Magnetohydrodynamic (MHD) Boundary Layer Flow Past a Wedge with Heat Transfer and Viscous Effects of Nanofluid Embedded in Porous Media

Ibrahim, Wubshet; Tulu, Ayele

doi:10.1155/2019/4507852

Cited by 57 publications

(29 citation statements)

References 27 publications

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“…This study presents a mathematical model of unsteady boundary layer flow of Williamson nanofluid past a stretching/Shrinking permeable wedge with thermal radiation, viscous dissipation and chemical reaction. The study extended the previous work of Wubshet and Ayele [19] by taking into consideration the effects of unsteadiness parameter, Williamson fluid, chemical reaction, slip effect\and the passively controlled boundary condition. Fluid suction/injection is imposed on the wedge surface.…”

Section: Discussionmentioning

confidence: 78%

Viscous dissipation effect on Williamson nanofluid over stretching/shrinking wedge with thermal radiation and chemical reaction

Ibrahim

Negera

2020

J. Phys. Commun.

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This paper scrutinizes the effect of viscous dissipation on unsteady two-dimensional boundary layer flow of Williamson nanofluid over a stretching/Shrinking wedge. To express the boundary condition in concentration problem the passive control concept used. The governing PDEs are converted to ODEs by means of a similarity transformation before being solved numerically by finite difference scheme called Keller-Box method. The equations were numerically solved by using Matlab software 2013a. The characteristics of parameters such as wedge angle, unsteadiness, Williamson, slip, Brownian motion, thermophoresis, chemical reaction parameters, Prandtl number, Biot-number, Eckert number and Lewis number on velocity, concentration and temperature profiles and skin friction coefficient, Nusselt number and Sherwood number are presented in graphs and tables. The result of the study designates that the velocity profiles increased with an upsurge of wedge angle, unsteady parameter and suction parameter while it is diminished with an increase of Williamson and injection parameter. The temperature profiles upsurges with the distended Williamson parameter, Biot number and injection parameter, while it is declined for large values of wedge angle, unsteady and suction parameter. With an increase of Williamson, unsteady and suction parameter the concentration profiles upsurges, while it is decreased with an increase of wedge angle and injection parameter. The numerical results are compared with available literature and obtained a good agreement.Nomenclature

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Section: Discussionmentioning

confidence: 78%

Viscous dissipation effect on Williamson nanofluid over stretching/shrinking wedge with thermal radiation and chemical reaction

Ibrahim

Negera

2020

J. Phys. Commun.

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“…Governing equations of the flow are highly nonlinear-coupled differential equations and solved numerically by employing spectral quasi-linearization method (SQLM). e spectral collocation method converges fast and provides more accurate approximations with less grid points (Motsa [44], Ibrahim and Tulu [45], and Uddin et al [46]). To the best of the authors' knowledge, no analysis has been published so far in this direction.…”

Section: Introductionmentioning

confidence: 99%

MHD Slip Flow of CNT-Ethylene Glycol Nanofluid due to a Stretchable Rotating Disk with Cattaneo–Christov Heat Flux Model

Tulu

Ibrahim

2020

Mathematical Problems in Engineering

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This article deals with carbon nanoliquid flow due to stretchable rotating disk with the effect of Cattaneo–Christov heat flux model. Both SWCNTs and MWCNTs are considered with ethylene glycol as the base fluid. The effects of nanoparticle volume friction, normally applied magnetic field, stretching factor, velocity, and thermal slip factors are examined. The fundamental flow governing equations are transformed into dimensionless system of coupled nonlinear ordinary differential equations, and they are solved numerically using spectral quasi-linearization method (SQLM). Employing graphs and tables, the results of velocity and temperature fields as well as skin friction coefficient and local heat transfer rate are analyzed and presented via embedded parameters. The results reveal that higher velocity fields and lower temperature fields are noticed in the MWCNT nanofluids than SWCNT nanofluids. The higher incidence of magnetic field improves the thermal boundary layer thickness. A growth in velocity slip factor reduces the momentum boundary layer thickness of the nanoliquid flow. Generally, radial stretching of the disk is helpful in improving the cooling process of the rotating disk in practical applications.

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“…Elgazery 23 presented the magnetic field impact on nanofluid flow over an unsteady permeable stretching surface by considering a nonuniform heat source/sink. Ibrahim and Tulu 24 researched the MHD flow of a nanofluid with heat transfer treatment embedded in porous media. Recently, many researchers 25–39 have investigated with or without MHD effects on nanoparticles.…”

Section: Introductionmentioning

confidence: 99%

MHD rotating flow of a Maxwell fluid with Arrhenius activation energy and non‐Fourier heat flux model

Ramaiah¹,

Surekha

Gangadhar

et al. 2020

Heat Trans

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In the present work, the effects of the transfer of heat, as well as the mass phenomenon of a Maxwell fluid in revolving flow over a unidirectional stretching surface are discussed. The result of the magnetic field within the boundary layer is considered. In the energy equation, the heat flux model of non-Fourier Cattaneo-Christov is employed. The customized Arrhenius function for energy activation is used. By using the transformation strategy, nondimensional expressions are achieved. To predict the highlights of the current effort, the result of the emerging nonlinear differential structure is calculated with the aid of the shooting procedure as well as the Runge-Kutta Fehlberg procedure. The influence of velocity and temperature along with concentration profiles for various physical parameters is analyzed. The involvement of fluid relaxation and thermal retardation phenomena is unequivocally mentioned.The evolution of heat transfer, as well as the rate of mass in the flow of fluids, is illustrated by the use of graphs in addition to tables. Furthermore, the current effort is confirmed by examination with previously published results, which establishes a strategy for the execution of a numerical approach. It is observed that the concentration of a solute in dual combination is relative to both rotation parameters along with activation energy. Besides this, a diminishing pattern in the distribution of temperature is described within the existence of the Cattaneo-Christov flux law by association with the rate of heat transfer because of Fourier's law. The present investigation can be applied in numerous engineering and technical procedures including the development of thin sheets, modeling of plastic sheets, in the lubrication system industry related to polymers, compression, and injection shaping in the area of chemical production and bimolecular reactions. Inspired by those applications, the present work is undertaken. K E Y W O R D S Arrhenius activation energy, Cattaneo-Christov heat flux model, chemical reaction, Maxwell fluid, MHD, rotating frame

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Magnetohydrodynamic (MHD) Boundary Layer Flow Past a Wedge with Heat Transfer and Viscous Effects of Nanofluid Embedded in Porous Media

Cited by 57 publications

References 27 publications

Viscous dissipation effect on Williamson nanofluid over stretching/shrinking wedge with thermal radiation and chemical reaction

Viscous dissipation effect on Williamson nanofluid over stretching/shrinking wedge with thermal radiation and chemical reaction

MHD Slip Flow of CNT-Ethylene Glycol Nanofluid due to a Stretchable Rotating Disk with Cattaneo–Christov Heat Flux Model

MHD rotating flow of a Maxwell fluid with Arrhenius activation energy and non‐Fourier heat flux model

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