Academic Journal
Well-Posedness of a Viscoelastic Resistive Force Theory and Applications to Swimming.
| Τίτλος: | Well-Posedness of a Viscoelastic Resistive Force Theory and Applications to Swimming. |
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| Συγγραφείς: | Ohm, Laurel |
| Πηγή: | Journal of Nonlinear Science; Oct2024, Vol. 34 Issue 5, p1-48, 48p |
| Θεματικοί όροι: | Resistive force, Swimming, Viscoelasticity, Swimmers, Fibers |
| Περίληψη: | We propose and analyze a simple model for the evolution of an immersed, inextensible filament which incorporates linear viscoelastic effects of the surrounding fluid. The model is a closed-form system of equations along the curve only which includes a 'memory' term due to viscoelasticity. For a planar filament, given a forcing in the form of a preferred curvature, we prove well-posedness of the fiber evolution as well as the existence of a unique time-periodic solution in the case of time-periodic forcing. Moreover, we obtain an expression for the swimming speed of the filament in terms of the preferred curvature. The swimming speed depends in a complicated way on the viscoelastic parameters corresponding to the fluid relaxation time and additional polymeric viscosity. We study this expression in detail, accompanied by numerical simulations, and show that this simple model can capture complex effects of viscoelasticity on swimming. In particular, the viscoelastic swimmer is shown to be faster than its Newtonian counterpart in some situations and slower in others. Strikingly, we even find an example where viscoelastic effects may lead to a reversal in swimming direction from the Newtonian setting, although this occurs when the displacement for both the Newtonian and viscoelastic swimmers is practically negligible. [ABSTRACT FROM AUTHOR] |
| Copyright of Journal of Nonlinear Science is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Βάση Δεδομένων: | Complementary Index |
| FullText | Links: – Type: other Text: Availability: 0 CustomLinks: – Url: https://dx.doi.org/doi:10.1007/s00332-024-10051-5 Name: EDS - Springer Nature Journals (s7799221) Category: fullText Text: View record at Springer |
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| Header | DbId: edb DbLabel: Complementary Index An: 178230780 RelevancyScore: 966 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 965.718994140625 |
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| Items | – Name: Title Label: Title Group: Ti Data: Well-Posedness of a Viscoelastic Resistive Force Theory and Applications to Swimming. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Ohm%2C+Laurel%22">Ohm, Laurel</searchLink> – Name: TitleSource Label: Source Group: Src Data: Journal of Nonlinear Science; Oct2024, Vol. 34 Issue 5, p1-48, 48p – Name: Subject Label: Subject Terms Group: Su Data: <searchLink fieldCode="DE" term="%22Resistive+force%22">Resistive force</searchLink><br /><searchLink fieldCode="DE" term="%22Swimming%22">Swimming</searchLink><br /><searchLink fieldCode="DE" term="%22Viscoelasticity%22">Viscoelasticity</searchLink><br /><searchLink fieldCode="DE" term="%22Swimmers%22">Swimmers</searchLink><br /><searchLink fieldCode="DE" term="%22Fibers%22">Fibers</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: We propose and analyze a simple model for the evolution of an immersed, inextensible filament which incorporates linear viscoelastic effects of the surrounding fluid. The model is a closed-form system of equations along the curve only which includes a 'memory' term due to viscoelasticity. For a planar filament, given a forcing in the form of a preferred curvature, we prove well-posedness of the fiber evolution as well as the existence of a unique time-periodic solution in the case of time-periodic forcing. Moreover, we obtain an expression for the swimming speed of the filament in terms of the preferred curvature. The swimming speed depends in a complicated way on the viscoelastic parameters corresponding to the fluid relaxation time and additional polymeric viscosity. We study this expression in detail, accompanied by numerical simulations, and show that this simple model can capture complex effects of viscoelasticity on swimming. In particular, the viscoelastic swimmer is shown to be faster than its Newtonian counterpart in some situations and slower in others. Strikingly, we even find an example where viscoelastic effects may lead to a reversal in swimming direction from the Newtonian setting, although this occurs when the displacement for both the Newtonian and viscoelastic swimmers is practically negligible. [ABSTRACT FROM AUTHOR] – Name: Abstract Label: Group: Ab Data: <i>Copyright of Journal of Nonlinear Science is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
| PLink | https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=edb&AN=178230780 |
| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1007/s00332-024-10051-5 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 48 StartPage: 1 Subjects: – SubjectFull: Resistive force Type: general – SubjectFull: Swimming Type: general – SubjectFull: Viscoelasticity Type: general – SubjectFull: Swimmers Type: general – SubjectFull: Fibers Type: general Titles: – TitleFull: Well-Posedness of a Viscoelastic Resistive Force Theory and Applications to Swimming. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Ohm, Laurel IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 10 Text: Oct2024 Type: published Y: 2024 Identifiers: – Type: issn-print Value: 09388974 Numbering: – Type: volume Value: 34 – Type: issue Value: 5 Titles: – TitleFull: Journal of Nonlinear Science Type: main |
| ResultId | 1 |