Plane sudden expansion flows of viscoelastic liquids

Poole, Robert J.; Alves, M.A.; Oliveira, Paulo J.; Pinho, F.T.

doi:10.1016/j.jnnfm.2006.11.001

Cited by 44 publications

(58 citation statements)

References 24 publications

(30 reference statements)

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“…This has obviously motivated the corresponding research with non-Newtonian fluids [11][12][13][14], but there are also works aimed at simply determining pressure-loss coefficients for engineering purposes [15]. However, these non-Newtonian investigations, as well as others reviewed by Poole et al [16], are under conditions of non-negligible inertia.…”

Section: Introductionmentioning

confidence: 99%

“…In their two-dimensional numerical investigation on creeping flows in a 1:3 plane sudden expansion (expansion ratio, ER = D/d = 3, where D and d are the large and small half-channel widths) for upper-convected Maxwell (UCM) and Oldroyd-B (Old-B) fluids, using refined meshes and higher-order discretization schemes, Poole et al [16] found that fluid elasticity reduced the length of the recirculation (X R ) by less than 20% relative to the corresponding Newtonian flow. Simultaneously, the strength of these recirculations as measured by the recirculating flow rate was reduced by 60%.…”

Section: Introductionmentioning

confidence: 99%

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The effect of expansion ratio for creeping expansion flows of UCM fluids

Poole

Pinho

Alves

et al. 2009

Journal of Non-Newtonian Fluid Mechanics

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a b s t r a c tA systematic numerical investigation on creeping flows in planar sudden expansions of viscoelastic fluids obeying the upper-convected Maxwell model is carried out to assess the combined effects of viscoelasticity, through the Deborah number, and expansion ratio (ER), which was varied between 1.25 and 32. At large expansion ratios (ER ≥ 4) the flow becomes dominated by the downstream duct size and appropriately normalized quantities tend to be independent of ER. The recirculation size and strength become decreasing functions of De, whereas the Couette correction (the normalized entry pressure drop due to the presence of the expansion) increases. At small ER (ER ≤ 3), however, no simple scaling laws are found and there is a complex interaction between De and ER leading to non-monotonic variations, with an initial decrease in the recirculation length at low Deborah numbers, followed by an enhancement as De increases.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

The effect of expansion ratio for creeping expansion flows of UCM fluids

Poole

Pinho

Alves

et al. 2009

Journal of Non-Newtonian Fluid Mechanics

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“…Darwish et al [13] and Missirlis et al [14] applied upper-convected Maxwell (UCM) model and developed finite volume method to simulate the creeping flows of viscoelastic fluid in a 1 : 4 sudden expansion at Re = 0.1. Poole et al [15,16] numerically investigated the creeping flow of viscoelastic fluid with three different models (UCM, Oldroyd-B, and the linear form of PTT model) through a 1 : 3 planar sudden expansion and studied the effect of expansion ratio on the creeping flow of viscoelastic fluid obeying UCM model. The results of numerical simulations with different constitutive models showed that the reduction of both the length and intensity of the vortex, which was caused by the effect of elasticity, is much lower than that reported in previous studies, and a significant region of recirculation still exists for all the models at high Deborah number [15].…”

Section: Introductionmentioning

confidence: 99%

“…Poole et al [15,16] numerically investigated the creeping flow of viscoelastic fluid with three different models (UCM, Oldroyd-B, and the linear form of PTT model) through a 1 : 3 planar sudden expansion and studied the effect of expansion ratio on the creeping flow of viscoelastic fluid obeying UCM model. The results of numerical simulations with different constitutive models showed that the reduction of both the length and intensity of the vortex, which was caused by the effect of elasticity, is much lower than that reported in previous studies, and a significant region of recirculation still exists for all the models at high Deborah number [15]. The study of expansion ratio effect on the flow characteristics showed that both the length and intensity of the recirculation zone are increased with increasing expansion ratio at the same Deborah number, and for large expansion ratios the recirculation size and strength are decreased with increase of Deborah number, while for small expansion ratios the recirculation length is initially decreased at low Deborah numbers, followed by an increase as Deborah number increases [16].…”

