Energy dissipation in microfluidic beam resonators: Effect of Poisson's ratio

Dissipation of mechanical energy underlies the sensitivity of many nanomechanical devices, with environmental effects often having a significant effect. One case of practical relevance is the interaction of elastic beam resonators with fluid, which is known to dramatically increase energy dissipatio...

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Main Authors: Sader, John E., Burg, Thomas P., Lee, Jungchul, Manalis, Scott R.
Other Authors: Massachusetts Institute of Technology. Department of Biological Engineering
Format: Article
Language:en_US
Published: American Physical Society 2011
Online Access:http://hdl.handle.net/1721.1/66508
https://orcid.org/0000-0001-5223-9433
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author Sader, John E.
Burg, Thomas P.
Lee, Jungchul
Manalis, Scott R.
author2 Massachusetts Institute of Technology. Department of Biological Engineering
author_facet Massachusetts Institute of Technology. Department of Biological Engineering
Sader, John E.
Burg, Thomas P.
Lee, Jungchul
Manalis, Scott R.
author_sort Sader, John E.
collection MIT
description Dissipation of mechanical energy underlies the sensitivity of many nanomechanical devices, with environmental effects often having a significant effect. One case of practical relevance is the interaction of elastic beam resonators with fluid, which is known to dramatically increase energy dissipation. Recently, we investigated energy dissipation in a different class of elastic beam resonator that embeds a microfluidic channel in its interior. In this paper, we examine the effect of the beam material Poisson ratio on these devices and discover that it can strongly affect energy dissipation—this is in direct contrast to conventional cantilever beams immersed in fluid. Increasing the Poisson ratio in these microfluidic devices is found to decrease energy dissipation, with the incompressible material limit providing minimum energy dissipation. Our paper establishes that, in this limit, placement of the fluid channel away from the beam neutral axis has negligible effect on energy dissipation in many cases of practical interest. The physical implications of these findings are discussed, and a detailed comparison with available experimental results is provided.
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spelling mit-1721.1/665082022-09-23T11:58:19Z Energy dissipation in microfluidic beam resonators: Effect of Poisson's ratio Sader, John E. Burg, Thomas P. Lee, Jungchul Manalis, Scott R. Massachusetts Institute of Technology. Department of Biological Engineering Massachusetts Institute of Technology. Department of Mechanical Engineering Manalis, Scott R. Burg, Thomas P. Lee, Jungchul Manalis, Scott R. Dissipation of mechanical energy underlies the sensitivity of many nanomechanical devices, with environmental effects often having a significant effect. One case of practical relevance is the interaction of elastic beam resonators with fluid, which is known to dramatically increase energy dissipation. Recently, we investigated energy dissipation in a different class of elastic beam resonator that embeds a microfluidic channel in its interior. In this paper, we examine the effect of the beam material Poisson ratio on these devices and discover that it can strongly affect energy dissipation—this is in direct contrast to conventional cantilever beams immersed in fluid. Increasing the Poisson ratio in these microfluidic devices is found to decrease energy dissipation, with the incompressible material limit providing minimum energy dissipation. Our paper establishes that, in this limit, placement of the fluid channel away from the beam neutral axis has negligible effect on energy dissipation in many cases of practical interest. The physical implications of these findings are discussed, and a detailed comparison with available experimental results is provided. Institute of Collaborative Biotechnologies (Contract No. W911NF-09-D-0001) National Institutes of Health (U.S.). Cell Decision Process Center (Grant No. P50-GM68762) 2011-10-19T21:41:07Z 2011-10-19T21:41:07Z 2011-08 2011-06 Article http://purl.org/eprint/type/JournalArticle 1539-3755 1550-2376 http://hdl.handle.net/1721.1/66508 Sader, John et al. “Energy dissipation in microfluidic beam resonators: Effect of Poisson’s ratio.” Physical Review E 84 (2011): n. pag. Web. 19 Oct. 2011. © 2011 American Physical Society https://orcid.org/0000-0001-5223-9433 en_US http://dx.doi.org/10.1103/PhysRevE.84.026304 Physical Review E Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. application/pdf American Physical Society APS
spellingShingle Sader, John E.
Burg, Thomas P.
Lee, Jungchul
Manalis, Scott R.
Energy dissipation in microfluidic beam resonators: Effect of Poisson's ratio
title Energy dissipation in microfluidic beam resonators: Effect of Poisson's ratio
title_full Energy dissipation in microfluidic beam resonators: Effect of Poisson's ratio
title_fullStr Energy dissipation in microfluidic beam resonators: Effect of Poisson's ratio
title_full_unstemmed Energy dissipation in microfluidic beam resonators: Effect of Poisson's ratio
title_short Energy dissipation in microfluidic beam resonators: Effect of Poisson's ratio
title_sort energy dissipation in microfluidic beam resonators effect of poisson s ratio
url http://hdl.handle.net/1721.1/66508
https://orcid.org/0000-0001-5223-9433
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