Visco-elastic flow past circular cylinders mounted in a channel: experimental measurements of velocity and drag

Verhelst, J.; Nieuwstadt, F. T. M.

doi:10.1016/j.jnnfm.2003.08.006

Cited by 31 publications

(28 citation statements)

References 11 publications

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“…In addition, the 3D velocity profiles shown in Fig. 10 are very similar to velocity profiles measured by Verhelst and Nieuwstadt [33]. Although we cannot make a one-to-one comparison due to the different aspect ratio (W/H = 8), viscosity ratio (β = 0.73) and Deborah number (De = 1.42) used in their experiment, it is particularly remarkable that a local maximum in the u-velocity profile at the centre line (y = 0) is captured at W e = 1.2 as in Fig.…”

Section: Three Dimensional Numerical Resultssupporting

confidence: 84%

“…Although we cannot make a one-to-one comparison due to the different aspect ratio (W/H = 8), viscosity ratio (β = 0.73) and Deborah number (De = 1.42) used in their experiment, it is particularly remarkable that a local maximum in the u-velocity profile at the centre line (y = 0) is captured at W e = 1.2 as in Fig. 19 of [33] at x = 1.5R, just behind the cylinder. This is not seen in the two-dimensional numerical simulations of Oliveira and Miranda [21] with the FENE-CR model.…”

Section: Three Dimensional Numerical Resultsmentioning

confidence: 99%

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A semi-staggered dilation-free finite volume method for the numerical solution of viscoelastic fluid flows on all-hexahedral elements

Şahin

Wilson

2007

Journal of Non-Newtonian Fluid Mechanics

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The dilation-free semi-staggered finite volume method presented in Int. J. Numer. Meth. Fluids 49 (2005) 959-974 has been extended for the numerical solution of viscoelastic fluid flows on allquadrilateral(2D)/hexahedral(3D) meshes. The velocity components are defined at element node points, while the pressure term and the extra stress tensor are defined at element centroids. The continuity equation is satisfied exactly within each element. An upwind least square method is employed for the calculation of the extra stresses at control volume faces in order to maintain stability for hyperbolic constitutive equations. The time stepping algorithm used decouples the calculation of the extra stresses from the evaluation of the velocity and pressure fields by solving a generalised Stokes problem. The resulting linear systems are solved using the GMRES method provided by the PETSc library with an ILU(k) preconditioner obtained from the HYPRE library. We apply the method to both two and three dimensional flow of an Oldroyd-B fluid past a confined circular cylinder in a channel with blockage ratio 0.5.

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Section: Three Dimensional Numerical Resultssupporting

confidence: 84%

Section: Three Dimensional Numerical Resultsmentioning

confidence: 99%

A semi-staggered dilation-free finite volume method for the numerical solution of viscoelastic fluid flows on all-hexahedral elements

Şahin

Wilson

2007

Journal of Non-Newtonian Fluid Mechanics

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“…In a recent (2004) paper Verhelst and Nieuwstadt [29] provided local velocity data obtained with LDA for the flow of both Newtonian and viscoelastic fluids around a confined cylinder with a blockage ratio of 0.5. These data are very useful as they allow further validation of our numerical solutions, especially regarding the Newtonian flow case.…”

Section: Steady Flow-velocity Comparisons With Verhelst and Nieuwstadmentioning

confidence: 99%

“…Fig. 7 shows the comparison of the velocity profiles measured by Verhelst and Nieuwstadt [29] for the Newtonian glucose/water solution at x = −21, −3, −1.5 (upstream of the cylinder) and x = +1.5, +3, (downstream of the cylinder), with the numerical predictions for Re = 0. The fore-aft symmetry of creeping flow is well captured by both the experimental and numerical results (coincidence for x = ±3, ±1.5), and the detailed agreement between the two is good except for the profiles closest to the cylinder (x = ±1.5); the mi- Table 3 Drag coefficients on the various meshes with FENE-MCR for L 2 = 100 (β = 0.59; Re = 0) nor differences must be attributed to three-dimensional effects because the three-dimensional numerical predictions of Verhelst and Nieuwstadt follow the data closely.…”

Section: Steady Flow-velocity Comparisons With Verhelst and Nieuwstadmentioning

confidence: 99%

A numerical study of steady and unsteady viscoelastic flow past bounded cylinders

Oliveira

Miranda

2005

Journal of Non-Newtonian Fluid Mechanics

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We consider two-dimensional, inertia-free, flow of a constant-viscosity viscoelastic fluid obeying the FENE-CR equation past a cylinder placed symmetrically in a channel, with a blockage ratio of 0.5. Through numerical simulations we show that the flow becomes unsteady when the Deborah number (using the usual definition) is greater than De ≈ 1.3, for an extensibility parameter of the model of L 2 = 144. The transition from steady to unsteady flow is characterised by a small pulsating recirculation zone of size approximately equal to 0.15 cylinder radius attached to the downstream face of the cylinder. There is also a rise in drag coefficient, which shows a sinusoidal variation with time. The results suggest a possible triggering mechanism leading to the steady three-dimensional Gortler-type vortical structures, which have been observed in experiments of the flow of a viscoelastic fluid around cylinders. The results reveal that the reason for failure of the search for steady numerical solutions at relatively high Deborah numbers is that the two-dimensional flow separates and eventually becomes unsteady. For a lower extensibility parameter, L 2 = 100, a similar recirculation is formed given rise to a small standing eddy behind the cylinder which becomes unsteady and pulsates in time for Deborah numbers larger than De ≈ 4.0-4.5.

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“…He also supervised the Ph.D. work of Rob Uittenbogaard and Jan Verhelst [21]. Rob Uittenbogaard, an employee of WL-Delft Hydraulics wrote a Ph.D. thesis about his work on internal waves in stratified estuarine tidal flows [33].…”

Section: Other Topicsmentioning

confidence: 99%

Turbulence Plus

Westerweel

Boersma

2007

Flow Turbulence Combust

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This paper attempts to give a concise overview of the turbulence research performed at the Laboratory for Aero and Hydrodynamics of the Delft University of Technology under the guidance of Frans Nieuwstadt. Frans Nieuwstadt was appointed in 1986 as director of the laboratory, and he held this position until his sudden death in 2005. Frans' principal interest was to investigate turbulence at a fundamental level, but also to consider turbulence and its role in other processes. He coined a name for this research: turbulence plus.

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Visco-elastic flow past circular cylinders mounted in a channel: experimental measurements of velocity and drag

Cited by 31 publications

References 11 publications

A semi-staggered dilation-free finite volume method for the numerical solution of viscoelastic fluid flows on all-hexahedral elements

A semi-staggered dilation-free finite volume method for the numerical solution of viscoelastic fluid flows on all-hexahedral elements

A numerical study of steady and unsteady viscoelastic flow past bounded cylinders

Turbulence Plus

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