Stokesian motion of a spherical particle near a right corner made by tangentially moving walls
Article dans une revue avec comité de lecture
Date
2021-09Journal
Journal of Fluid MechanicsAbstract
The slow motion of a small buoyant sphere near a right dihedral corner made by tangentially sliding walls is investigated. Under creeping-flow conditions the force and torque on the sphere can be decomposed into eleven elementary types of motion involving simple particle translations, particle rotations and wall movements. Force and torque balances are employed to find the velocity and rotation of the particle as functions of its location. Depending on the ratio of the wall velocities and the gravitational settling velocity of the sphere, different dynamical regimes are identified. In particular, a non-trivial line attractor/repeller for the particle motion exists at a location detached from both the walls. The existence, location and stability of the corresponding two-dimensional fixed point are studied depending on the wall velocities and the buoyancy force. The impact of the line attractors/repellers on the motion of small particles in cavities and its relevance for corner cleaning applications are discussed.
Files in this item
- Name:
- LMFL_JFM_2021c_ROMANO.pdf
- Size:
- 3.472Mb
- Format:
- Description:
- LMFL_JFM_2021c_ROMANO
Related items
Showing items related by title, author, creator and subject.
-
Article dans une revue avec comité de lectureBARMAK, Ilya; ROMANO, Francesco; KANNAN, Parvathy Kunchi; KUHLMANN, Hendrik C. (Springer Science and Business Media LLC, 2021-02)Clustering of small rigid spherical particles into particle accumulation structures (PAS) is studied numerically for a high-Prandtl-number (Pr = 68) thermocapillary liquid bridge. The one-way-coupling approach is used for ...
-
Article dans une revue avec comité de lectureThe transport of liquid and of small rigid spherical particles in a high-Prandtl-number (Pr = 68) thermocapillary liquid bridge under zero gravity is studied by highly resolved numerical simulations when the flow arises ...
-
Article dans une revue avec comité de lectureMaranStable is a software to perform three-dimensional linear stability analyses of steady two-dimensional non-isothermal multiphase flows in canonical geometries. Different approximations to the Navier–Stokes equations ...
-
Article dans une revue avec comité de lectureThe 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 ...
-
Article dans une revue avec comité de lectureThe 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 ...