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Chaotic rotation of a spheroidal particle in simple shear flow
KTH, School of Engineering Sciences (SCI), Mechanics. KTH, School of Engineering Sciences (SCI), Centres, Linné Flow Center, FLOW. KTH, School of Chemical Science and Engineering (CHE), Centres, Wallenberg Wood Science Center.ORCID iD: 0000-0002-2346-7063
2017 (English)In: Chaos, ISSN 1054-1500, E-ISSN 1089-7682, Vol. 27, no 6, 063112Article in journal (Refereed) Published
Abstract [en]

The angular motion of a neutrally buoyant prolate spheroidal particle in simple shear flow has previously been found to follow two-dimensional dynamics similar to a Duffing-van der Pol oscillator as a consequence of inertia of the surrounding fluid. This behavior was however only present if the aspect ratio is large enough. When decreasing the particle aspect ratio, the particle could be found to perform period-doubled or chaotic orbits as effects of particle inertia also influence the dynamics. In this work, it is demonstrated that the onset of complex dynamics is through a Shilnikov bifurcation as the log-rolling state (particle is rotating around its symmetry axis, which is parallel to the vorticity direction) is transformed from a regular saddle node into a saddle focus when particle inertia is increased. Furthermore, it is shown that the same also applies for the two dimensional Duffing-van der Pol oscillator when including inertial terms. These results open up the possibility of developing a reduced model to mimic the influence of both fluid and particle inertia on the angular dynamics of spheroidal particles in simple shear flow, which can be used in fluid simulations with Lagrangian particles.

Place, publisher, year, edition, pages
American Institute of Physics (AIP), 2017. Vol. 27, no 6, 063112
National Category
Fluid Mechanics and Acoustics
Identifiers
URN: urn:nbn:se:kth:diva-210600DOI: 10.1063/1.4985640Scopus ID: 2-s2.0-85020908893OAI: oai:DiVA.org:kth-210600DiVA: diva2:1118942
Note

QC 20170703

Available from: 2017-07-03 Created: 2017-07-03 Last updated: 2017-07-03Bibliographically approved

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