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A discussion on the interpretation of the Darcy equation in case of open-cell metal foam based on numerical simulations

Sven De Schampheleire UGent, Kathleen De Kerpel UGent, Bernd Ameel UGent, Peter De Jaeger UGent, Özer Bağci UGent and Michel De Paepe UGent (2016) MATERIALS. 9(6).
abstract
It is long known that for high-velocity fluid flow in porous media, the relation between the pressure drop and the superficial velocity is not linear. Indeed, the classical Darcy law for shear stress dominated flow needs to be extended with a quadratic term, resulting in the empirical Darcy–Forchheimer model. Another approach is to simulate the foam numerically through the volume averaging technique. This leads to a natural separation of the total drag force into the contribution of the shear forces and the contribution of the pressure forces. Both representations of the total drag lead to the same result. The physical correspondence between both approaches is investigated in this work. The contribution of the viscous and pressure forces on the total drag is investigated using direct numerical simulations. Special attention is paid to the dependency on the velocity of these forces. The separation of the drag into its constituent terms on experimental grounds and for the volume average approach is unified. It is shown that the common approach to identify the linear term with the viscous forces and the quadratic term with the pressure forces is not correct.
Please use this url to cite or link to this publication:
author
organization
year
type
journalArticle (original)
publication status
published
subject
keyword
volume averaging theory, permeability, inertial coefficient, Darcy, Forchheimer, metal foam, pressure drop, ALUMINUM FOAM, POROUS-MEDIA, FLOW REGIMES, PERMEABILITY, DERIVATION, TRANSPORT
journal title
MATERIALS
volume
9
issue
6
issue title
Metal Foams: Synthesis, Characterization and Applications
article number
409
pages
15 pages
publisher
MDPI
place of publication
Basel, Switserland
Web of Science type
Article
Web of Science id
000378630600008
JCR category
MATERIALS SCIENCE, MULTIDISCIPLINARY
JCR impact factor
2.654 (2016)
JCR rank
82/275 (2016)
JCR quartile
2 (2016)
ISSN
1996-1944
DOI
10.3390/ma9060409
language
English
UGent publication?
yes
classification
A1
copyright statement
I have retained and own the full copyright for this publication
id
7225718
handle
http://hdl.handle.net/1854/LU-7225718
date created
2016-05-25 11:21:14
date last changed
2017-01-02 09:57:27
@article{7225718,
  abstract     = {It is long known that for high-velocity fluid flow in porous media, the relation between the pressure drop and the superficial velocity is not linear. Indeed, the classical Darcy law for shear stress dominated flow needs to be extended with a quadratic term, resulting in the empirical Darcy--Forchheimer model. Another approach is to simulate the foam numerically through the volume averaging technique. This leads to a natural separation of the total drag force into the contribution of the shear forces and the contribution of the pressure forces. Both representations of the total drag lead to the same result. The physical correspondence between both approaches is investigated in this work. The contribution of the viscous and pressure forces on the total drag is investigated using direct numerical simulations. Special attention is paid to the dependency on the velocity of these forces. The separation of the drag into its constituent terms on experimental grounds and for the volume average approach is unified. It is shown that the common approach to identify the linear term with the viscous forces and the quadratic term with the pressure forces is not correct.},
  articleno    = {409},
  author       = {De Schampheleire, Sven and De Kerpel, Kathleen and Ameel, Bernd and De Jaeger, Peter and Ba\u{g}ci, {\"O}zer and De Paepe, Michel},
  issn         = {1996-1944},
  journal      = {MATERIALS},
  keyword      = {volume averaging theory,permeability,inertial coefficient,Darcy,Forchheimer,metal foam,pressure drop,ALUMINUM FOAM,POROUS-MEDIA,FLOW REGIMES,PERMEABILITY,DERIVATION,TRANSPORT},
  language     = {eng},
  number       = {6},
  pages        = {15},
  publisher    = {MDPI},
  title        = {A discussion on the interpretation of the Darcy equation in case of open-cell metal foam based on numerical simulations},
  url          = {http://dx.doi.org/10.3390/ma9060409},
  volume       = {9},
  year         = {2016},
}

Chicago
De Schampheleire, Sven, Kathleen De Kerpel, Bernd Ameel, Peter De Jaeger, Özer Bağci, and Michel De Paepe. 2016. “A Discussion on the Interpretation of the Darcy Equation in Case of Open-cell Metal Foam Based on Numerical Simulations.” Materials 9 (6).
APA
De Schampheleire, S., De Kerpel, K., Ameel, B., De Jaeger, P., Bağci, Ö., & De Paepe, M. (2016). A discussion on the interpretation of the Darcy equation in case of open-cell metal foam based on numerical simulations. MATERIALS, 9(6).
Vancouver
1.
De Schampheleire S, De Kerpel K, Ameel B, De Jaeger P, Bağci Ö, De Paepe M. A discussion on the interpretation of the Darcy equation in case of open-cell metal foam based on numerical simulations. MATERIALS. Basel, Switserland: MDPI; 2016;9(6).
MLA
De Schampheleire, Sven, Kathleen De Kerpel, Bernd Ameel, et al. “A Discussion on the Interpretation of the Darcy Equation in Case of Open-cell Metal Foam Based on Numerical Simulations.” MATERIALS 9.6 (2016): n. pag. Print.