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

In this work we study chaotic mixing induced by point microrotors in a bounded two-dimensional Stokes flow. The dynamics of the pair of rotors, modeled as rotlets, are non-Hamiltonian in the bounded domain and produce chaotic advection of fluid tracers in subsets of the domain. A complete parametric investigation of the fluid mixing as a function of the initial locations of the rotlets is performed based on pseudophase portraits. The mixing of fluid tracers as a function of relative positions of microrotors is studied using finite-time entropy and locational entropy. The finite-time locational entropy is used to identify regions of the fluid that produce good versus poor mixing, and this is visualized by the stretching and folding of blobs of tracer particles. Unlike the case of the classic blinking vortex dynamics, the velocity field of the flow modeled using rotlets inside a circular boundary is smooth in time and satisfies the no-slip boundary condition. This makes the considered model a more realistic case for studies of mixing in microfluidic devices using magnetic-actuated microspheres.