Numerical study of magnetohydrodynamics generalized Couette flow of Eyring-Powell fluid with heat transfer and slip condition

Ellahi, R.; Shivanian, Elyas; Abbasbandy, S.; Hayat, Tasawar

doi:10.1108/hff-04-2015-0131

Cited by 113 publications

(47 citation statements)

References 20 publications

(10 reference statements)

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“…The method is tested by modeling flow in a pipeline, Poisseuille flow, Couette flow and flow in porous media. These classical flows are used in different ways to solve fluid dynamics problems [35][36][37].The present paper is organized as follows. In Section 2, the FDPM is given to solve the Navier-Stokes equations.…”

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confidence: 99%

A Particle Method Based on a Generalized Finite Difference Scheme to Solve Weakly Compressible Viscous Flow Problems

Zhang

Xiong

2019

Symmetry

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The Lagrangian meshfree particle-based method has advantages in solving fluid dynamics problems with complex or time-evolving boundaries for a single phase or multiple phases. A pure Lagrangian meshfree particle method based on a generalized finite difference (GFD) scheme is proposed to simulate time-dependent weakly compressible viscous flow. The flow is described with Lagrangian particles, and the partial differential terms in the Navier-Stokes equations are represented as the solution of a symmetric system of linear equations through a GFD scheme. In solving the particle-based symmetric equations, the numerical method only needs the kernel function itself instead of using its gradient, i.e., the approach is a kernel gradient free (KGF) method, which avoids using artificial parameters in solving for the viscous term and reduces the limitations of using the kernel function. Moreover, the order of Taylor series expansion can be easily improved in the meshless algorithm. In this paper, the particle method is validated with several test cases, and the convergence, accuracy, and different kernel functions are evaluated.2 of 21 rising bubbles [3] and coalescing [4]. The ability of this method to model non-Newtonian fluid and large scale diffuse fluids has been demonstrated in some recent works [5,6] by introducing different symmetric models. Moreover, because the computations are based on the support domain, which is much smaller than the complete computational region, the ill conditioned system problem is rarely encountered. Among all Lagrangian meshfree methods, the smoothed particle hydrodynamics (SPH) method was one of the earliest methods developed and has been widely applied in different fields. The SPH method was first pioneered independently by Lucy [7] and Gingold and Monaghan [8] to solve astrophysical problems in 1977. Details of the SPH method as a computational fluid dynamics method can be found in recent reviews [9][10][11][12] and Liu and Liu's book [13]. Some successful applications of this method include coastal engineering, nuclear engineering, ocean engineering, and bioengineering. However, the accuracy of the conventional SPH method is unsatisfactory, and it is not easy to achieve an accurate high-order SPH approach.As a meshfree Lagrangian method, the particle distribution generally tends to be irregular in the computations, which leads to inconsistency and low accuracy [14,15]. For that reason, in some cases, only the first-order term of the fluid dynamics equations, the Navier-Stokes equations, is solved, and the viscous term, which contains the second-order differential, is obtained through the artificial viscosity with artificial parameters in the SPH method. This issue can also occur in the incompressible SPH (ISPH) method [16]. To improve the consistency and accuracy of these methods, different modifications have been developed. After using Taylor series expansion to normalize the kernel function, the corrective smoothed particle method (CSPM) [17,18] and the modified smoothed particle meth...

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confidence: 99%

A Particle Method Based on a Generalized Finite Difference Scheme to Solve Weakly Compressible Viscous Flow Problems

Zhang

Xiong

2019

Symmetry

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“…So non-Newtonian power law shear-thinning fluids with proper characteristics are another factor that has great influence on heat transfer and flow resistance. Ellahi et al studied the generalized Couette flow of an Eyring-Powell fluid [19] and unsteady impressible flow of non-Newtonian micropolar fluid [20], whereby the physical problem of a micropolar fluid through a composite stenosis in an artery with permeable walls was first modelled and then simplified by using non-dimensional variables, thus obtaining many useful results. Nadeem and Sadaf [21] analysed two dimensional flow of a viscous nanofluid in an annulus with ciliated tips.…”

Section: Introductionmentioning

confidence: 99%

Heat Transfer and Entropy Generation of Non-Newtonian Laminar Flow in Microchannels with Four Flow Control Structures

Yang

Zhang

Xie

et al. 2016

Entropy

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Flow characteristics and heat transfer performances of carboxymethyl cellulose (CMC) aqueous solutions in the microchannels with flow control structures were investigated in this study. The researches were carried out with various flow rates and concentrations of the CMC aqueous solutions. The results reveal that the pin-finned microchannel has the most uniform temperature distribution on the structured walls, and the average temperature on the structured wall reaches the minimum value in cylinder-ribbed microchannels at the same flow rate and CMC concentration. Moreover, the protruded microchannel obtains the minimum relative Fanning friction factor f /f 0 , while, the maximum f /f 0 is observed in the cylinder-ribbed microchannel. Furthermore, the minimum f /f 0 is reached at the cases with CMC2000, and also, the relative Nusselt number Nu/Nu 0 of CMC2000 cases is larger than that of other cases in the four structured microchannels. Therefore, 2000 ppm is the recommended concentration of CMC aqueous solutions in all the cases with different flow rates and flow control structures. Pin-finned microchannels are preferred in low flow rate cases, while, V-grooved microchannels have the minimum relative entropy generation S'/S 0 ' and best thermal performance TP at CMC2000 in high flow rates.

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“…The study of this fluid types takes into account many physical parameters that can essentially influence their behaviors. Examples of these effects, are magnetic, thermal radiation, nanoparticles and magnetohydrodynamics [3,6,8,13]. Specifically, we must be familiar with the rheology of these products.…”

Section: Introductionmentioning

confidence: 99%

Explicit solution for some generalized fluids in laminar flow with slip boundary conditions

Chamekh¹,

Elzaki²

2018

J. Math. Computer Sci.

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In this study, we present a new approximation method to give an explicit solution of a laminar flow using a Sisko model. This is a problem of a generalized Newtonian fluid with slip boundary conditions. The proposed method is based on the variational iteration method (VIM) combined with an approximation step. This method is validated where the exact solution is available. In addition, in order to enrich the discussion, a numerical method is presented. The results illustrate that the VIM may be more effective that the finite difference method for a dilatant fluid. However, the VIM will be inappropriate for pseudoplastic fluid cases.

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Numerical study of magnetohydrodynamics generalized Couette flow of Eyring-Powell fluid with heat transfer and slip condition

Cited by 113 publications

References 20 publications

A Particle Method Based on a Generalized Finite Difference Scheme to Solve Weakly Compressible Viscous Flow Problems

A Particle Method Based on a Generalized Finite Difference Scheme to Solve Weakly Compressible Viscous Flow Problems

Heat Transfer and Entropy Generation of Non-Newtonian Laminar Flow in Microchannels with Four Flow Control Structures

Explicit solution for some generalized fluids in laminar flow with slip boundary conditions

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