroodbary et al, the temperature profiles increase with increasing thermal radiation parameter for the convergent/divergent channels.…”

Section: Introductionmentioning

confidence: 99%

“…In Gerdroodbary et al, the effect of thermal radiation on the classical Jeffery–Hamel flow has been studied numerically by using the collocation method (CM) and the least‐square method. As mentioned in Gerdroodbary et al, the temperature profiles increase with increasing thermal radiation parameter for the convergent/divergent channels. Ganji and Azimi utilized the differential transformation method (DTM) to investigate the MHD Jeffery–Hamel flow with nanoparticles between two nonparallel plates.…”

Section: Introductionmentioning

confidence: 99%

Barycentric rational interpolation method for numerical investigation of magnetohydrodynamics nanofluid flow and heat transfer in nonparallel plates with thermal radiation

Torkaman

Heydari

Loghmani

et al. 2019

Heat Trans. Asian Res.

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In this study, the problem of heat transfer in the steady two-dimensional flow of an incompressible viscous magnetohydrodynamics nanofluid from a sink or source between two shrinkable or stretchable plates under the effect of thermal radiation has been studied. The governing differential equations have been solved numerically using a collocation method based on the barycentric rational basis functions. This method employs the derivative operational matrix of the barycentric rational bases and the weights that were introduced by Floater and Hormann. The influence of some embedding parameters, such as the solid volume fraction ϕ, the Reynolds number Re, the Hartmann number Ha, the Prandtl number Pr, the radiation parameter N , the stretching-shrinking parameter, C, and the angle of the channel α on the temperature distribution and velocity profile has been illustrated by graphs and tables. Numerical results reveal the efficiency and high accuracy of the proposed scheme compared to the previously existing solutions.Furthermore, the implementation of the proposed method is fast and the run time is short.linear barycentric rational interpolant, magnetohydrodynamic flow, nanofluid, operational matrix of derivative, stretchable or shrinkable walls, thermal radiation | INTRODUCTIONThe study of fluid flow between nonparallel plates is the focus of many research studies in the fields of engineering and science. This type of fluid flow is widely used in fluid mechanics, biomechanics, and electrical engineering. In the early 19th century, this kind of fluid flow, which is known as the Jeffrey-Hamel flow, was investigated by Jeffery 1 and Hamel. 2 The basic concept of magnetohydrodynamics (MHD) was first provided by Alfvén 3 in 1942, and it has important applications in engineering sciences, such as pumps, flow meters, MHD power generation, modeling of cooling systems based on liquid metals, and so on. [4][5][6][7] Most of the governing differential equations arising in engineering and physics are nonlinear, and, in most cases, it is not possible to obtain accurate and analytical solutions. Therefore, numerical or semianalytical techniques are utilized to solve such problems. Various numerical and semianalytical methods have been proposed for solving nonlinear problems arising in MHD nanofluid flow and heat transfer. In Esmaili et al, 8,9 the Adomian decomposition method is applied to obtain an approximate solution of the Jeffery-Hamel flow problem. Moghimi et al 10 used the homotopy perturbation method to solve the MHD Jeffery-Hamel flow problem. Also, Moghimi et al 11 employed the homotopy analysis method for the numerical solution of nonlinear MHD Jeffery-Hamel flows in nonparallel plates. Comparison between the HAM solutions and the numerical results based on fourth-fifth order Runge-Kutta (RKF45) method revealed the accuracy of this scheme. In Gerdroodbary et al, 12 the effect of thermal radiation on the classical Jeffery-Hamel flow has been studied numerically by using the collocation method (CM) and the least-square me...

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Investigation of thermal radiation on traditional Jeffery–Hamel flow to stretchable convergent/divergent channels

Cited by 49 publications

References 41 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

Numerical study of shock wave interaction on transverse jets through multiport injector arrays in supersonic crossflow

Barycentric rational interpolation method for numerical investigation of magnetohydrodynamics nanofluid flow and heat transfer in nonparallel plates with thermal radiation

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