Vibration of Nanoparticles in Viscous Fluids
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2013-03-21
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Chakraborty, Debadi, Emma van Leeuwen, Matthew Pelton, and John E. Sader. “Vibration of Nanoparticles in Viscous Fluids.” The Journal of Physical Chemistry C 117, no. 16 (April 25, 2013): 8536–44. https://doi.org/10.1021/jp401141b.
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This work was written as part of one of the author's official duties as an Employee of the United States Government and is therefore a work of the United States Government. In accordance with 17 U.S.C. 105, no copyright protection is available for such works under U.S. Law.
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Abstract
The dynamics of mechanical structures can be strongly affected by the fluid in which they are immersed. Ultrafast laser spectroscopy has recently provided fundamental insight into this fluid-structure interaction for nanoparticles immersed in a range of viscous fluids. In this article, we present results of a rigorous finite-element analysis and commensurate scaling theory that enable interpretation and analysis of these experiments, for the extensional vibrational modes of axisymmetric nanoparticles immersed in viscous fluids. Right circular, conical, and bipyramidal axisymmetric cylinder geometries are considered. We also develop an approximate analytical model that accounts for finite viscous penetration depth, which displays excellent agreement with finite-element results for particles of large aspect ratio. The finite-element results agree well with available measurements for particles in low-viscosity fluids such as water, but significant discrepancies exist at higher viscosities. Possible mechanisms for these differences are discussed.