Show simple item record

dc.contributor.authorRoy, Subhadeep
dc.contributor.authorHansen, Alex
dc.contributor.authorSinha, Santanu
dc.identifier.citationFrontiers in Physics. 2019, 7 (JULY), .nb_NO
dc.description.abstractWe 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.publisherFrontiers Medianb_NO
dc.rightsNavngivelse 4.0 Internasjonal*
dc.titleEffective rheology of two-phase flow in a capillary fiber bundle modelnb_NO
dc.typeJournal articlenb_NO
dc.typePeer reviewednb_NO
dc.source.journalFrontiers in Physicsnb_NO
dc.relation.projectNorges forskningsråd: 262644nb_NO
dc.description.localcodeCopyright © 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.unitnameInstitutt for fysikk

Files in this item


This item appears in the following Collection(s)

Show simple item record

Navngivelse 4.0 Internasjonal
Except where otherwise noted, this item's license is described as Navngivelse 4.0 Internasjonal