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Flow through a hexagonal array of perturbed spheres at low to high Reynolds number
Luleå University of Technology, Department of Engineering Sciences and Mathematics, Fluid and Experimental Mechanics.
2007 (English)In: Abstracts of the Second International Conference on Porous Media and its Applications in Science, Engineering and Industry, Engineering Conferences International , 2007Conference paper (Refereed)
Abstract [en]

When performing numerical simulations of fluid flow through porous media it is necessary to know when to switch from a creeping flow formulation to a more elaborate laminar description. In the creeping flow regime the Darcy law is sufficient while when inertia-effects become significant it is necessarily to use the full Navier-Stokes equations or at least add a non-linear term to Darcy's law as done in the empirically derived Ergun equation. The latter equation has also turned out to be valid for turbulent flows. It is however not obvious which equation to use at a certain Reynolds number. In order to solve this problem Computational Fluid Dynamics is used to derive the apparent permeability of a hexagonal packed array of spheres. In addition the forces acting on the spheres are derived when a perturbation in the form of a spherically shaped particle is introduced in the pore space. Then simulations are performed at various Reynolds number ranging from the creeping flow region to moderate Reynolds number flows. The simulations are carried out with the commercially available software, ANSYS CFX 11.0, with a particular effort on grid refinement and numerical iteration in order to secure that the errors are sufficiently small. One result is that inertia effects become important already at Reynolds number about 5 for as well the array as the perturbed geometry. As the particle radius increases the shear and normal forces per unit area decreases. In general, these forces increase with Reynolds number. The simulations however show that for some cases the normal forces per unit area decreases and even change sign as Reynolds number increases.

Place, publisher, year, edition, pages
Engineering Conferences International , 2007.
Research subject
Fluid Mechanics
URN: urn:nbn:se:ltu:diva-35162Local ID: 993e3010-7026-11dc-a60c-000ea68e967bOAI: diva2:1008414
International Conference on Porous Media and its Applications in Science, Engineering and Industry : 17/06/2007 - 21/06/2007
Godkänd; 2007; 20071001 (gunhel)Available from: 2016-09-30 Created: 2016-09-30 Last updated: 2017-01-19Bibliographically approved

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Hellström, J. Gunnar I.Ljung, Anna-LenaLundström, Staffan
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