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Fluid flow over and through a regular bundle of rigid fibres

Published online by Cambridge University Press:  29 February 2016

Giuseppe A. Zampogna  and
Alessandro Bottaro
Giuseppe A. Zampogna
Affiliation:
DICCA, Scuola Politecnica, Università di Genova, via Montallegro 1, 16145 Genova, Italy
Alessandro Bottaro*
Affiliation:
DICCA, Scuola Politecnica, Università di Genova, via Montallegro 1, 16145 Genova, Italy
*
†Email address for correspondence: alessandro.bottaro@unige.it
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Abstract

The interaction between a fluid flow and a transversely isotropic porous medium is described. A homogenized model is used to treat the flow field in the porous region, and different interface conditions, needed to match solutions at the boundary between the pure fluid and the porous regions, are evaluated. Two problems in different flow regimes (laminar and turbulent) are considered to validate the system, which includes inertia in the leading-order equations for the permeability tensor through a Oseen approximation. The components of the permeability, which characterize microscopically the porous medium and determine the flow field at the macroscopic scale, are reasonably well estimated by the theory, both in the laminar and the turbulent case. This is demonstrated by comparing the model’s results to both experimental measurements and direct numerical simulations of the Navier–Stokes equations which resolve the flow also through the pores of the medium.

JFM classification

Low-Reynolds-number flows: Low-Reynolds-number flows Low-Reynolds-number flows: Porous media

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Papers
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Journal of Fluid Mechanics , Volume 792 , 10 April 2016 , pp. 5 - 35
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© 2016 Cambridge University Press 

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