Elongational effects in the flow of viscoelastic fluid through a wavy channel

Koshiba, Takashi; Môri, N.; Sugiyama, Shiro; Nakamura, Kiyoji

doi:10.1007/s003970050188

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2013

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“…Simulations as such have previously been performed in undulated channels [5,6] and in repeat units of arrays of cylinders [7,8]. These previous simulations have been limited, however, to modest values of the Weissenberg number We 5.…”

Section: Introductionmentioning

confidence: 99%

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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Section: Introductionmentioning

confidence: 99%

Viscoelastic flow simulations through an array of cylinders

Gillissen

2013

Phys. Rev. E

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Elongational effects in the flow of viscoelastic fluid through a wavy channel

Cited by 1 publication

References 17 publications

Viscoelastic flow simulations through an array of cylinders

Viscoelastic flow simulations through an array of cylinders

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