English

Inertial Migration in Micro-Centrifuge Devices

Fluid Dynamics 2023-03-14 v1

Abstract

Within microcentrifuge devices, a microfluidic vortex separates larger particles from a heterogeneous suspension using inertial migration, a phenomenon that causes particles to migrate across streamlines. The ability to selectively capture particles based on size differences of a few microns makes microcentrifuges useful diagnostic tools for trapping rare cells within blood samples. However, rational design of microcentrifuges has been held back from its full potential by a lack of quantitative modeling of particle capture mechanics. Here we use an asymptotic method, in which particles are accurately modeled as singularities in a linearized flow field, to rapidly calculate particle trajectories within microcentrifuges. Our predictions for trapping thresholds and trajectories agree well with published experimental data. Our results clarify how capture reflects a balance between advection of particles within a background flow and their inertial focusing and shows why the close proximity of trapped and untrapped incoming streamlines makes it challenging to design microcentrifuges with sharp trapping thresholds.

Keywords

Cite

@article{arxiv.2303.06760,
  title  = {Inertial Migration in Micro-Centrifuge Devices},
  author = {Samuel Christensen and Marcus Roper},
  journal= {arXiv preprint arXiv:2303.06760},
  year   = {2023}
}
R2 v1 2026-06-28T09:13:09.176Z