Viscoelastic flow of dilute polymer solutions in regularly packed beds

Haas, R.; Durst, F.

doi:10.1007/bf01534349

Cited by 72 publications

(27 citation statements)

References 5 publications

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“…(1)] by an effective viscosity μ eff , which contains the contributions of both the solvent and the polymers:…”

Section: Polymer Viscositymentioning

confidence: 99%

“…For these liquids pressure versus flow rate experiments have been conducted, not only in porous media and packed beds, but also in artificially made geometries that mimic the conditions in a porous medium [1][2][3][4]. From these studies, the following picture has emerged.…”

Section: Introductionmentioning

confidence: 99%

“…Below a critical flow speed Darcy's law [Eq. (1)] holds, with μ replaced by an effective viscosity μ eff , which corresponds to the shear rate-dependent viscosity of the polymer solution, as can be measured using a shear rheometer. Above the critical flow speed, the pressure rises above the effective Darcy pressure.…”

Section: Introductionmentioning

confidence: 99%

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Viscoelastic flow simulations through an array of cylinders

Gillissen

2013

Phys. Rev. E

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Polymer solution flow is studied numerically in a periodic, hexagonal array of cylinders as a model for a porous medium. We use a lattice Boltzmann method supplemented by a polymer stress, where the polymers are modeled as finitely extensible, nonlinear, elastic dumbbells. The simulated, nonmonotonic behavior of the effective viscosity μ eff as a function of the Weissenberg number We is in qualitative agreement with experiments in the literature. An analytical model, which replaces the flexible polymers by rods and that replaces the flow field in the porous medium by a superposition of shear and elongation, correctly reproduces the simulated μ eff as a function of the polymer extensibility parameter b in the limit of large We.

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“…(1)] by an effective viscosity μ eff , which contains the contributions of both the solvent and the polymers:…”

Section: Polymer Viscositymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Viscoelastic flow simulations through an array of cylinders

Gillissen

2013

Phys. Rev. E

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“…A more detailed discussion of the experimental set-up is outside the scope of this paper. We use a characteristic estimate of the extension rate˙ in porous media due to Haas and Durst [10]:…”

Section: Experimental Estimation Of Extension Rate Range In Porous Mementioning

confidence: 99%

Constitutive equations for extensional flow of wormlike micelles: stability analysis of the Bautista–Manero model

Boek

Padding

Anderson

et al. 2005

Journal of Non-Newtonian Fluid Mechanics

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“…Polymer deformation in porous media flows, for example, has been studied by measurements of the pressure drop/flow rate relationship for apparently dilute solutions. The resulting data have been interpreted by hypothesizing that a simple model flow is operative at the microscale [1,2]. Often the time variation in the flow environment experienced by polymer chains is ignored, and the flow field assumed for the modelling analysis is steady.…”

Section: Introductionmentioning

confidence: 99%

A solution birefringence study of polymer elongation in spatially periodic stretching flows

et al. 1989

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Abstract." The flow birefringence of dilute polymer solutions in periodically converging/diverging channels has been employed to study the dynamics of flexible chain molecules under transient stretching stresses. The onset of periodic birefringence for chains of high molecular weight is only observed after the chains have experienced several cycles of stress, at a point deep into the channel. This slow onset indicates that the solutions possess a memory on time scales much greater than that normally associated with a relaxed flexible coil. This behavior is recorded for both aqueous and nonaqueous solutions, at concentrations both above and below the entanglement concentration. Centerline birefringence, however, which is associated with purely elongational flow, is only observed for aqueous polymer solutions. An explanation for these birefringence results is suggested, based on a configuration-dependent dumbbell model for polymer chains in dilute solution.

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Viscoelastic flow of dilute polymer solutions in regularly packed beds

Cited by 72 publications

References 5 publications

Viscoelastic flow simulations through an array of cylinders

Viscoelastic flow simulations through an array of cylinders

Constitutive equations for extensional flow of wormlike micelles: stability analysis of the Bautista–Manero model

A solution birefringence study of polymer elongation in spatially periodic stretching flows

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