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...
| Main Authors: | , |
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| Formato: | Artigo |
| Idioma: | English |
| Publicado em: |
Nature Portfolio
2021-11-01
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| Colecção: | npj Microgravity |
| Acesso em linha: | https://doi.org/10.1038/s41526-021-00169-1 |
| _version_ | 1827616456991309824 |
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| author | Saiful I. Tamim Joshua B. Bostwick |
| author_facet | Saiful I. Tamim Joshua B. Bostwick |
| author_sort | Saiful I. Tamim |
| collection | DOAJ |
| 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. |
| first_indexed | 2024-03-09T09:27:17Z |
| format | Article |
| id | doaj.art-b638f5acd31e42cfb9fb9259e1fd056c |
| institution | Directory Open Access Journal |
| issn | 2373-8065 |
| language | English |
| last_indexed | 2024-03-09T09:27:17Z |
| publishDate | 2021-11-01 |
| publisher | Nature Portfolio |
| record_format | Article |
| series | npj Microgravity |
| spelling | doaj.art-b638f5acd31e42cfb9fb9259e1fd056c2023-12-02T05:43:42ZengNature Portfolionpj Microgravity2373-80652021-11-01711810.1038/s41526-021-00169-1Oscillations of a soft viscoelastic dropSaiful I. Tamim0Joshua B. Bostwick1Department of Mechanical Engineering, Clemson UniversityDepartment of Mechanical Engineering, Clemson UniversityAbstract 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.https://doi.org/10.1038/s41526-021-00169-1 |
| spellingShingle | Saiful I. Tamim Joshua B. Bostwick Oscillations of a soft viscoelastic drop npj Microgravity |
| title | 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_short | Oscillations of a soft viscoelastic drop |
| title_sort | oscillations of a soft viscoelastic drop |
| url | https://doi.org/10.1038/s41526-021-00169-1 |
| work_keys_str_mv | AT saifulitamim oscillationsofasoftviscoelasticdrop AT joshuabbostwick oscillationsofasoftviscoelasticdrop |