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Pré-Publication, Document De Travail Année : 2007

An adaptive finite element method for viscoplastic flows in a pipe with stick-slip at the wall

Résumé

This paper is the third of a collection of three papers devoted to the numerical resolution of non-linear yield stress phenomena by using a new mixed anisotropic auto-adaptive finite element method. The first paper (Saramito \& Roquet, 2001) revisited the classical fully developed Poiseuille flow of a Bingham yield stress fluid in a straight pipe with general (non-circular) cross-section. The computation showed the efficiency of the method that was able to compute accurately the yield surfaces that separates the shear region from the central plug and the dead zones. The second paper (Roquet \& Saramito, 2004) considered the less classical problem of a Newtonian fluid with slip yield boundary condition at the wall. The present paper present a combination of the two previous non-linear yield stress phenomena: the Poiseuille flow of a Bingham fluid with slip yield boundary condition at the wall. Despite its practical interest, for instance for pipeline flows of yield stress fluids such as concrete and cements, this problem was not yet addressed to your knowledge. The case of a pipe with a square section has been investigated into details. The computations cover the full range of the two main dimensionless numbers and exhibit complex flow patterns: all the different flow regimes are completely identified.
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Dates et versions

hal-00133116 , version 1 (23-02-2007)
hal-00133116 , version 2 (20-09-2007)
hal-00133116 , version 3 (21-09-2007)

Identifiants

  • HAL Id : hal-00133116 , version 1

Citer

Nicolas Roquet, Pierre Saramito. An adaptive finite element method for viscoplastic flows in a pipe with stick-slip at the wall. 2007. ⟨hal-00133116v1⟩
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