Title: Multi-scale modelling of flow in periodic solid structures through spatial averaging
Authors: Buckinx, Geert ×
Baelmans, Martine #
Issue Date: 12-Mar-2015
Publisher: Academic Press
Series Title: Journal of Computational Physics vol:291 pages:34-51
Abstract: This paper presents spatially averaged Navier–Stokes equations for modelling macro-scale flow in devices with periodic solid structures such as fin and tube arrays. The properties of steady and unsteady periodically developed flow are investigated to assess different strategies for determining the closure terms in the macro-scale flow equations. It is shown that the spatial averaging technique requires an appropriate weighting function to ensure that the closure terms are spatially constant for periodically developed flow. Moreover, through an appropriate choice of the weighting function, the closure terms can be obtained by solving a local closure problem on a unit cell of the periodic structures. The theoretical framework of this paper is applied as multi-scale modelling technique for flow through a cylindrical tube array. This case study illustrates the advantages of the weighted spatial averaging technique over the volume averaging technique.
ISSN: 0021-9991
Publication status: published
KU Leuven publication type: IT
Appears in Collections:Applied Mechanics and Energy Conversion Section
× corresponding author
# (joint) last author

Files in This Item:
File Description Status SizeFormat
1-s2.0-S0021999115001448-main.pdf Published 693KbAdobe PDFView/Open Request a copy

These files are only available to some KU Leuven Association staff members


All items in Lirias are protected by copyright, with all rights reserved.

© Web of science