Generalised Jeffery's equations for rapidly spinning particles. Part 2. Helicoidal objects with chirality
In this two-part study, we investigate the motion of rigid, active objects in shear Stokes flow, focusing on bodies that induce rapid rotation as part of their activity. In Part 2, we derive and analyse governing equations for rapidly spinning complex-shaped particles – general helicoidal objects wi...
| Main Authors: | , , , , |
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| Format: | Journal article |
| Language: | English |
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Cambridge University Press
2024
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| _version_ | 1797112571560460288 |
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| author | Dalwadi, MP Moreau, C Gaffney, EA Walker, BJ Ishimoto, K |
| author_facet | Dalwadi, MP Moreau, C Gaffney, EA Walker, BJ Ishimoto, K |
| author_sort | Dalwadi, MP |
| collection | OXFORD |
| description | In this two-part study, we investigate the motion of rigid, active objects in shear Stokes flow, focusing on bodies that induce rapid rotation as part of their activity. In Part 2, we derive and analyse governing equations for rapidly spinning complex-shaped particles – general helicoidal objects with chirality. Using the multiscale framework that we develop in Part 1 (Dalwadi et al., J. Fluid Mech., vol. 979, 2024, A1), we systematically derive emergent equations of motion for the angular and translational dynamics of these chiral spinning objects. We show that the emergent dynamics due to rapid rotation can be described by effective generalised Jeffery's equations, which differ from the classic versions via the inclusion of additional terms that account for chirality and other asymmetries. Furthermore, we use our analytic results to characterise and quantify the explicit effect of rotation on the effective hydrodynamic shape of the chiral objects, expanding significantly the scope of Jeffery's seminal study. |
| first_indexed | 2024-03-07T08:26:02Z |
| format | Journal article |
| id | oxford-uuid:54b0b7de-f5b2-43a9-9149-2ca33a582871 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T08:26:02Z |
| publishDate | 2024 |
| publisher | Cambridge University Press |
| record_format | dspace |
| spelling | oxford-uuid:54b0b7de-f5b2-43a9-9149-2ca33a5828712024-02-16T17:21:22ZGeneralised Jeffery's equations for rapidly spinning particles. Part 2. Helicoidal objects with chiralityJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:54b0b7de-f5b2-43a9-9149-2ca33a582871EnglishSymplectic ElementsCambridge University Press2024Dalwadi, MPMoreau, CGaffney, EAWalker, BJIshimoto, KIn this two-part study, we investigate the motion of rigid, active objects in shear Stokes flow, focusing on bodies that induce rapid rotation as part of their activity. In Part 2, we derive and analyse governing equations for rapidly spinning complex-shaped particles – general helicoidal objects with chirality. Using the multiscale framework that we develop in Part 1 (Dalwadi et al., J. Fluid Mech., vol. 979, 2024, A1), we systematically derive emergent equations of motion for the angular and translational dynamics of these chiral spinning objects. We show that the emergent dynamics due to rapid rotation can be described by effective generalised Jeffery's equations, which differ from the classic versions via the inclusion of additional terms that account for chirality and other asymmetries. Furthermore, we use our analytic results to characterise and quantify the explicit effect of rotation on the effective hydrodynamic shape of the chiral objects, expanding significantly the scope of Jeffery's seminal study. |
| spellingShingle | Dalwadi, MP Moreau, C Gaffney, EA Walker, BJ Ishimoto, K Generalised Jeffery's equations for rapidly spinning particles. Part 2. Helicoidal objects with chirality |
| title | Generalised Jeffery's equations for rapidly spinning particles. Part 2. Helicoidal objects with chirality |
| title_full | Generalised Jeffery's equations for rapidly spinning particles. Part 2. Helicoidal objects with chirality |
| title_fullStr | Generalised Jeffery's equations for rapidly spinning particles. Part 2. Helicoidal objects with chirality |
| title_full_unstemmed | Generalised Jeffery's equations for rapidly spinning particles. Part 2. Helicoidal objects with chirality |
| title_short | Generalised Jeffery's equations for rapidly spinning particles. Part 2. Helicoidal objects with chirality |
| title_sort | generalised jeffery s equations for rapidly spinning particles part 2 helicoidal objects with chirality |
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