The motion of a non-Newtonian nanofluid over a semi-infinite moving vertical plate through porous medium with heat and mass transfer

Eldabe, Nabil T.; Gabr, M.; ElShekhipy, A. A.; Zaher, S. A.

doi:10.2298/tsci180604021e

Cited by 23 publications

(6 citation statements)

References 24 publications

(27 reference statements)

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“…Many researchers have paid attention to viscoelastic materials for a quite long time, especially in the last two decades, and have made a lot of progress, taking into account viscoelastic fluid, which achieved major attention due to its application in different physiological and industrial processes. In the same content, nanofluid has become an interesting objective which describes various phenomena such as electrical conductivity, especially in the bubble electrospinning [1][2][3], heat transfer on solid particle motion [4], biologically inspired peristaltic transport [5], and rheology controlled by the concentration of the added particles (such as SiC) [6]. In addition to studying the specific properties of viscoelastic materials, numerous researchers have considered the extensions of the mathematical model for viscoelastic problems and have obtained many interesting properties of solutions such as global existence, decay, and blow-up result.…”

Section: Introductionmentioning

confidence: 99%

High-Order Iterative Scheme for a Viscoelastic Wave Equation and Numerical Results

Quynh

Nam

Thanh

et al. 2021

Mathematical Problems in Engineering

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In this paper, we consider a Robin problem for a viscoelastic wave equation. First, by the high-order iterative method coupled with the Galerkin method, the existence of a recurrent sequence via an N -order iterative scheme is established, and then the N -order convergent rate of the obtained sequence to the unique weak solution of the proposed model is also proved. Next, with N = 2 , a numerical algorithm given by the finite-difference method is constructed to approximate the solution via the 2-order iterative scheme. Moreover, the same algorithm for the single-iterative scheme generated by the 2-order iterative scheme is also considered. Finally, comparison with errors of the numerical solutions obtained by the single-iterative scheme and the 2-order iterative scheme shows that the convergent rate of the 2-order iterative scheme is faster than that of the single-iterative scheme.

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Section: Introductionmentioning

confidence: 99%

High-Order Iterative Scheme for a Viscoelastic Wave Equation and Numerical Results

Quynh

Nam

Thanh

et al. 2021

Mathematical Problems in Engineering

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“…El-Hakiem et al 8 inspected the amount of mass transport on buoyancy-induced power-law fluid over a plate. For the Eyring-Powell model, El-Dabe et al 9 investigated the motion of a nanofluid over a plate by an external uniform magnetic field. Idowu et al 10 explored the transfer characteristics (heat as well mass) of both Casson and viscoelastic fluids like polymethyl, methacrylate, chromatography, and so forth numerically.…”

Section: Introductionmentioning

confidence: 99%

Effects of chemical reaction, Soret and Lorentz force on Casson fluid flow past an exponentially accelerated vertical plate: A comprehensive analysis

2021

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The aim of the current study is to explore the effects of heat and mass transfer on unsteady chemically reacted Casson liquid flow over an exponentially accelerated vertical plate in a porous medium. It is assumed that the bounding plate has varying temperatures as well as concentrations in a porous medium under a uniform magnetic field. This phenomenon is modeled in the form of a system of partial differential equations (PDEs) with boundary conditions. The governing dimensionless PDEs are solved using Laplace transform method for velocity, temperature, and concentration. The impact of nondimensional parameters, which are controlling the flow like Casson parameter, Soret number, magnetic parameter, heat generation parameter, Prandtl number, radiation parameter, and Schmidt number is analyzed through graphs. The incremental values of the Casson fluid parameter lead to a reduction in velocity and discovered that for large values of the Casson parameter, the fluid is near to the Newtonian fluid. Also, the Sherwood number increases with enhancing dissimilar estimators of the Schmidt and Soret numbers. A comparison has been made with the published work (Kataria et al.) for a particular case, which was in good agreement.

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“…Ramzan et al 15 determined the optimal solution of Maxwell nanofluid flow problem. For more important and significant results for the effect of nanoparticles and how it improves the thermal conductivity of nanofluids see also References [16‐21].…”

Section: Introductionmentioning

confidence: 99%

The effect of Joule heating and viscous dissipation on the boundary layer flow of a magnetohydrodynamics micropolar‐nanofluid over a stretching vertical Riga plate

et al. 2021

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Joule heating and viscous dissipation effects on the behavior of the boundary layer flow of a micropolar nanofluid over a stretching vertical Riga plate (electro magnetize plate) are considered. The flow is disturbed by an external electric magnetic field. The problem is formulated mathematically by nonlinear system of partial differential equations (PDEs). By using suitable variables transformations, this system is transformed onto a system of nonlinear ordinary differential equations (ODEs). The Parametric NDsolve package of the commercial software Mathematica is used to solve the obtained ODEs as well as the considered numerical results for different physical parameters with appropriate boundary conditions. Novel results are obtained by studying the stream lines flow around the plate in two and three dimensions. Moreover, the effects of the pertinent parameters on the skin friction coefficient, couple stress, local Nusselt, and Sherwood number are discussed. Special cases of the obtained results show excellent agreements with previous works. The results showed that as the magnetic field parameter increases the velocity of the boundary layer adjacent to the stretching sheet decreases. Also, for a productive chemical reaction near the sheet surface, the angular velocity decreases but opposite trend is observed far from the sheet surface. The importance of this study comes from its significant applications in many scientific fields, such as nuclear reactors, industry, medicine, and geophysics.

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The motion of a non-Newtonian nanofluid over a semi-infinite moving vertical plate through porous medium with heat and mass transfer

Cited by 23 publications

References 24 publications

High-Order Iterative Scheme for a Viscoelastic Wave Equation and Numerical Results

High-Order Iterative Scheme for a Viscoelastic Wave Equation and Numerical Results

Effects of chemical reaction, Soret and Lorentz force on Casson fluid flow past an exponentially accelerated vertical plate: A comprehensive analysis

The effect of Joule heating and viscous dissipation on the boundary layer flow of a magnetohydrodynamics micropolar‐nanofluid over a stretching vertical Riga plate

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