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Numerical investigation of Herschel–Bulkley fluid flows in 2D porous media: Yielding behaviour and tortuosity

Article dans une revue avec comité de lecture
Author
RODRIGUEZ DE CASTRO, Antonio
211915 Mechanics surfaces and materials processing [MSMP]
302628 HESAM Université - Communauté d'universités et d'établissements Hautes écoles Sorbonne Arts et métiers université [HESAM]
AGNAOU, Mehrez
301081 University of Waterloo [Waterloo]
AHMADI-SENICHAULT, Azita
302628 HESAM Université - Communauté d'universités et d'établissements Hautes écoles Sorbonne Arts et métiers université [HESAM]
1002421 Institut de Mécanique et d'Ingénierie [I2M]
OMARI, Abdelaziz
1002421 Institut de Mécanique et d'Ingénierie [I2M]

URI
http://hdl.handle.net/10985/20622
DOI
10.1016/j.compchemeng.2020.106922
Date
2020
Journal
Computers & Chemical Engineering

Abstract

Hydraulic tortuosity is commonly used as an input to macroscopic flow models in porous media, accounting for the sinuosity of the streamlines. It is well known that hydraulic tortuosity does not depend on the applied pressure gradient for Newtonian creeping flows. Nevertheless, this is not necessarily the case for yield stress fluids flows, given the directional nature of both yielding and shear-thinning behaviour. This study aims at a breakthrough on the relationship between the hydraulic tortuosity and the level of yielding. To do so, the hydraulic tortuosity of the flow paths is evaluated in 2D porous media by means of direct numerical simulations and subsequently put in relation with the morphological information of the medium provided by pore-network modelling. Moreover, the effects of pore dimensions, spatial disorder and rheological parameters on yielding behaviour are examined. In most situations, the reported tortuosity values are lower than those obtained for Newtonian fluids.

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