# Inertial migration and axial control of deformable capsules.

@article{Schaaf2017InertialMA,
title={Inertial migration and axial control of deformable capsules.},
author={Christian Schaaf and Holger Stark},
journal={Soft matter},
year={2017},
volume={13 19},
pages={
3544-3555
}
}
• Published 15 February 2017
• Biology
• Soft matter
The mechanical deformability of single cells is an important indicator for various diseases such as cancer, blood diseases and inflammation. Lab-on-a-chip devices allow to separate such cells from healthy cells using hydrodynamic forces. We perform hydrodynamic simulations based on the lattice-Boltzmann method and study the behavior of an elastic capsule in a microfluidic channel flow in the inertial regime. While inertial lift forces drive the capsule away from the channel center, its…
30 Citations

## Figures from this paper

### Equilibrium transport velocity of deformable cells and rigid spheres in micro-channels under laminar flow conditions

• Materials Science, Biology
• 2019
Evidence is provided that the parameter cell deformability can be extracted from the equilibrium velocity based on spatially modulated emission, which opens up an alternative way for high-throughput cell-deformability characterization.

### A flowing pair of particles in inertial microfluidics.

• Physics
Soft matter
• 2019
This work studies the dynamics of a pair of solid particles flowing through a rectangular microchannel using lattice Boltzmann simulations and determines the inertial lift force profiles as a function of the two particle positions, their axial distance, and the Reynolds number.

### Inertial and non-inertial focusing of a deformable capsule in a curved microchannel

• Physics
Journal of Fluid Mechanics
• 2021
Abstract A computational study is presented on cross-stream migration and focusing of deformable capsules in curved microchannels of square and rectangular sections under inertial and non-inertial

### A pair of particles in inertial microfluidics: effect of shape, softness, and position.

• Physics
Soft matter
• 2021
This work performs three-dimensional lattice Boltzmann simulations combined with the immersed boundary method to unravel the dynamics of various mono- and bi-dispersed pairs in inertial microfluidics, and shows that stable pairs become unstable when increasing the particle stiffness.

### Suspension of deformable particles in Newtonian and viscoelastic fluids in a microchannel

• Engineering, Biology
Microfluidics and Nanofluidics
• 2019
The results suggest that the use of constant-viscosity viscoelastic fluid pushes the cells toward the channel centerline which can be used in microfluidic devices used for cell focusing such as cytometers.

### Dynamics of a capsule flowing in a tube under pulsatile flow.

• Engineering, Biology
Journal of the mechanical behavior of biomedical materials
• 2019

### Inertial migration of red blood cells under a Newtonian fluid in a circular channel

• Engineering
Journal of Fluid Mechanics
• 2022
Abstract We present a numerical analysis of the lateral movement and equilibrium radial positions of red blood cells (RBCs) with major diameter 8 $\mathrm {\mu }$m under a Newtonian fluid in a

### Inertial migration of a deformable particle in pipe flow

• Physics
Physical Review Fluids
• 2019
We perform fully Eulerian numerical simulations of an initially spherical hyperelastic particle suspended in a Newtonian pressure-driven flow in a cylindrical straight pipe. We study the full

### Lab on a Chip Computational inertial microfluidics: a review †

• Physics
• 2020
Since the discovery of inertial focusing in 1961, numerous theories have been put forward to explain the migration of particles in inertial flows, but a complete understanding is still lacking.

### Computational inertial microfluidics: a review.

• Physics
Lab on a chip
• 2020
This review provides a blueprint for the consideration of numerical solutions for modeling of inertial particle motion, whether deformable or rigid, spherical or non-spherical, and whether suspended in Newtonian ornon-Newtonian fluids.

## References

SHOWING 1-10 OF 58 REFERENCES

### Feedback control of inertial microfluidics using axial control forces.

• Physics
Lab on a chip
• 2014
This work determined the equilibrium positions in square and rectangular cross sections and classify their types of stability for different Reynolds numbers, particle sizes, and channel aspect ratios and demonstrated how an axial control force slows down the particles and shifts the stable equilibrium position towards the channel center.

### Interplay of inertia and deformability on rheological properties of a suspension of capsules

• Physics
Journal of Fluid Mechanics
• 2014
Abstract The interplay of inertia and deformability has a substantial impact on the transport of soft particles suspended in a fluid. However, to date a thorough understanding of these systems is

### Motion of a spherical capsule in branched tube flow with finite inertia

• Engineering
Journal of Fluid Mechanics
• 2016
We computationally study the transient motion of an initially spherical capsule flowing through a right-angled tube bifurcation, composed of tubes having the same diameter. The capsule motion and

### Inertial migration of deformable capsules in channel flow

• Engineering
• 2011
Using three-dimensional computer simulations, we study the cross-stream inertial migration of neutrally buoyant deformable particles in a pressure-driven channel flow. The particles are modeled as

### Dynamic self-assembly and control of microfluidic particle crystals

• Engineering
Proceedings of the National Academy of Sciences
• 2010
Focusing on the dynamics of the particle–particle interactions reveals a mechanism for the dynamic self-assembly process; inertial lift forces and a parabolic flow field act together to stabilize interparticle spacings that otherwise would diverge to infinity due to viscous disturbance flows.

### Optimal control of particle separation in inertial microfluidics

• Engineering, Physics
The European physical journal. E, Soft matter
• 2013
This article uses a theoretical study to demonstrate how concepts from optimal control theory help to design optimized profiles of control forces that allow to steer particles to almost any position at the outlet of a microfluidic channel.

### Controlling inertial focussing using rotational motion

• Physics
The European physical journal. E, Soft matter
• 2014
This work controls the rotational motion of a particle and demonstrates that this allows to manipulate the lift-force profile and thereby the particle's equilibrium positions, and performs two-dimensional simulation studies using the method of multi-particle collision dynamics.

### Inertial migration of an elastic capsule in a Poiseuille flow.

• Biology
Physical review. E, Statistical, nonlinear, and soft matter physics
• 2011
The inertial migration of a two-dimensional elastic capsule in a Poiseuille flow was studied over the Reynolds number range 1 ≤ Re ≤ 100 and the equilibrium position was not affected by such variation.

### Inertia- and deformation-driven migration of a soft particle in confined shear and Poiseuille flow

The cross-stream migration of dilute soft particle suspensions under simple shear flow and Poiseuille flow between two parallel plates is investigated with the lattice Boltzmann-immersed boundary