Next Article in Journal
Microfluidics as a Novel Tool for Biological and Toxicological Assays in Drug Discovery Processes: Focus on Microchip Electrophoresis
Previous Article in Journal
Analytical Modelling and Optimization of a Piezoelectric Cantilever Energy Harvester with In-Span Attachment
Previous Article in Special Issue
Investigation on Inertial Sorter Coupled with Magnetophoretic Effect for Nonmagnetic Microparticles
Open AccessFeature PaperArticle

Optimal Control of Colloidal Trajectories in Inertial Microfluidics Using the Saffman Effect

Institut für Theoretische Physik, Technische Universität Berlin, D-10623 Berlin, Germany
Authors to whom correspondence should be addressed.
Micromachines 2020, 11(6), 592;
Received: 27 May 2020 / Revised: 11 June 2020 / Accepted: 12 June 2020 / Published: 15 June 2020
(This article belongs to the Special Issue Inertial Microfluidics)
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. View Full-Text
Keywords: inertial microfluidics; optimal control; Saffman effect inertial microfluidics; optimal control; Saffman effect
Show Figures

Graphical abstract

MDPI and ACS Style

Rühle, F.; Schaaf, C.; Stark, H. Optimal Control of Colloidal Trajectories in Inertial Microfluidics Using the Saffman Effect. Micromachines 2020, 11, 592.

Show more citation formats Show less citations formats
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Article Access Map by Country/Region

Search more from Scilit
Back to TopTop