The motion of a small spherical particle of finite size in an axisymmetric thermocapillary liquid bridge is investigated numerically and experimentally. Due to the crowding of streamlines towards the free surface and the recirculating nature of the flow, advected particles visit the free surface repeatedly. The balance between centrifugal inertia and the strong short-range repulsive forces a particle experiences near the free surface leads to an attracting limit cycle for the particle motion. The existence of this limit cycle is established experimentally. It is shown that limit cycles obtained numerically by one-way-coupled simulations based on the Maxey–Riley equation and a particle–surface interaction model compare favorably with the experimental results if the thickness of the lubrication gap between the free surface and the surface of the particle is properly taken into account.
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September 2017
Research Article|
September 22 2017
Limit cycles for the motion of finite-size particles in axisymmetric thermocapillary flows in liquid bridges
Francesco Romanò
;
Francesco Romanò
a)
1
Institute of Fluid Mechanics and Heat Transfer, TU Wien
, Getreidemarkt 9, 1060 Vienna, Austria
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Hendrik C. Kuhlmann
;
Hendrik C. Kuhlmann
1
Institute of Fluid Mechanics and Heat Transfer, TU Wien
, Getreidemarkt 9, 1060 Vienna, Austria
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Misa Ishimura;
Misa Ishimura
2
Department of Mechanical Engineering, Tokyo University of Science
, 2641 Yamazaki, Noda-shi, Chiba-ken 278-8510, Japan
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Ichiro Ueno
Ichiro Ueno
2
Department of Mechanical Engineering, Tokyo University of Science
, 2641 Yamazaki, Noda-shi, Chiba-ken 278-8510, Japan
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Physics of Fluids 29, 093303 (2017)
Article history
Received:
May 11 2017
Accepted:
August 29 2017
Citation
Francesco Romanò, Hendrik C. Kuhlmann, Misa Ishimura, Ichiro Ueno; Limit cycles for the motion of finite-size particles in axisymmetric thermocapillary flows in liquid bridges. Physics of Fluids 1 September 2017; 29 (9): 093303. https://doi.org/10.1063/1.5002135
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