Magnetohydrodynamic Boundary Layer Flow of a Viscoelastic Fluid Past a Nonlinear Stretching Sheet in the Presence of Viscous Dissipation Effect

Jafar, Ahmad Banji; Shafie, Sharidan; Ullah, Imran

doi:10.3390/coatings9080490

Cited by 16 publications

(8 citation statements)

References 40 publications

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“…Mustapha 20 examined the analytical solution of viscoelastic fluid generated by a nonlinearly stretching sheet by employing the method of homotopy analysis. The impact of viscous dissipation on the viscoelastic fluid flow caused by a vertical nonlinear stretching sheet was quantitatively examined by Jafar et al 21 while Seth et al 22 investigated the influence of velocity slip on the Dufour and Soret phenomena of MHD viscoelastic fluid created by a nonlinearly stretched surface. It was found that the viscoelasticity parameter reduces the fluid’s temperature.…”

Section: Introductionmentioning

confidence: 99%

“…The temperature of the fluid, is also considered as a nonlinear function of the distance from the slit, where is a positive constant and is the ambient temperature of the fluid. Thus, using the conventional boundary layer approximation, the viscoelastic fluid equations governing the momentum and energy equations may be expressed as follows 11 , 21 . where and are the fluid flow's velocity components along and directions, , , , , , , , and are respectively, the viscosity, kinematic viscosity, material constant, fluid density, electrical conductivity, gravitational acceleration, thermal expansion coefficient, heat capacitance, radiative heat flux, and thermal conductivity of the fluid.…”

Section: Introductionmentioning

confidence: 99%

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Mixed convection flow of an electrically conducting viscoelastic fluid past a vertical nonlinearly stretching sheet

Jafar

Shafie

Ullah

et al. 2022

Sci Rep

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The study of hydromagnetic mixed convection flow of viscoelastic fluid caused by a vertical stretched surface is presented in this paper. According to this theory, the stretching velocity varies as a power function of the displacement from the slot. The conservation of energy equation includes thermal radiation and viscous dissipation to support the mechanical operations of the heat transfer mechanism. Through the use of an adequate and sufficient similarity transformation for a nonlinearly stretching sheet, the boundary layer equations governing the flow issue are converted into a set of ordinary differential equations. The Keller box technique is then used to numerically solve the altered equations. To comprehend the physical circumstances of stretching sheets for variations of the governing parameters, numerical simulations are made. The influence and characteristic behaviours of physical parameters were portrayed graphically for the velocity field and temperature distributions. The research shows that the impact of the applied magnetic parameter is to improve the distribution of the viscoelastic fluid temperature and reduce the temperature gradient at the border. Temperature distribution and the associated thermal layer are shown to have improved because of radiative and viscous dissipation characteristics. Radiation causes additional heat to be produced in liquid, raising the fluid's temperature. It was also found that higher velocities are noticed in viscoelastic fluid as compared with Newtonian fluid (i.e., when K = 0).

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Mixed convection flow of an electrically conducting viscoelastic fluid past a vertical nonlinearly stretching sheet

Jafar

Shafie

Ullah

et al. 2022

Sci Rep

Self Cite

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“…Recently, the effects of entropy generation on a moving viscoelastic nanofluid over a stretched surface [29] and the dissipation of viscoelastic fluid on non-linear surface [30] have been investigated. Other interesting results were made by Gholinia et al [31] and Ogunseye et al [32].…”

Section: Introductionmentioning

confidence: 99%

On MHD Flow of Non-newtonian Viscoelastic Fluid over a Stretched Magnetized Surface

Aloliga¹,

Seini²,

Musah³

2022

AJAM

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The purpose of this research is to investigate heat and mass transport in a magnetohydrodynamic (MHD) flow of a non-Newtonian viscoelastic fluid on a stretched magnetized surface. The investigations involve modelling the governing partial differential equations with respect to the Cartesian coordinate system. The models are then transformed into a set of coupled ordinary differential equations. Numerical and graphical solutions were obtained using similarity analysis. The effect of the magnetized sheet on the flow behavior; local skin friction, Nusselt, and Sherwood numbers, are presented in tables. It was observed that an enhanced thickening of the thermal boundary layer was due to the induced magnetization of the sheet. This leads to a significant decline in the heat transfer rate. Certain significant discoveries reported in this research discloses that the effect of viscous dissipation and the non-uniform heat transmission have momentous impact in controlling the rate of heat transfer in the boundary layer region. Again, from the outcome of the analysis it is seen that, the effect of appreciating the Soret number or lessening the Dufour number tends to decrease the velocity and temperature profiles while enhancing the concentration dissemination. Magnetizing the surface shows similar effects on the local skin friction, Nusselt number, and Sherwood number. It is concluded that magnetized surfaces significantly influence the rate of cooling and hence the quality of the penultimate product.

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“…They have considered the local nonsimilarity method and OHAM to solve the resulting equation. Jafar et al [14] studied the MHD boundary layer flow of a viscoelastic fluid past a nonlinearly stretching sheet in the presence of a viscous dissipation effect.…”

Section: Introductionmentioning

confidence: 99%

Analytic Treatment for Electrical MHD Non-Newtonian Fluid Flow over a Stretching Sheet through a Porous Medium

Adem

2020

Advances in Mathematical Physics

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In this study, an attempt has been made to investigate the mass and heat transfer effects in a BLF through a porous medium of an electrically conducting viscoelastic fluid subject to a transverse magnetic field in the existence of an external electric field, heat source/sink, and chemical reaction. It has been considered the effects of the electric field, viscous and Joule dissipations, radiation, and internal heat generation/absorption. Closed-form solutions for the boundary layer equations of viscoelastic, second-grade, and Walters’ B ′ fluid models are considered. The method of the solution includes similarity transformation. The converted equations of thermal and mass transport are calculated using the optimal homotopy asymptotic method (OHAM). The solutions of the temperature field for both prescribed surface temperature (PST) and prescribed surface heat flux (PHF) are found. It is vital to remark that the interaction of the magnetic field is found to be counterproductive in enhancing velocity and concentration distribution, whereas the presence of chemical reaction, as well as a porous matrix with moderate values of the magnetic parameter, reduces the temperature and concentration fields at all points of the flow domain.

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Magnetohydrodynamic Boundary Layer Flow of a Viscoelastic Fluid Past a Nonlinear Stretching Sheet in the Presence of Viscous Dissipation Effect

Cited by 16 publications

References 40 publications

Mixed convection flow of an electrically conducting viscoelastic fluid past a vertical nonlinearly stretching sheet

Mixed convection flow of an electrically conducting viscoelastic fluid past a vertical nonlinearly stretching sheet

On MHD Flow of Non-newtonian Viscoelastic Fluid over a Stretched Magnetized Surface

Analytic Treatment for Electrical MHD Non-Newtonian Fluid Flow over a Stretching Sheet through a Porous Medium

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