dc.contributor.author | Georgiou, Georgios C. | en |
dc.contributor.author | Crochet, M. J. | en |
dc.creator | Georgiou, Georgios C. | en |
dc.creator | Crochet, M. J. | en |
dc.date.accessioned | 2019-12-02T10:35:16Z | |
dc.date.available | 2019-12-02T10:35:16Z | |
dc.date.issued | 1994 | |
dc.identifier.uri | http://gnosis.library.ucy.ac.cy/handle/7/56857 | |
dc.description.abstract | We study the time-dependent compressible flow of a Newtonian fluid in slits using an arbitrary nonlinear slip law relating the shear stress to the velocity at the wall. This slip law exhibits a maximum and a minimum and so does the flow curve. According to one-dimensional stability analyses, the steady-state solutions are unstable if the slope of the flow curve is negative. The two-dimensional flow problem is solved using finite elements for the space discretization and a standard fully implicit scheme for the time discretization. When compressibility is taken into account and the volumetric flow rate at the inlet is in the unstable regime, we obtain self-sustained oscillations of the pressure drop and of the mass flow rate at the exit, similar to those observed with the stick-slip instability. The effects of compressibility and of the length of the slit on the amplitude and the frequency of the oscillations are also examined. © 1994, The Society of Rheology. All rights reserved. | en |
dc.source | Journal of Rheology | en |
dc.source.uri | https://www.scopus.com/inward/record.uri?eid=2-s2.0-0028441633&doi=10.1122%2f1.550479&partnerID=40&md5=2de5e42ebc349e499664e5b59fac9bd4 | |
dc.subject | Frequencies | en |
dc.subject | Finite element method | en |
dc.subject | Viscous flow | en |
dc.subject | Shear stress | en |
dc.subject | Rheology | en |
dc.subject | Newtonian liquids | en |
dc.subject | Oscillations | en |
dc.subject | Compressible flow | en |
dc.subject | Flow curve | en |
dc.subject | Pressure drop | en |
dc.subject | Space discretization | en |
dc.subject | Compressibility of liquids | en |
dc.subject | Compressible viscous flow | en |
dc.subject | Dimensional stability | en |
dc.subject | Mass flow rate | en |
dc.subject | Slit | en |
dc.subject | Two dimensional flow | en |
dc.subject | Volumetric flow | en |
dc.title | Compressible viscous flow in slits with slip at the wall | en |
dc.type | info:eu-repo/semantics/article | |
dc.identifier.doi | 10.1122/1.550479 | |
dc.description.volume | 38 | |
dc.description.issue | 3 | |
dc.description.startingpage | 639 | |
dc.description.endingpage | 654 | |
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.source.abbreviation | J.Rheol. | en |
dc.contributor.orcid | Georgiou, Georgios C. [0000-0002-7451-224X] | |
dc.gnosis.orcid | 0000-0002-7451-224X | |