Rotation of an axisymmetric particle in a plane flow | Zendy

Renner Barbara | Zendy; Altenbach Holm | Zendy; Naumenko Konstantin | Zendy

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Rotation of an axisymmetric particle in a plane flow

Author(s) -

Renner Barbara,

Altenbach Holm,

Naumenko Konstantin

Publication year - 2011

Publication title -

pamm

Language(s) - English

Resource type - Journals

ISSN - 1617-7061

DOI - 10.1002/pamm.201110158

Subject(s) - physics , classical mechanics , mechanics , rotational symmetry , rotation (mathematics) , particle (ecology) , inertia , angular momentum , newtonian fluid , flow (mathematics) , moment of inertia , shear flow , plane symmetry , plane (geometry) , symmetry (geometry) , geometry , mathematics , oceanography , geology

The rotation of an inertialess ellipsoidal particle in a shear flow of a Newtonian fluid has been firstly analyzed by Jeffery [1]. He found that the particle rotates such that the end of its symmetry axis describes a closed periodic orbit. Based on the balance equation of the angular momentum we derived the equation of rotational motion of a cylindrical particle, that is suspended in a plane shear flow field of a viscous fluid, and solved numerically. The rotary inertia is taken into account. The solution is compared with the rotation of a slender particle. (© 2011 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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