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dc.contributor.authorPhilippou, Mariaen
dc.contributor.authorDamianou, Y.en
dc.contributor.authorMiscouridou, X.en
dc.contributor.authorGeorgiou, Georgios C.en
dc.creatorPhilippou, Mariaen
dc.creatorDamianou, Y.en
dc.creatorMiscouridou, X.en
dc.creatorGeorgiou, Georgios C.en
dc.description.abstractWe solve analytically the cessation flows of a Newtonian fluid in circular and plane Couette geometries assuming that wall slip occurs provided that the wall shear stress exceeds a critical threshold, the slip yield stress. In steady-state, slip occurs only beyond a critical value of the angular velocity of the rotating inner cylinder in circular Couette flow or of the speed of the moving upper plate in plane Couette flow. Hence, in cessation, the classical no-slip solution holds if the corresponding wall speed is below the critical value. Otherwise, slip occurs only initially along both walls. Beyond a first critical time, slip along the fixed wall ceases, and beyond a second critical time slip ceases also along the initially moving wall. Beyond this second critical time no slip is observed and the decay of the velocity is faster. The velocity decays exponentially in all regimes and the decay is reduced with slip. The effects of slip and the slip yield stress are discussed. © 2016, Springer Science+Business Media Dordrecht.en
dc.subjectShear flowen
dc.subjectShear stressen
dc.subjectYield stressen
dc.subjectNewtonian liquidsen
dc.subjectCircular Couette flowen
dc.subjectSlip yield stressen
dc.subjectCessation flowen
dc.subjectNewtonian fluidsen
dc.subjectNewtonian Fluiden
dc.subjectPlane Couette flowen
dc.titleCessation of Newtonian circular and plane Couette flows with wall slip and non-zero slip yield stressen
dc.description.endingpage2099Σχολή Θετικών και Εφαρμοσμένων Επιστημών / Faculty of Pure and Applied SciencesΤμήμα Μαθηματικών και Στατιστικής / Department of Mathematics and Statistics
dc.contributor.orcidGeorgiou, Georgios C. [0000-0002-7451-224X]

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