dc.contributor.advisor | Hansen, Alex | |
dc.contributor.advisor | Kjelstrup, Signe | |
dc.contributor.author | Savani, Isha | |
dc.date.accessioned | 2017-03-02T12:04:56Z | |
dc.date.available | 2017-03-02T12:04:56Z | |
dc.date.issued | 2016 | |
dc.identifier.isbn | 978-82-326-2009-8 | |
dc.identifier.issn | 1503-8181 | |
dc.identifier.uri | http://hdl.handle.net/11250/2432735 | |
dc.description.abstract | The world that we live in is a consortium of fluid-solid interactions. The field of two-phase flow in porous materials poses interesting questions regarding such interactions. In this project, we develop a statistical mechanical and non-equilibrium thermodynamical formalism to describe the flow of immiscible fluids in porous media such as rocks or sand.
A key concept underpinning this work is the configuration probability, also known as the ensemble distribution. It is the probability that a fluid bubble has a certain position in the space of interest. The knowledge of the configuration probability allows us to construct a very efficient Metropolis Monte Carlo algorithm to evolve the two-phase flow system to steady-state.
Central to two-phase flow problems is the relative permeability formalism, which describes the behavior of two immsicible fluids that are competing for the void space in a porous material. We question the assumptions upon which this formalism is based and derive new equations that are analogous to thermodynamic relations such as the Gibbs Duhem equation.
Finally, as a concrete example of industrial applications of non-equilibrium thermodynamics, we investigate the capacity of thermoelectric generators to produce power from a transient environment of a silicon production plant operating at very high temperatures. | nb_NO |
dc.language.iso | eng | nb_NO |
dc.publisher | NTNU | nb_NO |
dc.relation.ispartofseries | Doctoral theses at NTNU;2016:335 | |
dc.title | Non-equilibrium Statistical Mechanics of Two-Phase Flow in Porous Media | nb_NO |
dc.type | Doctoral thesis | nb_NO |
dc.subject.nsi | VDP::Mathematics and natural science: 400::Physics: 430 | nb_NO |