Asymptotic behaviour of a viscoplastic bingham fluid in porous media with periodic structure

Brillard, Alain

doi:10.5802/afst.668

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2022

2023

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Cited by 2 publications

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“…As far as the study of Bingham flow in domains depending on small geometrical parameters is concerned, we recall that the first results for the Bingham flow in periodic domains are obtained in [28]. The justification of the convergence for these results is due to [8,9]. In the recent paper [5], the authors present a model of Bingham flow in a thin periodic domain which contains an array of obstacles modelized as vertical cylinders.…”

Section: (): V-volmentioning

confidence: 99%

On the Bingham Flow in a Thin Y-Like Shaped Structure

Bunoiu

Gaudiello

2022

J. Math. Fluid Mech.

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We consider the steady Bingham flow in a two-dimensional thin Y-like shaped structure, with no-slip boundary conditions and under the action of given external forces. After passage to the limit with respect to a small parameter related to the thickness of the domain, we obtain three uncoupled problems. Each of these problems describes an anisotropic flow, corresponding to a lower-dimensional “Bingham-like” constitutive law. These results are in accordance with the engineering models.

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Section: (): V-volmentioning

confidence: 99%