Periodic and Chaotic Orbits of Plane-Confined Micro-rotors in Creeping Flows

  title={Periodic and Chaotic Orbits of Plane-Confined Micro-rotors in Creeping Flows},
  author={Enkeleida Lushi and Petia M. Vlahovska},
  journal={Journal of Nonlinear Science},
We explore theoretically the complex dynamics and emergent behaviors of spinning spheres immersed in viscous fluid. The particles are coupled to each other via the fluid in which they are suspended: Each particle disturbs the surrounding fluid with a rotlet field and that fluid flow affects the motion of the other particles. We notice the emergence of intricate periodic or chaotic trajectories that depend on the rotors initial position and separation. The point-rotor motions confined to a plane… 

Dynamics of inert spheres in active suspensions of micro-rotors.

Numerically investigate the dynamical behavior and self-organization in a system consisting of passive and actively rotating spheres of the same size and finds that inert particles interact through direct collisions and the fluid flows generated as they move.

Chaotic mixing using micro-rotors in a confined domain

In this work we study chaotic mixing induced by point micro-rotors in a bounded two dimensional Stokes flow. The dynamics of the pair of rotors, modeled as rotlets, are non Hamiltonian in the bounded

Emergence of lanes and turbulent-like motion in active spinner fluid

Assemblies of self-rotating particles are gaining interest as a novel realization of active matter with unique collective behaviors such as edge currents and non-trivial dynamic states. Here, we

Chaotic advection and mixing by a pair of microrotors in a circular domain.

This work studies chaotic mixing induced by point microrotors in a bounded two-dimensional Stokes flow with velocity field of the flow modeled using rotlets inside a circular boundary smooth in time and satisfies the no-slip boundary condition.

Waves, Algebraic Growth, and Clumping in Sedimenting Disk Arrays

An array of spheres descending slowly through a viscous fluid always clumps [J.M. Crowley, J. Fluid Mech. {\bf 45}, 151 (1971)]. We show that anisotropic particle shape qualitatively transforms this

Brownian Dynamics of Active Sphere Suspensions Confined Near a No-Slip Boundary

We develop numerical methods for performing efficient Brownian dynamics of colloidal suspensions confined to remain in the vicinity of a no-slip wall by gravity or active flows. We present a

Bifurcation and chaos of a particle motion system with holonomic constraint

This paper investigates a holonomic constrained system of a particle moving on a horizontal smooth plane. The equilibrium points, bifurcations and chaotic attractors of the system are analyzed. It

Hydrodynamic interactions between a self-rotation rotator and passive particles

In this paper, we numerically investigate the hydrodynamic interaction between a self-rotation rotator and passive particles in a two-dimensional confined cavity at two typical Reynolds numbers

Colloidal particle electrorotation in a nonuniform electric field.

This model provides a basis to study the collective dynamics of many particles in a general electric field, and exhibits intricate trajectories, which are a combination of translation,Due to dielectrophoresis, and rotation, due to the Quincke effect.

Hydrodynamically bound states of a pair of microrollers: A dynamical system insight

Recent work has identified persistent cluster states which were shown to be assembled and held together by hydrodynamic interactions alone [Driscoll \textit{et al.} (2017) Nature Physics, 13(4),



Chaotic particle dynamics in viscous flows: the three-particle stokeslet problem

It is well known, that the dynamics of small particles moving in a viscous fluid is strongly influenced by the long-range hydrodynamical interaction between them. Motion at high viscosity is usually

Emergent collective dynamics of hydrodynamically coupled micro-rotors

We examine the collective dynamics of a monolayer of rotating particles immersed in viscous fluid. Each rotor is driven by a constant magnitude torque perpendicular to the monolayer. The rotors

Emergence of coherent structures and large-scale flows in motile suspensions

The emergence of coherent structures, large-scale flows and correlated dynamics in suspensions of motile particles such as swimming micro-organisms or artificial microswimmers is studied using direct particle simulations and it is found that the collective dynamics of Pushers result in giant number fluctuations, local alignment of swimmers and strongly mixing flows.

Dynamics and interactions of active rotors

We consider a simple model of an internally driven self-rotating object; a rotor, confined to two dimensions by a thin film of low-Reynolds-number fluid. We undertake a detailed study of the

Dynamic Self-Assembly of Spinning Particles

This paper presents a numerical study of the dynamic self-assembly of neutrally buoyant particles rotating in a viscous fluid. The particles experience simultaneously a magnetic torque that drives

Synchronization in a carpet of hydrodynamically coupled rotors with random intrinsic frequency

We investigate synchronization caused by long-range hydrodynamic interaction in a two-dimensional, substrated array of rotors with random intrinsic frequencies. The rotor mimics a flagellated


The passive advection of tracers in the field of three identical point vortices is considered as the hydrodynamical analogue of the restricted three-body problem. The chaotic motion is analysed by

Rheology and ordering transitions of non-Brownian suspensions in a confined shear flow: effects of external torques.

  • K. YeoM. Maxey
  • Engineering
    Physical review. E, Statistical, nonlinear, and soft matter physics
  • 2010
This work investigates the effect of an external torque, applied in the vorticity direction, to particles in a sheared non-Brownian suspension confined by rigid walls, and finds that the hexagonal structure of particle strings in the velocity gradient-vorticity plane is disturbed, leading to an increase in the shear viscosity.

Chaos and threshold for irreversibility in sheared suspensions

There is a concentration dependent threshold for the deformation or strain beyond which particles do not return to their starting configurations after one or more cycles, and the comparison with numerical simulations illuminates the connections between chaos, reversibility and predictability.