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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-
Αναγνωριστικόhttps://www.mdpi.com/1099-4300/18/2/54-
Αναγνωριστικόhttps://doi.org/10.3390/e18020054-
Γλώσσαen-
ΤίτλοςDefinition and counting of configurational microstates in steady-state two-phase flows in pore networksen
ΔημιουργόςValavanides Marios S.en
ΔημιουργόςDaras Tryfonasen
ΔημιουργόςΔαρας Τρυφωναςel
ΕκδότηςMDPIen
ΠερίληψηSteady-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
ΤύποςPeer-Reviewed Journal Publicationen
ΤύποςΔημοσίευση σε Περιοδικό με Κριτέςel
Άδεια Χρήσηςhttp://creativecommons.org/licenses/by/4.0/en
Ημερομηνία2018-11-02-
Ημερομηνία Δημοσίευσης2016-
Θεματική ΚατηγορίαBoltzmann-Gibbs entropyen
Θεματική ΚατηγορίαConfigurational entropyen
Θεματική ΚατηγορίαMaximum entropy production principleen
Θεματική ΚατηγορίαMicrostatesen
Θεματική ΚατηγορίαPorous mediaen
Θεματική ΚατηγορίαTwo-phase flowen
Βιβλιογραφική ΑναφοράM. 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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