dc.contributor.author | Kalogirou, Anna | en |
dc.contributor.author | Papageorgiou, Demetrios T. | en |
dc.contributor.author | Smyrlis, Yiorgos-Sokratis | en |
dc.creator | Kalogirou, Anna | en |
dc.creator | Papageorgiou, Demetrios T. | en |
dc.creator | Smyrlis, Yiorgos-Sokratis | en |
dc.date.accessioned | 2019-12-02T10:35:52Z | |
dc.date.available | 2019-12-02T10:35:52Z | |
dc.date.issued | 2012 | |
dc.identifier.uri | http://gnosis.library.ucy.ac.cy/handle/7/57003 | |
dc.description.abstract | The flow of two superposed fluids in a channel in the presence of an insoluble surfactant is studied. Asymptotic analysis when one of the layers is thin yields a system of coupled weakly non-linear evolution equations for the film thickness and the local surface surfactant concentration. Film and main flow dynamics are coupled through a non-local term, and in the absence of surfactants the model is nonlinearly stable with trivial large time solutions. Instability arises due to the presence of surfactants and the pseudo-differential non-linear system is solved numerically by implementing accurate linearly implicit methods. Extensive numerical experiments reveal that the dynamics are mostly organized into travelling or time-periodic travelling wave pulses, but spatiotemporal chaos is also supported when the length of the system is sufficiently large. © The authors 2012. | en |
dc.source | IMA Journal of Applied Mathematics (Institute of Mathematics and Its Applications) | en |
dc.source.uri | https://www.scopus.com/inward/record.uri?eid=2-s2.0-84865016001&doi=10.1093%2fimamat%2fhxs035&partnerID=40&md5=8c9c68e34cf9ce15cd86017be61f7554 | |
dc.subject | Surface active agents | en |
dc.subject | Surfactants | en |
dc.subject | Shear flow | en |
dc.subject | Reynolds number | en |
dc.subject | Numerical experiments | en |
dc.subject | Nonlocal | en |
dc.subject | Asymptotic analysis | en |
dc.subject | Flow dynamics | en |
dc.subject | Insoluble surfactants | en |
dc.subject | Linearly implicit method | en |
dc.subject | Local surfaces | en |
dc.subject | Marangoni instabilities | en |
dc.subject | Marangoni instability | en |
dc.subject | Non-linear phenomena | en |
dc.subject | Nonlinear evolutions | en |
dc.subject | Pseudo differential | en |
dc.subject | Spatiotemporal chaos | en |
dc.subject | Surfactant concentrations | en |
dc.subject | Travelling waves | en |
dc.subject | Two-fluid | en |
dc.subject | Two-phase flows | en |
dc.title | Surfactant destabilization and non-linear phenomena in two-fluid shear flows at small Reynolds numbers | en |
dc.type | info:eu-repo/semantics/article | |
dc.identifier.doi | 10.1093/imamat/hxs035 | |
dc.description.volume | 77 | |
dc.description.issue | 3 | |
dc.description.startingpage | 351 | |
dc.description.endingpage | 360 | |
dc.author.faculty | Σχολή Θετικών και Εφαρμοσμένων Επιστημών / Faculty of Pure and Applied Sciences | |
dc.author.department | Τμήμα Μαθηματικών και Στατιστικής / Department of Mathematics and Statistics | |
dc.type.uhtype | Article | en |
dc.description.notes | <p>Cited By :3</p> | en |
dc.source.abbreviation | IMA J.Appl.Math. | en |
dc.contributor.orcid | Kalogirou, Anna [0000-0002-4668-7747] | |
dc.contributor.orcid | Smyrlis, Yiorgos-Sokratis [0000-0001-9126-2441] | |
dc.gnosis.orcid | 0000-0002-4668-7747|0000-0001-9126-2441 | |