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Definition and counting of configurational microstates in steady-state two-phase flows in pore networks

Valavanides Marios S., Daras Tryfonas

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URIhttp://purl.tuc.gr/dl/dias/B9963BA2-1FD9-4E37-9F35-7277937EF312-
Identifierhttps://www.mdpi.com/1099-4300/18/2/54-
Identifierhttps://doi.org/10.3390/e18020054-
Languageen-
TitleDefinition and counting of configurational microstates in steady-state two-phase flows in pore networksen
CreatorValavanides Marios S.en
CreatorDaras Tryfonasen
CreatorΔαρας Τρυφωναςel
PublisherMDPIen
Content SummarySteady-state two-phase flow in porous media is a process whereby a wetting phase displaces a non-wetting phase within a pore network. It is an off-equilibrium stationary process-in the sense that it is maintained in dynamic equilibrium at the expense of energy supplied to the system. The efficiency of the process depends on its spontaneity, measurable by the rate of global entropy production. The latter has been proposed to comprise two components: The rate of mechanical energy dissipation at constant temperature (a thermal entropy component, Q/T, in the continuum mechanics scale) and the configurational entropy (a Boltzmann-Gibbs entropy component, klnW), due to the existence of a canonical ensemble of flow configurations, physically admissible to the externally imposed macrostate conditions. Here, we propose an analytical model to account the number of microstates, lnW, in two-phase flows in pore networks. Combinatorial analysis is implemented to evaluate the number of identified microstates per physically admissible internal flow arrangement, compatible with the imposed steady-state flow conditions. Then, Stirling's approximation is applied to downscale the large factorial numbers. Finally, the number of microstates is estimated by contriving an appropriate mixing scheme over the canonical ensemble of the physically admissible flow configurations. Indicative computations are furnished.en
Type of ItemPeer-Reviewed Journal Publicationen
Type of ItemΔημοσίευση σε Περιοδικό με Κριτέςel
Licensehttp://creativecommons.org/licenses/by/4.0/en
Date of Item2018-11-02-
Date of Publication2016-
SubjectBoltzmann-Gibbs entropyen
SubjectConfigurational entropyen
SubjectMaximum entropy production principleen
SubjectMicrostatesen
SubjectPorous mediaen
SubjectTwo-phase flowen
Bibliographic CitationM. S. Valavanides and T. Daras, "Definition and counting of configurational microstates in steady-state two-phase flows in pore networks," Entropy, vol. 18, no. 2, Feb. 2016. doi: 10.3390/e18020054en

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