Slip flows of Newtonian and viscoelastic fluids in a 4:1 contraction

Ferrás, Luís Jorge Lima; Afonso, A.M.; Alves, M.A.; Nóbrega, J. M.; Carneiro, O. S.; Pinho, F.T.

doi:10.1016/j.jnnfm.2014.09.007

Cited by 16 publications

(11 citation statements)

References 36 publications

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“…Therefore, we can conclude that increase of the flow rate enhances the vortex length, which is the same as that given by Kim et al [22]. The vortex length increases with the increase of We, which is consistent with the results given by Ferrás et al's numerical simulation [24] and Lee and Ahn's experiment [25] for viscoelastic fluids in a 4:1 contraction. Actually the fact that the vortex length is larger for larger We is related to the larger extensional viscosity that increases the fluid flow resistance, and consequently, a larger portion of fluid recirculates, creating larger vortices.…”

Section: Effect Of Reynolds Number and Weissenberg Number On The Vortsupporting

confidence: 92%

Vortex behavior of particle suspension flow in a wedge for the second-order fluid

Wang

Lin

Zhang

2018

J Braz. Soc. Mech. Sci. Eng.

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Effect of Weissenberg number, Reynolds number, Stokes number and wedge angle on the vortex behavior of particle suspension flow is investigated numerically in a wedge for the second-order viscoelastic fluid. The results show that there exist symmetrical vortices near the walls close to apex for different wedge angles, and the vortex length is inversely proportional to the wedge angle. Increase of the Reynolds number not only increases the vortex length but also their dependence on the Weissenberg number. The vortex length increases with the increase of Weissenberg number and finally reaches an asymptotic value. The vortex gradually developed as the Stokes number is decreased, and the vortex length has a maximum for the single phase flow. The presence of particles will suppress the development of vortex, and the suppression degree is directly proportional to the Stokes number. The Reynolds number has a larger impact on the vortex length than the wedge angle in the parameter region studied here. Keywords Two-phase flow Á Second-order viscoelastic fluid Á Particles Á Wedge flow Á Vortex behavior Á Numerical simulation

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Section: Effect Of Reynolds Number and Weissenberg Number On The Vortsupporting

confidence: 92%

Vortex behavior of particle suspension flow in a wedge for the second-order fluid

Wang

Lin

Zhang

2018

J Braz. Soc. Mech. Sci. Eng.

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“…Many works have adopted this model and showed that the size of the vortex increases with the ratio of the extensional to shear stresses [13,14,15]. Ferrás et al [16] used the PTT model along with slip boundary conditions. Increasing the slip enlarges the lip vortex until it absorbs the salient vortex.…”

Section: Introductionmentioning

confidence: 99%

Shear Banding in 4:1 Planar Contraction

Hooshyar

Germann

2019

Polymers

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We study shear banding in a planar 4:1 contraction flow using our recently developed two-fluid model for semidilute entangled polymer solutions derived from the generalized bracket approach of nonequilibrium thermodynamics. In our model, the differential velocity between the constituents of the solution allows for coupling between the viscoelastic stress and the polymer concentration. Stress-induced migration is assumed to be the triggering mechanism of shear banding. To solve the benchmark problem, we used the OpenFOAM software package with the viscoelastic solver RheoTool v.2.0. The convection terms are discretized using the high-resolution scheme CUBISTA, and the governing equations are solved using the SIMPLEC algorithm. To enter into the shear banding regime, the uniform velocity at the inlet was gradually increased. The velocity increases after the contraction due to the mass conservation; therefore, shear banding is first observed at the downstream. While the velocity profile in the upstream channel is still parabolic, the corresponding profile changes to plug-like after the contraction. In agreement with experimental data, we found that shear banding competes with flow recirculation. Finally, the profile of the polymer concentration shows a peak in the shear banding regime, which is closer to the center of the channel for larger inlet velocities. Nevertheless, the increase in the polymer concentration in the region of flow recirculation was significantly larger for the inlet velocities studied in this work. With our two-fluid finite-volume solver, localized shear bands in industrial applications can be simulated.

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“…MHD slip flow of viscoelastic fluid over the stretching surface has been investigated by Turkyilmazoglu [14]. Ferrás et al [15] analyzed the slip flow of Newtonian and viscoelastic fluids. e effect of slip and MHD on viscoelastic convection flow in a vertical channel has been discussed by Singh [16].…”

Section: Introductionmentioning

confidence: 99%

Investigation of Two‐Dimensional Viscoelastic Fluid with Nonuniform Heat Generation over Permeable Stretching Sheet with Slip Condition

et al. 2019

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Here, in this research article, we have investigated an incompressible viscoelastic fluid flow over a uniform stretching surface sheet along with slip boundary conditions in the presence of porous media. The partial differential equations which govern the fluid flow are changed into ordinary differential equations through suitable similarity transformation variables. Finally, the transformed ordinary differential equations are solved with the help of a seminumerical technique known as the homotopy analysis method (HAM). The uniqueness of our study is not only to analyze and carry out the effect of the elastic parameter but also to account for viscous dissipation which is important in the case of optically transparent flow. The novel effects for the parameters which affect the flow and heat transfer, such as the Eckert number, porous medium parameter, and the velocity slip parameter, are studied through graphs. Also, the convergence analysis for the proposed method is addressed. Additionally, for the sake of validation, the present work is also compared with the already published work and an outstanding agreement is found.

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Slip flows of Newtonian and viscoelastic fluids in a 4:1 contraction

Cited by 16 publications

References 36 publications

Vortex behavior of particle suspension flow in a wedge for the second-order fluid

Vortex behavior of particle suspension flow in a wedge for the second-order fluid

Shear Banding in 4:1 Planar Contraction

Investigation of Two‐Dimensional Viscoelastic Fluid with Nonuniform Heat Generation over Permeable Stretching Sheet with Slip Condition

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