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http://hdl.handle.net/1942/34097
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DC Field | Value | Language |
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dc.contributor.author | LUNOWA, Stephan | - |
dc.contributor.author | BRINGEDAL, Carina | - |
dc.contributor.author | POP, Sorin | - |
dc.date.accessioned | 2021-05-27T09:18:12Z | - |
dc.date.available | 2021-05-27T09:18:12Z | - |
dc.date.issued | 2021 | - |
dc.date.submitted | 2021-05-17T11:49:52Z | - |
dc.identifier.citation | STUDIES IN APPLIED MATHEMATICS, 147 (1) , p. 84-126 | - |
dc.identifier.issn | 0022-2526 | - |
dc.identifier.uri | http://hdl.handle.net/1942/34097 | - |
dc.description.abstract | We consider a model for the flow of two immiscible fluids in a two-dimensional thin strip of varying width. This represents an idealization of a pore in a porous medium. The interface separating the fluids forms a freely moving interface in contact with the wall and is driven by the fluid flow and surface tension. The contact-line model incorporates Navier-slip boundary conditions and a dynamic and possibly hysteretic contact angle law. We assume a scale separation between the typical width and the length of the thin strip. Based on asymptotic expansions, we derive effective models for the two-phase flow. These models form a system of differential algebraic equations for the interface position and the total flux. The result is Darcy-type equations for the flow, combined with a capillary pressure-saturation relationship involving dynamic effects. Finally, we provide some numerical examples to show the effect of a varying wall width, of the viscosity ratio, of the slip boundary condition as well as of having a dynamic contact angle law. | - |
dc.description.sponsorship | Universiteit Hasselt, Grant/Award Number: BOF17NI01; Deutsche Forschungsgemeinschaft, Grant/Award Number: 327154368; FondsWetenschappelijk Onderzoek, Grant/Award Numbers: G051418N, G0G1316M | - |
dc.language.iso | en | - |
dc.publisher | WILEY | - |
dc.rights | 2021 Wiley Periodicals LLC | - |
dc.subject.other | asymptotic expansions | - |
dc.subject.other | dynamic contact angle | - |
dc.subject.other | freely moving interface | - |
dc.subject.other | thin strip | - |
dc.subject.other | two‐ | - |
dc.subject.other | phase flow | - |
dc.subject.other | upscaled models | - |
dc.title | On an averaged model for immiscible two-phase flow with surface tension and dynamic contact angle in a thin strip | - |
dc.type | Journal Contribution | - |
dc.identifier.epage | 126 | - |
dc.identifier.issue | 1 | - |
dc.identifier.spage | 84 | - |
dc.identifier.volume | 147 | - |
local.bibliographicCitation.jcat | A1 | - |
local.publisher.place | 111 RIVER ST, HOBOKEN 07030-5774, NJ USA | - |
local.type.refereed | Refereed | - |
local.type.specified | Article | - |
dc.identifier.doi | 10.1111/sapm.12376 | - |
dc.identifier.isi | 000640117200001 | - |
dc.identifier.eissn | 1467-9590 | - |
local.provider.type | - | |
local.uhasselt.uhpub | yes | - |
local.uhasselt.international | yes | - |
item.fulltext | With Fulltext | - |
item.contributor | LUNOWA, Stephan | - |
item.contributor | BRINGEDAL, Carina | - |
item.contributor | POP, Sorin | - |
item.accessRights | Open Access | - |
item.validation | ecoom 2022 | - |
item.fullcitation | LUNOWA, Stephan; BRINGEDAL, Carina & POP, Sorin (2021) On an averaged model for immiscible two-phase flow with surface tension and dynamic contact angle in a thin strip. In: STUDIES IN APPLIED MATHEMATICS, 147 (1) , p. 84-126. | - |
crisitem.journal.issn | 0022-2526 | - |
crisitem.journal.eissn | 1467-9590 | - |
Appears in Collections: | Research publications |
Files in This Item:
File | Description | Size | Format | |
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Stud Appl Math - 2021 - Lunowa - On an averaged model for immiscible two‐phase flow with surface tension and dynamic.pdf | Published version | 1.75 MB | Adobe PDF | View/Open |
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