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The DSpace digital repository system captures, stores, indexes, preserves, and distributes digital research material.Sun, 16 Jun 2024 22:06:07 GMT2024-06-16T22:06:07ZAttractors for the motion of a finite-size particle in a cuboidal lid-driven cavity
http://hdl.handle.net/10985/24322
Attractors for the motion of a finite-size particle in a cuboidal lid-driven cavity
WU, Haotian; ROMANO, Francesco; KUHLMANN, Hendrik C.
The motion of a finite-size particle in the cuboidal lid-driven cavity flow is investigated experimentally for Reynolds numbers 100 and 200 for which the flow is steady. These steady three-dimensional flows exhibit chaotic and regular streamlines, where the latter are confined to Kolmogorov–Arnold–Moser (KAM) tori. The interaction between the moving wall and the particle creates global particle attractors. For neutrally buoyant particles, these attractors are periodic or quasi-periodic, strongly attracting and located in or near KAM tori of the flow. As the density mismatch between particle and fluid increases, buoyancy and inertia become important, and the attractors evolve from those for neutrally buoyant particles, changing their shape, position and attraction rates.
Sun, 01 Jan 2023 00:00:00 GMThttp://hdl.handle.net/10985/243222023-01-01T00:00:00ZWU, HaotianROMANO, FrancescoKUHLMANN, Hendrik C.The motion of a finite-size particle in the cuboidal lid-driven cavity flow is investigated experimentally for Reynolds numbers 100 and 200 for which the flow is steady. These steady three-dimensional flows exhibit chaotic and regular streamlines, where the latter are confined to Kolmogorov–Arnold–Moser (KAM) tori. The interaction between the moving wall and the particle creates global particle attractors. For neutrally buoyant particles, these attractors are periodic or quasi-periodic, strongly attracting and located in or near KAM tori of the flow. As the density mismatch between particle and fluid increases, buoyancy and inertia become important, and the attractors evolve from those for neutrally buoyant particles, changing their shape, position and attraction rates.Attractors for the motion of a finite-size particle in a two-sided lid-driven cavity
http://hdl.handle.net/10985/24487
Attractors for the motion of a finite-size particle in a two-sided lid-driven cavity
WU, Haotian; ROMANO, Francesco; KUHLMANN, Hendrik C.
The motion of a single spherical particle in a two-sided lid-driven cavity is investigated experimentally. The flow in which the particle moves is created by two facing cavity sidewalls which move with equal velocity in opposite directions. For a long cavity with width-to-height cross-sectional aspect ratio Γ=W/H=1.6 the flow field at Reynolds number Re=400 consists of steady spatially periodic three-dimensional convection cells. Nearly neutrally buoyant particles with radius in units of H ranging from 1.1×10−2 to 7.1×10−2 are found to be attracted to periodic or quasi-periodic orbits in close vicinity of Kolmogorov–Arnold–Moser (KAM) tori of the unperturbed flow. Like the KAM tori the attractors of neutrally buoyant particles arise in mirror-symmetric pairs within each convection cell. The particle attractors are created by a dissipative effect in the dynamical system describing the particle motion which arises when the finite-size particle closely passes the moving walls. When the particle density deviates from that of the fluid, inertial attractors arise whose symmetry is broken by buoyancy, and other periodic attractors are created which do not have KAM tori as counterparts.
Sun, 01 Nov 2020 00:00:00 GMThttp://hdl.handle.net/10985/244872020-11-01T00:00:00ZWU, HaotianROMANO, FrancescoKUHLMANN, Hendrik C.The motion of a single spherical particle in a two-sided lid-driven cavity is investigated experimentally. The flow in which the particle moves is created by two facing cavity sidewalls which move with equal velocity in opposite directions. For a long cavity with width-to-height cross-sectional aspect ratio Γ=W/H=1.6 the flow field at Reynolds number Re=400 consists of steady spatially periodic three-dimensional convection cells. Nearly neutrally buoyant particles with radius in units of H ranging from 1.1×10−2 to 7.1×10−2 are found to be attracted to periodic or quasi-periodic orbits in close vicinity of Kolmogorov–Arnold–Moser (KAM) tori of the unperturbed flow. Like the KAM tori the attractors of neutrally buoyant particles arise in mirror-symmetric pairs within each convection cell. The particle attractors are created by a dissipative effect in the dynamical system describing the particle motion which arises when the finite-size particle closely passes the moving walls. When the particle density deviates from that of the fluid, inertial attractors arise whose symmetry is broken by buoyancy, and other periodic attractors are created which do not have KAM tori as counterparts.