Tubular-body theory for viscous flows

Koens, Lyndon

Abstract

Cable-like bodies play a key role in many interdisciplinary systems but are hard to simulate. Asymptotic theories, called slender-body theories, are effective but apply in specific regimes and can be hard to extend beyond leading order. In this letter we develop an exact slender-body-like theory for the surface traction of cable-like bodies in viscous flow. This theory expresses the traction as a series of solutions to a well-behaved one-dimensional Fredholm integral equation of the second kind. This process can be simply generalised to other systems.

Citation

Koens, L. (2022). Tubular-body theory for viscous flows. Physical Review Fluids, 7(3), Article 034101. https://doi.org/10.1103/PhysRevFluids.7.034101

• Journal Article Type: Article
• Acceptance Date: Feb 7, 2022
• Online Publication Date: Mar 10, 2022
• Publication Date: 2022-03
• Deposit Date: Apr 1, 2022
• Publicly Available Date: Apr 6, 2022
• Journal: Physical Review Fluids
• Print ISSN: 2469-990X
• Publisher: American Physical Society
• Peer Reviewed: Peer Reviewed
• Volume: 7
• Issue: 3
• Article Number: 034101
• DOI: https://doi.org/10.1103/PhysRevFluids.7.034101
• Keywords: Fluid Dynamics; Soft Condensed Matter; Biological Physics
• Public URL: https://hull-repository.worktribe.com/output/3950773
• Publisher URL: https://journals.aps.org/prfluids/abstract/10.1103/PhysRevFluids.7.034101