Correlation between the toroidal modes of an elastic sphere and the viscosity of liquids
Vibration characteristics of elastic nanostructures embedded in fluid medium have been used for biological and mechanical sensing and also to investigate materials and mechanical properties. An analytical approach has been developed in this paper to accurately predict toroidal vibrations of an elast...
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| Format: | Article |
| Language: | English |
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Académie des sciences
2021-03-01
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| Series: | Comptes Rendus. Mécanique |
| Subjects: | |
| Online Access: | https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.79/ |
| _version_ | 1797651476669005824 |
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| author | Le Pommellec, Jean Yves El Baroudi, Adil |
| author_facet | Le Pommellec, Jean Yves El Baroudi, Adil |
| author_sort | Le Pommellec, Jean Yves |
| collection | DOAJ |
| description | Vibration characteristics of elastic nanostructures embedded in fluid medium have been used for biological and mechanical sensing and also to investigate materials and mechanical properties. An analytical approach has been developed in this paper to accurately predict toroidal vibrations of an elastic nanosphere in water–glycerol mixture. The Maxwell and Kelvin–Voigt models are used to describe the viscoelasticity of this fluid. The influence of key parameters such as glycerol mass fraction, sphere radius, and angular mode number are studied. We demonstrate that the sphere radius plays a significant role on the quality factor. Results also highlight three behavior zones: viscous fluid, transition, and elastic solid. In addition, these investigations can serve as benchmark solution in design of liquid sensors. |
| first_indexed | 2024-03-11T16:15:14Z |
| format | Article |
| id | doaj.art-7b3b044b53d6424c9d16eca13d7298b8 |
| institution | Directory Open Access Journal |
| issn | 1873-7234 |
| language | English |
| last_indexed | 2024-03-11T16:15:14Z |
| publishDate | 2021-03-01 |
| publisher | Académie des sciences |
| record_format | Article |
| series | Comptes Rendus. Mécanique |
| spelling | doaj.art-7b3b044b53d6424c9d16eca13d7298b82023-10-24T14:20:53ZengAcadémie des sciencesComptes Rendus. Mécanique1873-72342021-03-01349117918810.5802/crmeca.7910.5802/crmeca.79Correlation between the toroidal modes of an elastic sphere and the viscosity of liquidsLe Pommellec, Jean Yves0El Baroudi, Adil1https://orcid.org/0000-0002-6860-4877Arts et Metiers Institute of Technology, Angers, FranceArts et Metiers Institute of Technology, Angers, FranceVibration characteristics of elastic nanostructures embedded in fluid medium have been used for biological and mechanical sensing and also to investigate materials and mechanical properties. An analytical approach has been developed in this paper to accurately predict toroidal vibrations of an elastic nanosphere in water–glycerol mixture. The Maxwell and Kelvin–Voigt models are used to describe the viscoelasticity of this fluid. The influence of key parameters such as glycerol mass fraction, sphere radius, and angular mode number are studied. We demonstrate that the sphere radius plays a significant role on the quality factor. Results also highlight three behavior zones: viscous fluid, transition, and elastic solid. In addition, these investigations can serve as benchmark solution in design of liquid sensors.https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.79/Viscoelastic liquidElastic sphereToroidal vibrationAnalytical approachMaxwell modelKelvin–Voigt model |
| spellingShingle | Le Pommellec, Jean Yves El Baroudi, Adil Correlation between the toroidal modes of an elastic sphere and the viscosity of liquids Comptes Rendus. Mécanique Viscoelastic liquid Elastic sphere Toroidal vibration Analytical approach Maxwell model Kelvin–Voigt model |
| title | Correlation between the toroidal modes of an elastic sphere and the viscosity of liquids |
| title_full | Correlation between the toroidal modes of an elastic sphere and the viscosity of liquids |
| title_fullStr | Correlation between the toroidal modes of an elastic sphere and the viscosity of liquids |
| title_full_unstemmed | Correlation between the toroidal modes of an elastic sphere and the viscosity of liquids |
| title_short | Correlation between the toroidal modes of an elastic sphere and the viscosity of liquids |
| title_sort | correlation between the toroidal modes of an elastic sphere and the viscosity of liquids |
| topic | Viscoelastic liquid Elastic sphere Toroidal vibration Analytical approach Maxwell model Kelvin–Voigt model |
| url | https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.79/ |
| work_keys_str_mv | AT lepommellecjeanyves correlationbetweenthetoroidalmodesofanelasticsphereandtheviscosityofliquids AT elbaroudiadil correlationbetweenthetoroidalmodesofanelasticsphereandtheviscosityofliquids |