Flow of a Maxwell Fluid between Two Porous Disks Rotating about Noncoincident Axes

Ersoy, H. Volkan

doi:10.1155/2014/347196

Cited by 8 publications

(10 citation statements)

References 24 publications

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“…Besides the above authors, Ersoy has reported excellent results for different fluid flows induced by eccentric-concentric rotation of a disk and the fluid at infinity for both Newtonian (Ersoy 2003) and non-Newtonian fluids, e.g. second-grade fluid and Maxwell fluid (Ersoy 2010, 2014). Similar to the previous authors, Ersoy (2003, 2010, 2014) have also investigated these problems using the Laplace transform technique.…”

Section: Introductionmentioning

confidence: 96%

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Exact solutions for unsteady free convection flow over an oscillating plate due to non-coaxial rotation

et al. 2016

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BackgroundNon-coaxial rotation has wide applications in engineering devices, e.g. in food processing such as mixer machines and stirrers with a two-axis kneader, in cooling turbine blades, jet engines, pumps and vacuum cleaners, in designing thermal syphon tubes, and in geophysical flows. Therefore, this study aims to investigate unsteady free convection flow of viscous fluid due to non-coaxial rotation and fluid at infinity over an oscillating vertical plate with constant wall temperature.MethodsThe governing equations are modelled by a sudden coincidence of the axes of a disk and the fluid at infinity rotating with uniform angular velocity, together with initial and boundary conditions. Some suitable non-dimensional variables are introduced. The Laplace transform method is used to obtain the exact solutions of the corresponding non-dimensional momentum and energy equations with conditions. Solutions of the velocity for cosine and sine oscillations as well as for temperature fields are obtained and displayed graphically for different values of time (t ), the Grashof number (Gr), the Prandtl number (), and the phase angle (). Skin friction and the Nusselt number are also evaluated.ResultsThe exact solutions are obtained and in limiting cases, the present solutions are found to be identical to the published results. Further, the obtained exact solutions also validated by comparing with results obtained by using Gaver–Stehfest algorithm.ConclusionThe interested physical property such as velocity, temperature, skin friction and Nusselt number are affected by the embedded parameters time (t), the Grashof number (Gr), the Prandtl number (), and the phase angle ().

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Section: Introductionmentioning

confidence: 96%

“…second-grade fluid and Maxwell fluid (Ersoy 2010, 2014). Similar to the previous authors, Ersoy (2003, 2010, 2014) have also investigated these problems using the Laplace transform technique.…”

Section: Introductionmentioning

confidence: 99%

Exact solutions for unsteady free convection flow over an oscillating plate due to non-coaxial rotation

et al. 2016

View full text Add to dashboard Cite

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“…The appropriate boundary conditions for the velocity field are We shall suppose that the extra stress tensor S depends only on z (see [25]). Using Eqs.…”

Section: Basic Equations and Solutionmentioning

confidence: 99%

“…The aim of this paper is to extend the study considered in [25] to the magnetohydrodynamic flow. The results obtained for the velocity field are presented graphically in terms of the Deborah number, the suction/injection velocity parameter, the Reynolds number, and the Hartmann number.…”

Section: Introductionmentioning

confidence: 99%

Flow of a Maxwell Fluid in a Porous Orthogonal Rheometer under the Effect of a Magnetic Field

Ersoy

2015

AJME

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The steady flow of a Maxwell fluid in a porous orthogonal rheometer with the application of a magnetic field is studied. It is shown that there exists an exact solution for the problem. The effects of the parameters controlling the flow are analyzed by plotting graphs. It is observed that the effects of the Deborah number, the suction/injection velocity parameter, and the Reynolds number in the absence of a magnetic field are similar to those in the presence of a magnetic field. It is displayed that the Hartmann number that is based on the applied magnetic field reveals the tendency to slow down the flow.

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“…Since no single model can describe all the complex properties of non-Newtonian fluids, a variety of models are presented in the literature for investigating various properties and behaviors of non-Newtonian fluids. [1][2][3][4][5][6][7] Among them, viscoelastic Oldroyd-B fluid models, which can foresee stress relaxation, have obtained much consideration. Many researchers are paying attention toward this model as it best describes the fluid with viscoelastic properties.…”

Section: Introductionmentioning

confidence: 99%

Some exact solutions for the rotational flow of Oldroyd-B fluid between two circular cylinders

Ullah

Khan

Bajwa

et al. 2017

Advances in Mechanical Engineering

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In this article, an effort has been made to compute and inspect the rotational flow of Oldroyd-B fluid between two co-axial circular cylinders. As novelty, the rotation of both cylinders produces motion of the fluid. The velocity field and tangential stress corresponding to the motion of an Oldroyd-B fluid with fractional derivatives have been obtained using Laplace and Hankel integral transforms. The velocity profiles of the respective model are graphically presented and deliberated for the pertinent parameters. Corresponding solutions are also obtained for ordinary Oldroyd-B fluid, ordinary and fractional Maxwell fluids, ordinary and fractional second-grade fluids, and Newtonian fluid as limiting cases of our general solutions.

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Flow of a Maxwell Fluid between Two Porous Disks Rotating about Noncoincident Axes

Cited by 8 publications

References 24 publications

Exact solutions for unsteady free convection flow over an oscillating plate due to non-coaxial rotation

Exact solutions for unsteady free convection flow over an oscillating plate due to non-coaxial rotation

Flow of a Maxwell Fluid in a Porous Orthogonal Rheometer under the Effect of a Magnetic Field

Some exact solutions for the rotational flow of Oldroyd-B fluid between two circular cylinders

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