dc.contributor.author | Roy, Subhadeep | |
dc.contributor.author | Hansen, Alex | |
dc.contributor.author | Sinha, Santanu | |
dc.date.accessioned | 2020-02-06T07:28:55Z | |
dc.date.available | 2020-02-06T07:28:55Z | |
dc.date.created | 2019-09-09T11:58:30Z | |
dc.date.issued | 2019 | |
dc.identifier.citation | Frontiers in Physics. 2019, 7 (JULY), . | nb_NO |
dc.identifier.issn | 2296-424X | |
dc.identifier.uri | http://hdl.handle.net/11250/2639914 | |
dc.description.abstract | We investigate the effective rheology of two-phase flow in a bundle of parallel capillary tubes carrying two immiscible fluids under an external pressure drop. The diameter of the tubes vary along the length which introduce capillary threshold pressures. We demonstrate through analytical calculations that a transition from a linear Darcy to a non-linear behavior occurs while decreasing the pressure drop ΔP, where the total flow rate 〈Q〉 varies with ΔP with an exponent 2 as 〈Q〉~ΔP2 for uniform threshold distribution. The exponent changes when a lower cut-off Pm is introduced in the threshold distribution and in the limit where ΔP approaches Pm, the flow rate scales as ⟨Q⟩ ~ (|ΔP|−Pm)3/2. While considering threshold distribution with a power α, we find that the exponent γ for the non-linear regime vary as γ = α + 1 for Pm = 0 and γ = α + 1/2 for Pm > 0. We provide numerical results in support of our analytical findings. | nb_NO |
dc.language.iso | eng | nb_NO |
dc.publisher | Frontiers Media | nb_NO |
dc.rights | Navngivelse 4.0 Internasjonal | * |
dc.rights.uri | http://creativecommons.org/licenses/by/4.0/deed.no | * |
dc.title | Effective rheology of two-phase flow in a capillary fiber bundle model | nb_NO |
dc.type | Journal article | nb_NO |
dc.type | Peer reviewed | nb_NO |
dc.description.version | publishedVersion | nb_NO |
dc.source.pagenumber | 7 | nb_NO |
dc.source.volume | 7 | nb_NO |
dc.source.journal | Frontiers in Physics | nb_NO |
dc.source.issue | JULY | nb_NO |
dc.identifier.doi | 10.3389/fphy.2019.00092 | |
dc.identifier.cristin | 1722752 | |
dc.relation.project | Norges forskningsråd: 262644 | nb_NO |
dc.description.localcode | Copyright © 2019 Roy, Hansen and Sinha. This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms. | nb_NO |
cristin.unitcode | 194,66,20,0 | |
cristin.unitname | Institutt for fysikk | |
cristin.ispublished | true | |
cristin.fulltext | original | |
cristin.qualitycode | 1 | |