Heat and mass transfer investigation of MHD Eyring–Powell flow in a stretching channel with chemical reactions

Seyedi, S. Hadi; Saray, Behzad Nemati; Chamkha, Ali J.

doi:10.1016/j.physa.2019.124109

Cited by 42 publications

(25 citation statements)

References 43 publications

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“…An analytical investigation is made by Magyari and Chamkha [3] to discuss the combined effect of heat generation or absorption and first-order chemical reaction on micropolar fluid flow via a permeable stretched surface. Seyadi et al [4] studied numerically the behavior of heat and mass transfer of MHD Eyring-Powell flow in a stretching channel along with the effects of radiation, chemical reaction and heat generation/absorption. They used a high accuracy numerical method based on the Galerkin method with Multi-wavelet basis (MWGM) to obtain the solutions of coupled differential equations.…”

Section: Introductionmentioning

confidence: 99%

Non-linear MHD convective flow of Carreau nanofluid over an exponentially stretching surface with activation energy and viscous dissipation

Babu

Parandhama²,

Vijaya

2021

SN Appl. Sci.

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Numerical approach for a non-linear mixed convective magnetohydrodynamic two-dimensional Carreau nanofluid through an exponentially permeable stretching surface with viscous dissipation and velocity slip under the influence of Arrhenius activation energy in chemical reaction is reported. The effects of thermophoresis and Brownian motion are considered. The governing nonlinear equations of this model are transmuted into ODE’s through similarity variables and solved them with a shooting method based on R-K 4th order. Responses of fluid velocity, transfer rates (heat and mass) versus pertinent parameters of the problem for suitable values are obtained and the computational calculations for friction coefficient, Nusselt number and Sherwood number for the both suction and injections regions are presented in plots and tables. It is found that fluid velocity is an increasing function of Weissenberg number. Momentum boundary layer thickness is depressed by magnetic field impact. Increasing trend in Carreau fluid temperature is noticed due to larger values of thermophoresis and Brownian motion effects. Concentration field is a decreasing function of Brownian motion but an increasing function of thermophoresis. Activation energy augments the concentration curves and lowered by Schmidt number. Comparison of the results is made with already published results and we got good agreement.

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Section: Introductionmentioning

confidence: 99%

Non-linear MHD convective flow of Carreau nanofluid over an exponentially stretching surface with activation energy and viscous dissipation

Babu

Parandhama²,

Vijaya

2021

SN Appl. Sci.

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“…In order to achieve this goal, various methods have been developed for linear and nonlin-ear equations, such as the Exp-function method [5], the homotopy analysis method [6], the homotopy perturbation method [7], the (G'/G)-expansion method [8], the improved tan(φ/2)-expansion method [9,10], the Hirota bilinear method [11,12,[59][60][61][62][63][64][65][66][67], the He variational principle [13,14], the binary Darboux transformation [15], the Lie group analysis [16,17], the Bäcklund transformation method [18], and the multiple Exp-function method [19,20]. Moreover, many powerful methods have been used to investigate the new properties of mathematical models which are symbolizing serious real world problems [21,22,68,69]. The utilized methods which employed by powerful researchers are such methods as the Exp-function method, the multiple Exp-function method, (G'-G)expansion method-but we should not forget to mention that these methods continue to attract a wave of criticism.…”

Section: Introductionmentioning

confidence: 99%

Localized waves and interaction solutions to the fractional generalized CBS-BK equation arising in fluid mechanics

et al. 2021

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The Hirota bilinear method is employed for searching the localized waves, lump–solitons, and solutions between lumps and rogue waves for the fractional generalized Calogero–Bogoyavlensky–Schiff–Bogoyavlensky–Konopelchenko (CBS-BK) equation. We probe three cases including lump (combination of two positive functions as polynomial), lump–kink (combination of two positive functions as polynomial and exponential function) called the interaction between a lump and one line soliton, and lump–soliton (combination of two positive functions as polynomial and hyperbolic cos function) called the interaction between a lump and two-line solitons. At the critical point, the second-order derivative and the Hessian matrix for only one point will be investigated and the lump solution has one maximum value. The moving path of the lump solution and also the moving velocity and the maximum amplitude will be obtained. The graphs for various fractional orders α are plotted to obtain 3D plot, contour plot, density plot, and 2D plot. The physical phenomena of this obtained lump and its interaction soliton solutions are analyzed and presented in figures by selecting the suitable values. That will be extensively used to report many attractive physical phenomena in the fields of fluid dynamics, classical mechanics, physics, and so on.

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“…Particularly, with the revolution in computer technology and symbolic programming, many new algorithms are proposed by many mathematicians, engineers and physicists. With the help of these techniques, many researchers analyze various classes of nonlinear systems and present some simulating results [12–56]. For instance, authors in [34, 35] studied logistic models within the frame of FC and illustrated some interesting consequences.…”

Section: Introductionmentioning

confidence: 99%

New numerical simulation for fractional Benney–Lin equation arising in falling film problems using two novel techniques

Gao

Veeresha

Prakasha

et al. 2020

Numerical Methods Partial

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The pivotal aim of the present work is to find the numerical solution for fractional Benney-Lin equation by using two efficient methods, called q-homotopy analysis transform method and fractional natural decomposition method. The considered equation exemplifies the long waves on the liquid films. Projected methods are distinct with solution procedure and they are modified with different transform algorithms. To illustrate the reliability and applicability of the considered solution procedures we consider eight special cases with different initial conditions. The fractional operator is considered in Caputo sense. The achieved results are drowned through two and three-dimensional plots for different Brownian motions and classical order. The numerical simulations are presented to ensure the efficiency of considered techniques. The behavior of the obtained results for distinct fractional order is captured in the present framework. The outcomes of the present investigation show that, the considered schemes are efficient and powerful to solve nonlinear differential equations arise in science and technology.

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Heat and mass transfer investigation of MHD Eyring–Powell flow in a stretching channel with chemical reactions

Cited by 42 publications

References 43 publications

Non-linear MHD convective flow of Carreau nanofluid over an exponentially stretching surface with activation energy and viscous dissipation

Non-linear MHD convective flow of Carreau nanofluid over an exponentially stretching surface with activation energy and viscous dissipation

Localized waves and interaction solutions to the fractional generalized CBS-BK equation arising in fluid mechanics

New numerical simulation for fractional Benney–Lin equation arising in falling film problems using two novel techniques

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