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On compressible and piezo-viscous flow in thin porous media
Luleå University of Technology, Department of Engineering Sciences and Mathematics, Machine Elements.ORCID iD: 0000-0002-3556-328x
Luleå University of Technology, Department of Engineering Sciences and Mathematics, Mathematical Science.ORCID iD: 0000-0001-8211-3671
Luleå University of Technology, Department of Engineering Sciences and Mathematics, Machine Elements.ORCID iD: 0000-0001-7029-1112
2018 (English)In: Proceedings of the Royal Society. Mathematical, Physical and Engineering Sciences, ISSN 1364-5021, E-ISSN 1471-2946, Vol. 474, no 2209, article id 20170601Article in journal (Refereed) Published
Abstract [en]

n this paper, we study flow through thin porous media as in, e.g. seals or fractures. It is often useful to know the permeability of such systems. In the context of incompressible and iso-viscous fluids, the permeability is the constant of proportionality relating the total flow through the media to the pressure drop. In this work, we show that it is also relevant to define a constant permeability when compressible and/or piezo-viscous fluids are considered. More precisely, we show that the corresponding nonlinear equation describing the flow of any compressible and piezo-viscous fluid can be transformed into a single linear equation. Indeed, this linear equation is the same as the one describing the flow of an incompressible and iso-viscous fluid. By this transformation, the total flow can be expressed as the product of the permeability and a nonlinear function of pressure, which represents a generalized pressure drop.

Place, publisher, year, edition, pages
The Royal Society Publishing , 2018. Vol. 474, no 2209, article id 20170601
National Category
Tribology (Interacting Surfaces including Friction, Lubrication and Wear) Mathematical Analysis
Research subject
Machine Elements; Mathematics
Identifiers
URN: urn:nbn:se:ltu:diva-66601DOI: 10.1098/rspa.2017.0601ISI: 000423773800015PubMedID: 29434510Scopus ID: 2-s2.0-85048048793OAI: oai:DiVA.org:ltu-66601DiVA, id: diva2:1157616
Note

Validerad;2018;Nivå 2;2018-01-31 (andbra)

Available from: 2017-11-16 Created: 2017-11-16 Last updated: 2018-07-06Bibliographically approved

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Pérez Ràfols, Francesc

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Tribology (Interacting Surfaces including Friction, Lubrication and Wear)Mathematical Analysis

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