Analysis of thin film flow over a vertical oscillating belt with a second grade fluid

Gul, Taza; Islam, Saeed; Shah, Rehan Ali; Khan, İlyas; Shafie, Sharidan; Khan, Muhammad Altaf

doi:10.1016/j.jestch.2014.11.003

Cited by 9 publications

(8 citation statements)

References 17 publications

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“…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. In the published work the plate moves vertically while in the present work the plate moves at an incline, with the same physical conditions.…”

Section: Discussionsupporting

confidence: 80%

“…It is clear from Figure 14 that the OHAM and ADM agree with each other initially, and the fast convergence of OHAM solution is clear at the boundary. Similarly, in Figure 15, the boundary conditions are more clearly satisfied by OHAM as compared to ADM. Tables 1 and 2 show the numerical comparison of the present work with published work [22]. The absolute error is larger for higher values of the second grade parameter α and Williamson number We, as shown in Table 1, but this error reduces for small values of these parameters.…”

Section: Discussionmentioning

confidence: 54%

“…in Figure 15, the boundary conditions are more clearly satisfied by OHAM as compared to ADM. Tables 1 and 2 show the numerical comparison of the present work with published work [22] …”

Section: Discussionmentioning

confidence: 96%

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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: 80%

Section: Discussionmentioning

confidence: 54%

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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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“…They emphasized on the salient features of thermal relaxation time that revealed that temperature distribution enhanced via larger variable thermal conductivity parameter. Gul et al (2015) obtained analytical solutions of second grade fluid over a vertical oscillating belt by invoking Adomian decomposition method (ADM). They emphasized thin film flow of second grade fluid for the comparative analysis of absolute error between Adomian decomposition method (ADM) and Optimal asymptotic method (OHAM).…”

Section: Introductionmentioning

confidence: 99%

Application of modern approach of Caputo-Fabrizio fractional derivative to MHD second grade fluid through oscillating porous plate with heat and mass transfer

Mugheri¹,

Abro²,

Solangi³

2018

Int. j. adv. appl. sci.

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In this research paper, we analyze the flow characteristics of magnetohydrodynamic second grade fluid with heat and mass transfer embedded in porous medium. The modeling of partial differential equations governs the flow have been established with modern approach of Caputo-Fabrizio fractional operator (). The partial differential equations of noninteger order derivatives have been solved by invoking Laplace and Fourier sine transforms. The new analytic solutions for temperature, concentration and velocity are investigated and expressed in terms of simple elementary functions. The corresponding general solutions have been particularized with and without magnetic field and porous medium for the classical Newtonian and second grade fluids as the limiting cases of our general results. The effects of the embedded physical and geometric parameters have been depicted through graphs for velocity, temperature and concentration respectively. The graphical results show several physical discrepancies and analogies on the fluid flow. Finally, our results suggest that increasing the Grashof number, heat transfer due to convection facilitates the flow velocity profile and an opposite trend is observed in thermal Grashof number as well.

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“…In another study, Gul et al . [ 26 ] performed an analysis to study the unsteady thin film flow of a second grade fluid over a vertical oscillating belt.…”

Section: Introductionmentioning

confidence: 99%

Study of Nonlinear MHD Tribological Squeeze Film at Generalized Magnetic Reynolds Numbers Using DTM

et al. 2015

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In the current article, a combination of the differential transform method (DTM) and Padé approximation method are implemented to solve a system of nonlinear differential equations modelling the flow of a Newtonian magnetic lubricant squeeze film with magnetic induction effects incorporated. Solutions for the transformed radial and tangential momentum as well as solutions for the radial and tangential induced magnetic field conservation equations are determined. The DTM-Padé combined method is observed to demonstrate excellent convergence, stability and versatility in simulating the magnetic squeeze film problem. The effects of involved parameters, i.e. squeeze Reynolds number (N 1), dimensionless axial magnetic force strength parameter (N 2), dimensionless tangential magnetic force strength parameter (N 3), and magnetic Reynolds number (Re m) are illustrated graphically and discussed in detail. Applications of the study include automotive magneto-rheological shock absorbers, novel aircraft landing gear systems and biological prosthetics.

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Analysis of thin film flow over a vertical oscillating belt with a second grade fluid

Cited by 9 publications

References 17 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

Application of modern approach of Caputo-Fabrizio fractional derivative to MHD second grade fluid through oscillating porous plate with heat and mass transfer

Study of Nonlinear MHD Tribological Squeeze Film at Generalized Magnetic Reynolds Numbers Using DTM

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