Flow Regimes in Packed Beds of Spheres from Pre-Darcy to Turbulent

Characteristics of flow regimes in porous media, along the processes of energy dissipation in each regime, are critical for applications of such media. The current work presents new experimental data for water flow in packed steel spheres of 1- and 3-mm diameters. The porosity of the porous media wa...

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Bibliographic Details
Published in:Transport in porous media 2014-09, Vol.104 (3), p.501-520
Main Authors: Bağcı, Özer, Dukhan, Nihad, Özdemir, Mustafa
Format: Article
Language:English
Subjects:
Civil Engineering
Classical and Continuum Physics
Diameters
Divergence
Earth and Environmental Science
Earth Sciences
Earth, ocean, space
Energy dissipation
Engineering and environment geology. Geothermics
Exact sciences and technology
Fluid dynamics
Fluid flow
Friction factor
Geotechnical Engineering & Applied Earth Sciences
Hydrogeology
Hydrology. Hydrogeology
Hydrology/Water Resources
Industrial Chemistry/Chemical Engineering
Packed beds
Permeability
Pollution, environment geology
Porosity
Porous media
Pressure drop
Reynolds number
Water flow
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Summary:Characteristics of flow regimes in porous media, along the processes of energy dissipation in each regime, are critical for applications of such media. The current work presents new experimental data for water flow in packed steel spheres of 1- and 3-mm diameters. The porosity of the porous media was about 35 % for both cases. The extensive dataset covered a broad range of flow Reynolds number such that several important flow regimes were encountered, including the elusive pre-Darcy regime, which is rarely or never seen in porous-media literature and turbulent regime. When compared to previous information, the results of this study are seen to add to the divergence of available data on pressure drop in packed beds of spheres. The divergence was also present in the coefficients of Ergun equation and in the Kozeny–Carman constant. The porous media of the current work were seen to exhibit different values of permeability and Forchheimer coefficient in each flow regime. The current data correlated well using the friction factor based on the permeability (measured in the Darcy regime) and the Reynolds number based on the same length scale. An attempt was made to apply recent theoretical results regarding the applicability of the quadratic and cubic Forchheimer corrections in the strong and weak inertia regime.
ISSN:0169-3913
1573-1634
DOI:10.1007/s11242-014-0345-0