dc.contributor.author Housiadas, Kostas D. en dc.contributor.author Georgiou, Georgios C. en dc.contributor.author Tanner, R. I. en dc.creator Housiadas, Kostas D. en dc.creator Georgiou, Georgios C. en dc.creator Tanner, R. I. en dc.date.accessioned 2019-12-02T10:35:23Z dc.date.available 2019-12-02T10:35:23Z dc.date.issued 2015 dc.identifier.uri http://gnosis.library.ucy.ac.cy/handle/7/56888 dc.description.abstract We investigate theoretically isothermal, incompressible, creeping Newtonian flows past a sphere, under the assumption that the shear viscosity is pressure-dependent, varying either linearly or exponentially with pressure. In particular, we consider the three-dimensional flow past a freely rotating neutrally buoyant sphere subject to shear at infinity and the axisymmetric flow past a sedimenting sphere. The method of solution is a regular perturbation scheme with the small parameter being the dimensionless coefficient which appears in the expressions for the shear viscosity. Asymptotic solutions for the pressure and the velocity field are found only for the simple shear case, while no analytical solutions could be found for the sedimentation problem. For the former flow, calculation of the streamlines around the sphere reveals that the fore-and-aft symmetry of the streamlines which is observed in the constant viscosity case breaks down. Even more importantly, the region of the closed streamlines around the sphere is absent. Last, it is revealed that the angular velocity of the sphere is not affected by the dependence of the viscosity on the pressure. © 2014 Elsevier Ltd. en dc.source International Journal of Engineering Science en dc.source.uri https://www.scopus.com/inward/record.uri?eid=2-s2.0-84908410661&doi=10.1016%2fj.ijengsci.2014.09.004&partnerID=40&md5=d74e9b5734b1354679778ec802b0f531 dc.subject Perturbation techniques en dc.subject Shear flow en dc.subject Velocity en dc.subject Newtonian liquids en dc.subject Incompressible flow en dc.subject Spheres en dc.subject Creeping flow en dc.subject Perturbation method en dc.subject Pressure dependent viscosity en dc.subject Creeping flows en dc.subject Rigid sphere en dc.subject Shear viscosity en dc.subject Streamlines en dc.title A note on the unbounded creeping flow past a sphere for Newtonian fluids with pressure-dependent viscosity en dc.type info:eu-repo/semantics/article dc.identifier.doi 10.1016/j.ijengsci.2014.09.004 dc.description.volume 86 dc.description.startingpage 1 dc.description.endingpage 9 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

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en dc.source.abbreviation Int.J.Eng.Sci. en dc.contributor.orcid Housiadas, Kostas D. [0000-0002-6308-2811] dc.contributor.orcid Georgiou, Georgios C. [0000-0002-7451-224X] dc.gnosis.orcid 0000-0002-6308-2811 dc.gnosis.orcid 0000-0002-7451-224X
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