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Bridging the gap between the Darcy- Brinkman equations and the Nielsen model for tortuosity in polymer-filled systems

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Varsakelis, Christos [UCL] Papalexandris, Miltiadis [UCL]

The present study establishes the link between the well-known Nielsen model for the calculation of tortuosity in polymer-filled systems and the Darcy–Brinkman equation for flows in porous media. Based on the fact that the polymer-filled system is a porous medium, with properties fixed by the volume fraction and the geometry of the fillers, we employ the Darcy-Brinkman equations to compute an expression for tortuosity. This expression is then directly linked to the inter- phasial drag coefficient. Finally, we prove that the Nielsen model constitutes a special case of our derived formula.

Document type Article de périodique (Journal article) – Article de recherche
Access type Accès libre
Publication date 2020
Language Anglais
Journal information "Chemical Engineering Science" - Vol. 213, p. #115394 (2020)
Peer reviewed yes
Publisher Elsevier
issn 0009-2509
Publication status Publié
Affiliation UCL - SST/IMMC/TFL - Thermodynamics and fluid mechanics
Keywords Polymer filled systems ; Tortuosity ; Darcy-Brinkman equation ; porous media
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Bibliographic reference Varsakelis, Christos ; Papalexandris, Miltiadis. Bridging the gap between the Darcy- Brinkman equations and the Nielsen model for tortuosity in polymer-filled systems. In: Chemical Engineering Science, Vol. 213, p. #115394 (2020)
Permanent URL http://hdl.handle.net/2078.1/223098