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dc.contributor.authorHousiadas, Kostas D.en
dc.contributor.authorGeorgiou, Georgios C.en
dc.contributor.authorTanner, R. I.en
dc.creatorHousiadas, Kostas D.en
dc.creatorGeorgiou, Georgios C.en
dc.creatorTanner, R. I.en
dc.description.abstractWe 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.sourceInternational Journal of Engineering Scienceen
dc.subjectPerturbation techniquesen
dc.subjectShear flowen
dc.subjectNewtonian liquidsen
dc.subjectIncompressible flowen
dc.subjectCreeping flowen
dc.subjectPerturbation methoden
dc.subjectPressure dependent viscosityen
dc.subjectCreeping flowsen
dc.subjectRigid sphereen
dc.subjectShear viscosityen
dc.titleA note on the unbounded creeping flow past a sphere for Newtonian fluids with pressure-dependent viscosityen
dc.description.endingpage9Σχολή Θετικών και Εφαρμοσμένων Επιστημών / Faculty of Pure and Applied SciencesΤμήμα Μαθηματικών και Στατιστικής / Department of Mathematics and Statistics
dc.description.notes<p>Cited By :5</p>en
dc.contributor.orcidHousiadas, Kostas D. [0000-0002-6308-2811]
dc.contributor.orcidGeorgiou, Georgios C. [0000-0002-7451-224X]

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