dc.contributor.author | Kalogirou, Anna | en |
dc.contributor.author | Poyiadji, Stella | en |
dc.contributor.author | Georgiou, Georgios C. | en |
dc.creator | Kalogirou, Anna | en |
dc.creator | Poyiadji, Stella | en |
dc.creator | Georgiou, Georgios C. | en |
dc.date.accessioned | 2019-12-02T10:35:52Z | |
dc.date.available | 2019-12-02T10:35:52Z | |
dc.date.issued | 2011 | |
dc.identifier.uri | http://gnosis.library.ucy.ac.cy/handle/7/57004 | |
dc.description.abstract | The pressure-dependence of the viscosity becomes important in flows where high pressures are encountered. Applications include many polymer processing applications, microfluidics, fluid film lubrication, as well as simulations of geophysical flows. Under the assumption of unidirectional flow, we derive analytical solutions for plane, round, and annular Poiseuille flow of a Newtonian liquid, the viscosity of which increases linearly with pressure. These flows may serve as prototypes in applications involving tubes with small radius-to-length ratios. It is demonstrated that, the velocity tends from a parabolic to a triangular profile as the viscosity coefficient is increased. The pressure gradient near the exit is the same as that of the classical fully developed flow. This increases exponentially upstream and thus the pressure required to drive the flow increases dramatically. © 2011 Elsevier B.V. | en |
dc.source | Journal of Non-Newtonian Fluid Mechanics | en |
dc.source.uri | https://www.scopus.com/inward/record.uri?eid=2-s2.0-79952469923&doi=10.1016%2fj.jnnfm.2011.01.006&partnerID=40&md5=d6c96939e9bf002b963c390458131af0 | |
dc.subject | Viscosity | en |
dc.subject | Analytical solutions | en |
dc.subject | Poiseuille flow | en |
dc.subject | Newtonian flow | en |
dc.subject | Annular Poiseuille flow | en |
dc.subject | Pressure-dependent viscosity | en |
dc.subject | Fluid-film lubrication | en |
dc.subject | Geophysical flows | en |
dc.subject | High pressure | en |
dc.subject | Polymer processing | en |
dc.subject | Pressure dependence | en |
dc.subject | Radius-to-length ratio | en |
dc.subject | Triangular profiles | en |
dc.subject | Unidirectional flow | en |
dc.subject | Viscosity coefficient | en |
dc.title | Incompressible Poiseuille flows of Newtonian liquids with a pressure-dependent viscosity | en |
dc.type | info:eu-repo/semantics/article | |
dc.identifier.doi | 10.1016/j.jnnfm.2011.01.006 | |
dc.description.volume | 166 | |
dc.description.issue | 7-8 | |
dc.description.startingpage | 413 | |
dc.description.endingpage | 419 | |
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 :19</p> | en |
dc.source.abbreviation | J.Non-Newton.Fluid Mech. | en |
dc.contributor.orcid | Kalogirou, Anna [0000-0002-4668-7747] | |
dc.contributor.orcid | Georgiou, Georgios C. [0000-0002-7451-224X] | |
dc.gnosis.orcid | 0000-0002-4668-7747 | |
dc.gnosis.orcid | 0000-0002-7451-224X | |