Ιδρυματικό Αποθετήριο
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Πολυτεχνείο Κρήτης
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| URI | http://purl.tuc.gr/dl/dias/B9963BA2-1FD9-4E37-9F35-7277937EF312 | - |
| Αναγνωριστικό | https://www.mdpi.com/1099-4300/18/2/54 | - |
| Αναγνωριστικό | https://doi.org/10.3390/e18020054 | - |
| Γλώσσα | en | - |
| Τίτλος | Definition and counting of configurational microstates in steady-state two-phase flows in pore networks | en |
| Δημιουργός | Valavanides Marios S. | en |
| Δημιουργός | Daras Tryfonas | en |
| Δημιουργός | Δαρας Τρυφωνας | el |
| Εκδότης | MDPI | en |
| Περίληψη | Steady-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 |
| Τύπος | Peer-Reviewed Journal Publication | en |
| Τύπος | Δημοσίευση σε Περιοδικό με Κριτές | el |
| Άδεια Χρήσης | http://creativecommons.org/licenses/by/4.0/ | en |
| Ημερομηνία | 2018-11-02 | - |
| Ημερομηνία Δημοσίευσης | 2016 | - |
| Θεματική Κατηγορία | Boltzmann-Gibbs entropy | en |
| Θεματική Κατηγορία | Configurational entropy | en |
| Θεματική Κατηγορία | Maximum entropy production principle | en |
| Θεματική Κατηγορία | Microstates | en |
| Θεματική Κατηγορία | Porous media | en |
| Θεματική Κατηγορία | Two-phase flow | en |
| Βιβλιογραφική Αναφορά | M. 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/e18020054 | en |
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