TY - JOUR
T1 - Locomotion of magnetoelastic membranes in viscous fluids
AU - Brisbois, Chase Austyn
AU - De La Cruz, Monica Olvera
N1 - Funding Information:
We acknowledge Mykola Tasinkevych and Eleftherios Kyrkinis for helpful discussions. We thank the Sherman Fairchild Foundation for computational support. This research was supported by the Center for Bio-Inspired Energy Science, an Energy Frontier Research Center funded by the U.S. Department of Energy, Office of Science, Basic Energy Sciences under Award No. DE-SC0000989.
Publisher Copyright:
© 2022 authors. Published by the American Physical Society.
PY - 2022/6
Y1 - 2022/6
N2 - 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 ωc, respectively. For frequencies larger than ωc, 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.
AB - 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 ωc, respectively. For frequencies larger than ωc, 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.
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U2 - 10.1103/PhysRevResearch.4.023166
DO - 10.1103/PhysRevResearch.4.023166
M3 - Article
AN - SCOPUS:85132047432
SN - 2643-1564
VL - 4
JO - Physical Review Research
JF - Physical Review Research
IS - 2
M1 - 023166
ER -