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Article Dans Une Revue Journal of Mathematical Fluid Mechanics Année : 2022

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

Résumé

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.

Dates et versions

hal-03548941 , version 1 (31-01-2022)

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Citer

Renata Bunoiu, Antonio Gaudiello. On the Bingham Flow in a Thin Y-Like Shaped Structure. Journal of Mathematical Fluid Mechanics, 2022, 24 (1), pp.20. ⟨10.1007/s00021-021-00657-0⟩. ⟨hal-03548941⟩
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