Generalised geometric swimming for Stokes flow

Koens, Lyndon; Lauga, Eric

Abstract

Shapere and Wilczek first demonstrated that the displacement of a microscopic swimmer was related to path integrals over a gauge field. This field is a function of the swimmers configuration and laboratory frame position. For simple 1D swimmers, Stokes theorem can be used to relate the net displacement from a stroke to the area within a curve. This provides an effective method to determine the optimal strokes for displacement. However, a similar visualization is difficult for many swimmers because of complex configuration spaces or non-commuting variables. In this talk I will use a Purcell swimmer to demonstrate how to overcome these issues. These techniques reveal general properties about the displacement of microswimmers while offering a new method to optimise them.

Citation

Koens, L., & Lauga, E. (2019, November). Generalised geometric swimming for Stokes flow. Presented at 72nd Annual Meeting of the APS Division of Fluid Dynamics, Seattle, Washington

• Presentation Conference Type: Conference Paper (published)
• Conference Name: 72nd Annual Meeting of the APS Division of Fluid Dynamics
• Start Date: Nov 23, 2019
• End Date: Nov 26, 2019
• Acceptance Date: Nov 24, 2019
• Publication Date: 2019
• Deposit Date: Jan 25, 2022
• Publisher: American Physical Society
• Book Title: 72nd Annual Meeting of the APS Division of Fluid Dynamics. Meeting Abstracts
• Public URL: https://hull-repository.worktribe.com/output/3916680
• Publisher URL: https://meetings.aps.org/Meeting/DFD19/Session/C35.9