Similitude applied to centrifugal scaling of unsaturated flow

Barry, D. A., Lisle, I. G., Li, L., Prommer, H., Parlange, J. -Y., Sander, G. C. and Griffioen, J. W. (2001) Similitude applied to centrifugal scaling of unsaturated flow. Water Resources Research, 37 10: 2471-2479. doi:10.1029/2000WR000049

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Author Barry, D. A.
Lisle, I. G.
Li, L.
Prommer, H.
Parlange, J. -Y.
Sander, G. C.
Griffioen, J. W.
Title Similitude applied to centrifugal scaling of unsaturated flow
Journal name Water Resources Research   Check publisher's open access policy
ISSN 0043-1397
Publication date 2001-01-01
Sub-type Article (original research)
DOI 10.1029/2000WR000049
Open Access Status File (Publisher version)
Volume 37
Issue 10
Start page 2471
End page 2479
Total pages 9
Place of publication Washington, DC, United States
Publisher Amer Geophysical Union
Language eng
Abstract Centrifuge experiments modeling single-phase flow in prototype porous media typically use the same porous medium and permeant. Then, well-known scaling laws are used to transfer the results to the prototype. More general scaling laws that relax these restrictions are presented. For permeants that are immiscible with an accompanying gas phase, model-prototype (i.e., centrifuge model experiment-target system) scaling is demonstrated. Scaling is shown to be feasible for Miller-similar (or geometrically similar) media. Scalings are presented for a more, general class, Lisle-similar media, based on the equivalence mapping of Richards' equation onto itself. Whereas model-prototype scaling of Miller-similar media can be realized easily for arbitrary boundary conditions, Lisle-similarity in a finite length medium generally, but not always, involves a mapping to a moving boundary problem. An exception occurs for redistribution in Lisle-similar porous media, which is shown to map to spatially fixed boundary conditions. Complete model-prototype scalings for this example are derived.
Keyword Environmental Sciences
Water Resources
Diffusion-convection Equation
Rate Rainfall Infiltration
Versatile Nonlinear Model
Solute Transport
Geotechnical Centrifuge
Unstable Infiltration
Richards Equation
Q-Index Code C1
Q-Index Status Provisional Code
Institutional Status Non-UQ

Document type: Journal Article
Sub-type: Article (original research)
Collection: School of Civil Engineering Publications
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Citation counts: TR Web of Science Citation Count  Cited 11 times in Thomson Reuters Web of Science Article | Citations
Scopus Citation Count Cited 15 times in Scopus Article | Citations
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Created: Mon, 13 Aug 2007, 22:33:42 EST