Section: Introductionmentioning

confidence: 99%

Modeling Asymmetric Flow of Viscoelastic Fluid in Symmetric Planar Sudden Expansion Geometry Based on User-Defined Function in FLUENT CFD Package

Zheng

Yang

2013

Advances in Mechanical Engineering

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Through embedding an in-house subroutine into FLUENT code by utilizing the functionalization of user-defined function provided by the software, a new numerical simulation methodology on viscoelastic fluid flows has been established. In order to benchmark this methodology, numerical simulations under different viscoelastic fluid solution concentrations (with solvent viscosity ratio varied from 0.2 to 0.9), extensibility parameters (100 ≤ 2 ≤ 500), Reynolds numbers (0.1 ≤ Re ≤ 100), and Weissenberg numbers (0 ≤ Wi ≤ 20) are conducted on unsteady laminar flows through a symmetric planar sudden expansion with expansion ratio of 1 : 3 for viscoelastic fluid flows. The constitutive model used to describe the viscoelastic effect of viscoelastic fluid flow is FENE-P (finitely extensive nonlinear elastic-Peterlin) model. The numerical simulation results show that the influences of elasticity, inertia, and concentration on the flow bifurcation characteristics are more significant than those of extensibility. The present simulation results including the critical Reynolds number for which the flow becomes asymmetric, vortex size, bifurcation diagram, velocity distribution, streamline, and pressure loss show good agreements with some published results. That means the newly established method based on FLUENT software platform for simulating peculiar flow behaviors of viscoelastic fluid is credible and suitable for the study of viscoelastic fluid flows.

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“…Computational methods used in viscoelastic flows remain an active area of research [3]. Several methods can be used to solve viscoelastic macroscopic constitutive equations in complex flows [4][5][6] and three-dimensional applications can be found in [7,8], but they did not take free surfaces into account. Two dimensional steady-state or transient viscoelastic flows with free surfaces have been studied for about 30 years, mainly applied to the die swell or filament stretching problems [9][10][11][12][13][14][15] and recently to extrudate swell or jet flow [16,17].…”

Section: Introductionmentioning

confidence: 99%

A new three-dimensional mixed finite element for direct numerical simulation of compressible viscoelastic flows with moving free surfaces

et al. 2011

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The original publication is available at http://www.springer.comInternational audienceTA Mixed Finite Element (MFE) method for 3D non-steady flow of a viscoelastic compressible fluid is presented. It was used to compute polymer injection flows in a complex mold cavity, which involves moving free surfaces. The flow equations were derived from the Navier-Stokes incompressible equations, and we extended a mixed finite element method for incompressible viscous flow to account for compressibility (using the Tait model) and viscoelasticity (using a Pom-Pom like model). The flow solver uses tetrahedral elements and a mixed velocity/pressure/extra-stress/density formulation, where elastic terms are solved by decoupling our system and density variation is implicitly considered. A new DEVSS-like method is also introduced naturally from the MINI-element formulation. This method has the great advantage of a low memory requirement. At each time slab, once the velocity has been calculated, all evolution equations (free surface and material evolution) are solved by a space-time finite element method. This method is a generalization of the discontinuous Galerkin method, that shows a strong robustness with respect to both re-entrant corners and flow front singularities. Validation tests of the viscoelastic and free surface models implementation are shown, using literature benchmark examples. Results obtained in industrial 3D geometries underline the robustness and the efficiency of the proposed method

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Plane sudden expansion flows of viscoelastic liquids

Cited by 44 publications

References 24 publications

The effect of expansion ratio for creeping expansion flows of UCM fluids

The effect of expansion ratio for creeping expansion flows of UCM fluids

Modeling Asymmetric Flow of Viscoelastic Fluid in Symmetric Planar Sudden Expansion Geometry Based on User-Defined Function in FLUENT CFD Package

A new three-dimensional mixed finite element for direct numerical simulation of compressible viscoelastic flows with moving free surfaces

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