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Laminar and turbulent flow through an array of cylinders
Luleå University of Technology, Department of Engineering Sciences and Mathematics, Fluid and Experimental Mechanics.ORCID iD: 0000-0002-8360-9051
Epsilon HighTech AB, Göteborg.
2010 (English)In: Journal of Porous Media, ISSN 1091-028X, E-ISSN 1934-0508, Vol. 13, no 12, p. 1073-1085Article in journal (Refereed) Published
Abstract [en]

When modeling fluid flow through porous media it is necessary to know when to take inertia effects into account, as well as when to switch to a turbulent description of the flow. From an engineering point of view, the problem is often solved with the empirically derived Ergun equation or a recently upgraded version by Nemec and Levec [Chem. Eng. Sci., vol. 60, pp. 6947−6957, 2005]. The drawback with this approach is, however, that the mechanisms for the transitions between the three states of flow are not revealed and time-consuming experiments have to be performed. In order to increase knowledge of the detailed flow, numerical studies of flow through arrays of quadratically packed cylinders at a variety of Re values were carried out. One result is that the laminar and turbulent approaches used both mimic experimental results for low Re, while for higher Re only the turbulent approach resembles the empirically derived equations. The deviation from Darcy’s law for different porosities of the array can be defined by usage of Re based on the hydraulic radius and the average interstitial velocity. However, to find a common Re when turbulence need to be accounted for, another Re based solely on the averaged interstitial velocity and the diameter of the cylinders was used. It was found that at low Re the laminar and turbulent setups give practically the same velocity fields, while the turbulent dissipation at higher Re results in larger circulation zones and weaker jets.

Place, publisher, year, edition, pages
2010. Vol. 13, no 12, p. 1073-1085
National Category
Fluid Mechanics and Acoustics
Research subject
Fluid Mechanics
Identifiers
URN: urn:nbn:se:ltu:diva-3335DOI: 10.1615/JPorMedia.v13.i12.30Scopus ID: 2-s2.0-78650647955Local ID: 12529ea0-71c6-11dc-86ab-000ea68e967bOAI: oai:DiVA.org:ltu-3335DiVA, id: diva2:976193
Note
Validerad; 2010; 20071003 (ysko)Available from: 2016-09-29 Created: 2016-09-29 Last updated: 2018-07-10Bibliographically approved

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Hellström, J. Gunnar I.Lundström, Staffan

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