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Published August 24, 2021 | Published
Journal Article Open

Inertial and viscous flywheel sensing of nanoparticles

Abstract

Rotational dynamics often challenge physical intuition while enabling unique realizations, from the rotor of a gyroscope that maintains its orientation regardless of the outer gimbals, to a tennis racket that rotates around its handle when tossed face-up in the air. In the context of inertial sensing, which can measure mass with atomic precision, rotational dynamics are normally considered a complication hindering measurement interpretation. Here, we exploit the rotational dynamics of a microfluidic device to develop a modality in inertial sensing. Combining theory with experiments, we show that this modality measures the volume of a rigid particle while normally being insensitive to its density. Paradoxically, particle density only emerges when fluid viscosity becomes dominant over inertia. We explain this paradox via a viscosity-driven, hydrodynamic coupling between the fluid and the particle that activates the rotational inertia of the particle, converting it into a 'viscous flywheel'. This modality now enables the simultaneous measurement of particle volume and mass in fluid, using a single, high-throughput measurement.

Copyright and License

© The Author(s) 2021. This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons license, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons license and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/.

Acknowledgement

We thank Iris E. Hwang and Joon H. Kang for helpful comments on the manuscript, and Dimitra Vardalaki for valuable insights into designing the figures. S.R.M. and G.K. acknowledge support from the Virginia and D.K. Ludwig Fund for Cancer Research. J.F.C. and J.E.S. acknowledge support from the Australian Research Council Centre of Excellence in Exciton Science (CE170100026) and the Australian Research Council Grants Scheme. V.A. acknowledges support from LETI Carnot Institute EVEREST project for fabricating the 0.7 × 1.0 device as well as the CEA-Enhanced Eurotalents program, cofunded by FP7 Marie Skłodowska-Curie COFUND program (Grant Agreement 600382) and the Fulbright fellowship for the France National Researcher program (project title "EASY").

Contributions

These authors contributed equally: Georgios Katsikis, Jesse F. Collis.

G.K., J.F.C., J.E.S. and S.R.M. conceived the study. G.K. and S.R.M. designed the experiments. G.K. carried out the experiments with the exception of the experiments with the 3 × 3 device, which S.M.K. performed. V.A. designed and provided the 0.7 × 1.0 device. J.F.C. and J.E.S. developed the theory which built on an alternative inviscid theory developed by G.K. G.K. and J.F.C. analyzed the data and performed the Monte-Carlo simulations. G.K., J.F.C., J.E.S. and S.R.M. wrote the paper with V.A. providing input.

Data Availability

Source data (extracted signals at antinode and node, and rest of measured variables) are provided in the Supplementary Data. The raw experimental data (time-series data of resonant frequency) and simulation data are available from the corresponding authors upon reasonable request. Source data are provided with this paper.

Code Availability

All codes used in this study are available from the corresponding authors upon reasonable request.

Conflict of Interest

S.R.M. is a co-founder of Travera and Affinity Biosensors, which develops technologies relevant to the research presented in this work. The rest of the authors declare no competing interests.

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Additional details

Created:
October 9, 2023
Modified:
October 9, 2023