Generalised Jeffery's equations for rapidly spinning particles. Part 1. Spheroids
The observed behaviour of passive objects in simple flows can be surprisingly intricate, and is complicated further by object activity. Inspired by the motility of bacterial swimmers, in this two-part study we examine the three-dimensional motion of rigid active particles in shear Stokes flow, focus...
| Main Authors: | , , , , |
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| Format: | Journal article |
| Language: | English |
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Cambridge University Press
2024
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| _version_ | 1826312225012318208 |
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| author | Dalwadi, MP Moreau, C Gaffney, EA Ishimoto, K Walker, BJ |
| author_facet | Dalwadi, MP Moreau, C Gaffney, EA Ishimoto, K Walker, BJ |
| author_sort | Dalwadi, MP |
| collection | OXFORD |
| description | The observed behaviour of passive objects in simple flows can be surprisingly intricate, and is complicated further by object activity. Inspired by the motility of bacterial swimmers, in this two-part study we examine the three-dimensional motion of rigid active particles in shear Stokes flow, focusing on bodies that induce rapid rotation as part of their activity. In Part 1 we develop a multiscale framework to investigate these emergent dynamics and apply it to simple spheroidal objects. In Part 2 (Dalwadi et al., J. Fluid Mech., vol. 979, 2024, A2) we apply our framework to understand the emergent dynamics of more complex shapes; helicoidal objects with chirality. Via a multiple scales asymptotic analysis for nonlinear systems, we systematically derive emergent equations of motion for long-term trajectories that explicitly account for the strong (leading-order) effects of fast spinning. Supported by numerical examples, we constructively link these effective dynamics to the well-known Jeffery's orbits for passive spheroids, deriving an explicit closed-form expression for the effective shape of the active particle, broadening the scope of Jeffery's seminal study to spinning spheroids. |
| first_indexed | 2024-03-07T08:25:52Z |
| format | Journal article |
| id | oxford-uuid:37cf4096-c531-469c-bb73-39f25dd332aa |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T08:25:52Z |
| publishDate | 2024 |
| publisher | Cambridge University Press |
| record_format | dspace |
| spelling | oxford-uuid:37cf4096-c531-469c-bb73-39f25dd332aa2024-02-16T17:06:37ZGeneralised Jeffery's equations for rapidly spinning particles. Part 1. SpheroidsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:37cf4096-c531-469c-bb73-39f25dd332aaEnglishSymplectic ElementsCambridge University Press2024Dalwadi, MPMoreau, CGaffney, EAIshimoto, KWalker, BJThe observed behaviour of passive objects in simple flows can be surprisingly intricate, and is complicated further by object activity. Inspired by the motility of bacterial swimmers, in this two-part study we examine the three-dimensional motion of rigid active particles in shear Stokes flow, focusing on bodies that induce rapid rotation as part of their activity. In Part 1 we develop a multiscale framework to investigate these emergent dynamics and apply it to simple spheroidal objects. In Part 2 (Dalwadi et al., J. Fluid Mech., vol. 979, 2024, A2) we apply our framework to understand the emergent dynamics of more complex shapes; helicoidal objects with chirality. Via a multiple scales asymptotic analysis for nonlinear systems, we systematically derive emergent equations of motion for long-term trajectories that explicitly account for the strong (leading-order) effects of fast spinning. Supported by numerical examples, we constructively link these effective dynamics to the well-known Jeffery's orbits for passive spheroids, deriving an explicit closed-form expression for the effective shape of the active particle, broadening the scope of Jeffery's seminal study to spinning spheroids. |
| spellingShingle | Dalwadi, MP Moreau, C Gaffney, EA Ishimoto, K Walker, BJ Generalised Jeffery's equations for rapidly spinning particles. Part 1. Spheroids |
| title | Generalised Jeffery's equations for rapidly spinning particles. Part 1. Spheroids |
| title_full | Generalised Jeffery's equations for rapidly spinning particles. Part 1. Spheroids |
| title_fullStr | Generalised Jeffery's equations for rapidly spinning particles. Part 1. Spheroids |
| title_full_unstemmed | Generalised Jeffery's equations for rapidly spinning particles. Part 1. Spheroids |
| title_short | Generalised Jeffery's equations for rapidly spinning particles. Part 1. Spheroids |
| title_sort | generalised jeffery s equations for rapidly spinning particles part 1 spheroids |
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