Slug Self-Propulsion in a Capillary Tube Mathematical Modeling and Numerical Simulation

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dc.contributor.authorKhodabocus MI
dc.contributor.authorSellier M
dc.contributor.authorNock V
dc.date.accessioned2017-07-06T00:46:18Z
dc.date.available2017-07-06T00:46:18Z
dc.date.issued2016en
dc.date.updated2017-07-01T00:25:35Z
dc.description.abstract© 2016 M. I. Khodabocus et al.A composite droplet made of two miscible fluids in a narrow tube generally moves under the action of capillarity until complete mixture is attained. This physical situation is analysed here on a combined theoretical and numerical analysis. The mathematical framework consists of the two-phase flow phase-field equation set, an advection-diffusion chemical concentration equation, and closure relationships relating the surface tensions to the chemical concentration. The numerical framework is composed of the COMSOL Laminar two-phase flow phase-field method coupled with an advection-diffusion chemical concentration equation. Through transient studies, we show that the penetrating length of the bidroplet system into the capillary tube is linear at early-time regime and exponential at late-time regime. Through parametric studies, we show that the rate of penetration of the bidroplet system into the capillary tube is proportional to a time-dependent exponential function. We also show that this speed obeys the Poiseuille law at the early-time regime. A series of position, speed-versus-property graphs are included to support the analysis. Finally, the overall results are contrasted with available experimental data, grouped together to settle a general mathematical description of the phenomenon, and explained and concluded on this basis.en
dc.identifier.citationKhodabocus MI, Sellier M, Nock V (2016). Slug Self-Propulsion in a Capillary Tube Mathematical Modeling and Numerical Simulation. Advances in Mathematical Physics. 2016. 1-16.en
dc.identifier.doihttps://doi.org/10.1155/2016/1234642
dc.identifier.issn1687-9120
dc.identifier.issn1687-9139
dc.identifier.urihttp://hdl.handle.net/10092/13672
dc.language.isoen
dc.subject.anzsrcFields of Research::40 - Engineering::4012 - Fluid mechanics and thermal engineering::401299 - Fluid mechanics and thermal engineering not elsewhere classifieden
dc.subject.anzsrcField of Research::01 - Mathematical Sciences::0105 - Mathematical Physicsen
dc.titleSlug Self-Propulsion in a Capillary Tube Mathematical Modeling and Numerical Simulationen
dc.typeJournal Articleen
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