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Effect of Surface and Interfacial Tension on the Resonance Frequency of Microfluidic Channel Cantilever

The bending resonance of micro-sized resonators has been utilized to study adsorption of analyte molecules in complex fluids of picogram quantity. Traditionally, the analysis to characterize the resonance frequency has focused solely on the mass change, whereas the effect of interfacial tension of t...

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Autores principales: Abraham, Rosmi, Khan, Faheem, Bukhari, Syed A., Liu, Qingxia, Thundat, Thomas, Chung, Hyun-Joong, Kim, Chun Il
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2020
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7696287/
https://www.ncbi.nlm.nih.gov/pubmed/33198161
http://dx.doi.org/10.3390/s20226459
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author Abraham, Rosmi
Khan, Faheem
Bukhari, Syed A.
Liu, Qingxia
Thundat, Thomas
Chung, Hyun-Joong
Kim, Chun Il
author_facet Abraham, Rosmi
Khan, Faheem
Bukhari, Syed A.
Liu, Qingxia
Thundat, Thomas
Chung, Hyun-Joong
Kim, Chun Il
author_sort Abraham, Rosmi
collection PubMed
description The bending resonance of micro-sized resonators has been utilized to study adsorption of analyte molecules in complex fluids of picogram quantity. Traditionally, the analysis to characterize the resonance frequency has focused solely on the mass change, whereas the effect of interfacial tension of the fluid has been largely neglected. By observing forced vibrations of a microfluidic cantilever filled with a series of alkanes using a laser Doppler vibrometer (LDV), we studied the effect of surface and interfacial tension on the resonance frequency. Here, we incorporated the Young–Laplace equation into the Euler–Bernoulli beam theory to consider extra stress that surface and interface tension exerts on the vibration of the cantilever. Based on the hypothesis that the near-surface region of a continuum is subject to the extra stress, thin surface and interface layers are introduced to our model. The thin layer is subject to an axial force exerted by the extra stress, which in turn affects the transverse vibration of the cantilever. We tested the analytical model by varying the interfacial tension between the silicon nitride microchannel cantilever and the filled alkanes, whose interfacial tension varies with chain length. Compared with the conventional Euler–Bernoulli model, our enhanced model provides a better agreement to the experimental results, shedding light on precision measurements using micro-sized cantilever resonators.
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spelling pubmed-76962872020-11-29 Effect of Surface and Interfacial Tension on the Resonance Frequency of Microfluidic Channel Cantilever Abraham, Rosmi Khan, Faheem Bukhari, Syed A. Liu, Qingxia Thundat, Thomas Chung, Hyun-Joong Kim, Chun Il Sensors (Basel) Article The bending resonance of micro-sized resonators has been utilized to study adsorption of analyte molecules in complex fluids of picogram quantity. Traditionally, the analysis to characterize the resonance frequency has focused solely on the mass change, whereas the effect of interfacial tension of the fluid has been largely neglected. By observing forced vibrations of a microfluidic cantilever filled with a series of alkanes using a laser Doppler vibrometer (LDV), we studied the effect of surface and interfacial tension on the resonance frequency. Here, we incorporated the Young–Laplace equation into the Euler–Bernoulli beam theory to consider extra stress that surface and interface tension exerts on the vibration of the cantilever. Based on the hypothesis that the near-surface region of a continuum is subject to the extra stress, thin surface and interface layers are introduced to our model. The thin layer is subject to an axial force exerted by the extra stress, which in turn affects the transverse vibration of the cantilever. We tested the analytical model by varying the interfacial tension between the silicon nitride microchannel cantilever and the filled alkanes, whose interfacial tension varies with chain length. Compared with the conventional Euler–Bernoulli model, our enhanced model provides a better agreement to the experimental results, shedding light on precision measurements using micro-sized cantilever resonators. MDPI 2020-11-12 /pmc/articles/PMC7696287/ /pubmed/33198161 http://dx.doi.org/10.3390/s20226459 Text en © 2020 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/).
spellingShingle Article
Abraham, Rosmi
Khan, Faheem
Bukhari, Syed A.
Liu, Qingxia
Thundat, Thomas
Chung, Hyun-Joong
Kim, Chun Il
Effect of Surface and Interfacial Tension on the Resonance Frequency of Microfluidic Channel Cantilever
title Effect of Surface and Interfacial Tension on the Resonance Frequency of Microfluidic Channel Cantilever
title_full Effect of Surface and Interfacial Tension on the Resonance Frequency of Microfluidic Channel Cantilever
title_fullStr Effect of Surface and Interfacial Tension on the Resonance Frequency of Microfluidic Channel Cantilever
title_full_unstemmed Effect of Surface and Interfacial Tension on the Resonance Frequency of Microfluidic Channel Cantilever
title_short Effect of Surface and Interfacial Tension on the Resonance Frequency of Microfluidic Channel Cantilever
title_sort effect of surface and interfacial tension on the resonance frequency of microfluidic channel cantilever
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7696287/
https://www.ncbi.nlm.nih.gov/pubmed/33198161
http://dx.doi.org/10.3390/s20226459
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