Oscillations of a soft viscoelastic drop

Abstract A soft viscoelastic drop has dynamics governed by the balance between surface tension, viscosity, and elasticity, with the material rheology often being frequency dependent, which are utilized in bioprinting technologies for tissue engineering and drop-deposition processes for splash suppre...

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Autores principales: Saiful I. Tamim, Joshua B. Bostwick
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Lenguaje:EN
Publicado: Nature Portfolio 2021
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Acceso en línea:https://doaj.org/article/b638f5acd31e42cfb9fb9259e1fd056c
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spelling oai:doaj.org-article:b638f5acd31e42cfb9fb9259e1fd056c2021-11-08T11:01:39ZOscillations of a soft viscoelastic drop10.1038/s41526-021-00169-12373-8065https://doaj.org/article/b638f5acd31e42cfb9fb9259e1fd056c2021-11-01T00:00:00Zhttps://doi.org/10.1038/s41526-021-00169-1https://doaj.org/toc/2373-8065Abstract A soft viscoelastic drop has dynamics governed by the balance between surface tension, viscosity, and elasticity, with the material rheology often being frequency dependent, which are utilized in bioprinting technologies for tissue engineering and drop-deposition processes for splash suppression. We study the free and forced oscillations of a soft viscoelastic drop deriving (1) the dispersion relationship for free oscillations, and (2) the frequency response for forced oscillations, of a soft material with arbitrary rheology. We then restrict our analysis to the classical cases of a Kelvin–Voigt and Maxwell model, which are relevant to soft gels and polymer fluids, respectively. We compute the complex frequencies, which are characterized by an oscillation frequency and decay rate, as they depend upon the dimensionless elastocapillary and Deborah numbers and map the boundary between regions of underdamped and overdamped motions. We conclude by illustrating how our theoretical predictions for the frequency-response diagram could be used in conjunction with drop-oscillation experiments as a “drop vibration rheometer”, suggesting future experiments using either ultrasonic levitation or a microgravity environment.Saiful I. TamimJoshua B. BostwickNature PortfolioarticleBiotechnologyTP248.13-248.65PhysiologyQP1-981ENnpj Microgravity, Vol 7, Iss 1, Pp 1-8 (2021)
institution DOAJ
collection DOAJ
language EN
topic Biotechnology
TP248.13-248.65
Physiology
QP1-981
spellingShingle Biotechnology
TP248.13-248.65
Physiology
QP1-981
Saiful I. Tamim
Joshua B. Bostwick
Oscillations of a soft viscoelastic drop
description Abstract A soft viscoelastic drop has dynamics governed by the balance between surface tension, viscosity, and elasticity, with the material rheology often being frequency dependent, which are utilized in bioprinting technologies for tissue engineering and drop-deposition processes for splash suppression. We study the free and forced oscillations of a soft viscoelastic drop deriving (1) the dispersion relationship for free oscillations, and (2) the frequency response for forced oscillations, of a soft material with arbitrary rheology. We then restrict our analysis to the classical cases of a Kelvin–Voigt and Maxwell model, which are relevant to soft gels and polymer fluids, respectively. We compute the complex frequencies, which are characterized by an oscillation frequency and decay rate, as they depend upon the dimensionless elastocapillary and Deborah numbers and map the boundary between regions of underdamped and overdamped motions. We conclude by illustrating how our theoretical predictions for the frequency-response diagram could be used in conjunction with drop-oscillation experiments as a “drop vibration rheometer”, suggesting future experiments using either ultrasonic levitation or a microgravity environment.
format article
author Saiful I. Tamim
Joshua B. Bostwick
author_facet Saiful I. Tamim
Joshua B. Bostwick
author_sort Saiful I. Tamim
title Oscillations of a soft viscoelastic drop
title_short Oscillations of a soft viscoelastic drop
title_full Oscillations of a soft viscoelastic drop
title_fullStr Oscillations of a soft viscoelastic drop
title_full_unstemmed Oscillations of a soft viscoelastic drop
title_sort oscillations of a soft viscoelastic drop
publisher Nature Portfolio
publishDate 2021
url https://doaj.org/article/b638f5acd31e42cfb9fb9259e1fd056c
work_keys_str_mv AT saifulitamim oscillationsofasoftviscoelasticdrop
AT joshuabbostwick oscillationsofasoftviscoelasticdrop
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