Locomotion of magnetoelastic membranes in viscous fluids

The development of multifunctional and biocompatible microrobots for biomedical applications relies on achieving controllable locomotion. Here we describe the conditions that allow homogeneous magnetoelastic membranes composed of superparamagnetic particles to swim through viscous fluids. By solving...

Full description

Bibliographic Details
Main Authors: Chase Austyn Brisbois, Monica Olvera de la Cruz
Format: Article
Language:English
Published: American Physical Society 2022-05-01
Series:Physical Review Research
Online Access:http://doi.org/10.1103/PhysRevResearch.4.023166
_version_ 1797210742279110656
author Chase Austyn Brisbois
Monica Olvera de la Cruz
author_facet Chase Austyn Brisbois
Monica Olvera de la Cruz
author_sort Chase Austyn Brisbois
collection DOAJ
description The development of multifunctional and biocompatible microrobots for biomedical applications relies on achieving controllable locomotion. Here we describe the conditions that allow homogeneous magnetoelastic membranes composed of superparamagnetic particles to swim through viscous fluids. By solving the equations of motion, we find the dynamical modes of circular membranes in precessing magnetic fields, which are found to actuate in or out of synchronization with a magnetic field precessing above or below a critical precession frequency ω_{c}, respectively. For frequencies larger than ω_{c}, synchronized transverse waves propagate on the membrane along the rotational (perimeter) and radial directions. Using the lattice Boltzmann approach, we show how these waves give rise to locomotion in an incompressible fluid at low Reynolds numbers. Nonreciprocal motion resulting in swimming is achieved by breaking the morphological symmetry of the membrane, attained via truncation of a circular segment. The membrane translation can be adapted to a predetermined path by programming the external magnetic field. Our results lay the foundation for achieving directed motion in thin, homogeneous magnetoelastic membranes with a diverse array of geometries.
first_indexed 2024-04-24T10:15:26Z
format Article
id doaj.art-a13bc2d3193448f08ac6d5a942624682
institution Directory Open Access Journal
issn 2643-1564
language English
last_indexed 2024-04-24T10:15:26Z
publishDate 2022-05-01
publisher American Physical Society
record_format Article
series Physical Review Research
spelling doaj.art-a13bc2d3193448f08ac6d5a9426246822024-04-12T17:21:25ZengAmerican Physical SocietyPhysical Review Research2643-15642022-05-014202316610.1103/PhysRevResearch.4.023166Locomotion of magnetoelastic membranes in viscous fluidsChase Austyn BrisboisMonica Olvera de la CruzThe development of multifunctional and biocompatible microrobots for biomedical applications relies on achieving controllable locomotion. Here we describe the conditions that allow homogeneous magnetoelastic membranes composed of superparamagnetic particles to swim through viscous fluids. By solving the equations of motion, we find the dynamical modes of circular membranes in precessing magnetic fields, which are found to actuate in or out of synchronization with a magnetic field precessing above or below a critical precession frequency ω_{c}, respectively. For frequencies larger than ω_{c}, synchronized transverse waves propagate on the membrane along the rotational (perimeter) and radial directions. Using the lattice Boltzmann approach, we show how these waves give rise to locomotion in an incompressible fluid at low Reynolds numbers. Nonreciprocal motion resulting in swimming is achieved by breaking the morphological symmetry of the membrane, attained via truncation of a circular segment. The membrane translation can be adapted to a predetermined path by programming the external magnetic field. Our results lay the foundation for achieving directed motion in thin, homogeneous magnetoelastic membranes with a diverse array of geometries.http://doi.org/10.1103/PhysRevResearch.4.023166
spellingShingle Chase Austyn Brisbois
Monica Olvera de la Cruz
Locomotion of magnetoelastic membranes in viscous fluids
Physical Review Research
title Locomotion of magnetoelastic membranes in viscous fluids
title_full Locomotion of magnetoelastic membranes in viscous fluids
title_fullStr Locomotion of magnetoelastic membranes in viscous fluids
title_full_unstemmed Locomotion of magnetoelastic membranes in viscous fluids
title_short Locomotion of magnetoelastic membranes in viscous fluids
title_sort locomotion of magnetoelastic membranes in viscous fluids
url http://doi.org/10.1103/PhysRevResearch.4.023166
work_keys_str_mv AT chaseaustynbrisbois locomotionofmagnetoelasticmembranesinviscousfluids
AT monicaolveradelacruz locomotionofmagnetoelasticmembranesinviscousfluids