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

Varsakelis, Christos;Papalexandris, Miltiadis
(2020) Chemical Engineering Science — Vol. 213, p. 115394 (2020)

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Abstract
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.
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Varsakelis, C., & Papalexandris, M. (2020). Bridging the gap between the Darcy- Brinkman equations and the Nielsen model for tortuosity in polymer-filled systems. Chemical Engineering Science, 213, 115394. https://hdl.handle.net/2078.5/170901 (Original work published 2020)