Unsteady MHD Thin Film Flow of an Oldroyd-B Fluid over an Oscillating Inclined Belt

Gul, Taza; Islam, Saeed; Shah, Rehan Ali; Khalid, Asma; Khan, İlyas; Shafie, Sharidan

doi:10.1371/journal.pone.0126698

Cited by 25 publications

(14 citation statements)

References 28 publications

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“…Increasing the Williamson number during temperature distribution results in the motion of the fluid increasing as well, as shown in Figure 11. It is noted that the increase is small near the plate and rises more rapidly towards the free surface, in agreeance with [26,27]. The comparison of the present work and published work [22] has been shown in Figures 12 and 13, where the common parameters have been counted and dissimilar parameters have been ignored.…”

Section: Discussionsupporting

confidence: 84%

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Heat Transfer Investigation of the Unsteady Thin Film Flow of Williamson Fluid Past an Inclined and Oscillating Moving Plate

et al. 2017

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Abstract:This investigation aims at analyzing the thin film flow passed over an inclined moving plate. The differential type non-Newtonian fluid of Williamson has been used as a base fluid in its unsteady state. The physical configuration of the oscillatory flow pattern has been demonstrated and especial attention has been paid to the oscillatory phenomena. The shear stresses have been combined with the energy equation. The uniform magnetic field has been applied perpendicularly to the flow field. The principal equations for fluid motion and temperature profiles have been modeled and simplified in the form of non-linear partial differential equations. The non-linear differential equations have been solved with the help of a powerful analytical technique known as Optimal Homotopy Asymptotic Method (OHAM). This method contains unknown convergence controlling parameters C 1 , C 2 , C 3 , ... which results in more efficient and fast convergence as compared to other analytical techniques. The OHAM results have been verified by using a second method known as Adomian Decomposition Method (ADM). The closed agreement of these two methods and the fast convergence of OHAM has been shown graphically and numerically. The comparison of the present work and published work has also been equated graphically and tabulated with absolute error. Moreover, the effect of important physical parameters like magnetic parameter M, gravitational parameter m, Oscillating parameter ω, Eckert number Ec and Williamson number We have also been derived and discussed in this article.

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Section: Discussionsupporting

confidence: 84%

“…The effect of the oscillating parameter ω has been revealed in Figure 7. The rising values of the oscillating parameter increase the fluid flow and the effect is similar as in [26,27]. The effect of Williamson number has been shown in Figure 8.…”

Section: Discussionsupporting

confidence: 53%

Heat Transfer Investigation of the Unsteady Thin Film Flow of Williamson Fluid Past an Inclined and Oscillating Moving Plate

et al. 2017

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“…Ahmed and Dutta [18] have studied the effects of radiative thermal diffusion in a time dependent MHD flow through an infinite annulus. Time dependent thin film flow of Oldroyd-B fluid above an oscillating inclined belt under the influence of magnetic field have been analyzed by Gul et al [19].…”

Section: Introductionmentioning

confidence: 99%

Free Convective Oldroyd Fluid Flow through an Annulus under Transverse Magnetic Field Using Modified Bessel Functions

Dey¹,

Khound²

2019

IJHT

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An unsteady visco-elastic fluid flow through an annulus with heat and mass transfer has been studied. The visco-elastic fluid is characterized by Oldroyd fluid constitutive model consisting of rheological parameters namely relaxation time (λ1) and retardation time (λ2). The annulus is bounded by two infinite co-axial circular cylinders of radius c and d respectively. Fluid flow in the annular region is governed by periodic pressure gradient. A magnetic field of uniform strength B0 has been applied perpendicular to the axis of annulus. The governing partial differential equations from conservation laws of momentum, energy and concentration principles are converted into the ordinary differential equations and these equations are solved analytically using modified Bessel functions of first kind Iυ(z) and second kind Kυ(z).

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“…Khan et al reported the influences of MHD thin nanoliquid film sprayed on a stretching cylinder with heat transfer. Gul et al studied the unsteady MHD thin‐film flow of an Oldroyd‐B fluid over an oscillating inclined belt. Gohar et al have investigated MWCNTs/SWCNTs nanofluid thin‐film flow over a nonlinear extending disc: OHAM solution.…”

Section: Introductionmentioning

confidence: 99%

Studying the effect of radiation on thin‐film sprayed nanofluid flow with heat transfer

Rashed

El-Fayez

2019

Heat Trans. Asian Res.

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In this paper, we discuss thin-film nanofluid sprayed in non-Darcian, magnetohydrodynamic, embedding in a porous medium flow and thermal radiation with heat transfer generation on a stretching cylinder. The spray rate is a function of film size. A comparative study is made for the nanoparticles, namely, copper oxide (CuO), alumina oxide (Al O 2 3 ), and iron oxide (Fe O ) 3 4 . The governing continuity, momentum, and energy equations of the nanofluid are reduced using similarity transformation and converted into a system of nonlinear ordinary differential equations, which are solved numerically. Numerical solutions are obtained for the velocity and temperature fields as well as for the skin-friction coefficient and Nusselt number. The pressure distribution and spray rate are also calculated. The results are presented in graphical forms to study the effects of various parameters. K E Y W O R D Snanofluid, porous medium, spray, stretching cylinder, temperature buoyancy, thermal radiation, thin film

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Unsteady MHD Thin Film Flow of an Oldroyd-B Fluid over an Oscillating Inclined Belt

Cited by 25 publications

References 28 publications

Heat Transfer Investigation of the Unsteady Thin Film Flow of Williamson Fluid Past an Inclined and Oscillating Moving Plate

Heat Transfer Investigation of the Unsteady Thin Film Flow of Williamson Fluid Past an Inclined and Oscillating Moving Plate

Free Convective Oldroyd Fluid Flow through an Annulus under Transverse Magnetic Field Using Modified Bessel Functions

Studying the effect of radiation on thin‐film sprayed nanofluid flow with heat transfer

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