Including pore channel tortuosity in ergun´s equation using spheres packing of different sizes

Publisher FILTECH

R. Pereira Dias*, Instituto Politécnico de Bragança, Portugal

The experimental porosity (ε) measurements ranged from 0.1955 (minimum porosity region of binary packing) to 0.3974 (monodisperse packing) and compared well with different models from the literature. Using experiments at low Reynolds numbers (0.15 to 0.3: Darcy regime) the tortuosity coefficient, r, was modelled using the formula r = (1/?)? and it was found that n is well described by ?=0.1836ln(?)+0.682. Increasing Ergun Reynolds number (ReErg) to the range 2.87 <ReErg < 110.42 we studied the viscous-inertial regime (non-Darcy flows) and compared the friction factor fErg experimental measurements with the model from Comiti and Renaud (1989), this model including the tortuosity coefficient. It was found that the experimental data was well described by this model using a Nikuradse friction factor f/2 = 0 0.06 (a roughness about 0.7 the value of the pore diameter DH). The friction factor decreased from 0.0968 to 0.06 given that we obtained loose packings (porosity of mono-sized packings was in the range 0.3723 to 0.3974) and Comiti and Renaud obtained dense packings (mono-sized packing of spheres with ε = 0.36). fErg experimental measurements were also compared with the model from Molerus (1980), this model including the influence of the Reynolds number in the inertial term and the packing parameter...

Published in: FILTECH 2026 Conference

Date of Conference: 30 June - 2 July 2026

DOI: -

Presenter's Affiliation: Instituto Politécnico de Bragança, Campus de Santa Apolónia

Publisher: FILTECH Exhibitions GmbH & Co. KG

Country: Portugal

Electronic ISBN: 978-3-941655-25-6

Conference Location: Cologne, Germany

Keywords: Darcy Equation, Filtration, Porosity, Porous Media