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Main Title: Optimal Control of Colloidal Trajectories in Inertial Microfluidics Using the Saffman Effect
Author(s): Rühle, Felix
Schaaf, Christian
Stark, Holger
Type: Article
Language Code: en
Abstract: In inertial microfluidics colloidal particles in a Poiseuille flow experience the Segré-Silberberg lift force, which drives them to specific positions in the channel cross section. An external force applied along the microchannel induces a cross-streamline migration to a new equilibrium position because of the Saffman effect. We apply optimal control theory to design the time protocol of the axial control force in order to steer a single particle as precisely as possible from a channel inlet to an outlet at a chosen target position. We discuss the influence of particle radius and channel length and show that optimal steering is cheaper than using a constant control force. Using a single optimized control-force protocol, we demonstrate that even a pulse of particles spread along the channel axis can be steered to a target and that particles of different radii can be separarted most efficiently.
Issue Date: 15-Jun-2020
Date Available: 19-Nov-2020
DDC Class: 530 Physik
Subject(s): inertial microfluidics
optimal control
Saffman effect
Sponsor/Funder: TU Berlin, Open-Access-Mittel – 2020
DFG, 237143019, SPP 1726: Mikroschwimmer - Von Einzelpartikelbewegung zu kollektivem Verhalten
DFG, 163436311, SFB 910: Kontrolle selbstorganisierender nichtlinearer Systeme: Theoretische Methoden und Anwendungskonzepte
Journal Title: Micromachines
Publisher: MDPI
Publisher Place: Basel
Volume: 11
Issue: 6
Article Number: 592
Publisher DOI: 10.3390/mi11060592
EISSN: 2072-666X
Appears in Collections:FG Statistische Physik weicher Materie und biologischer Systeme » Publications

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