Abstract
We explore a simple (toy) model of undulating finite-length filaments swimming in viscous fluids, based on resistive force theory. The filaments are actuated by traveling waves, and we consider four different strategies: two smooth waveforms (cartesian and curvature sine waves) and two others with kinks (sawtooth and square waves). Analytical results in the limit of short filaments and/or small actuation parameters are provided. A new efficiency metric is proposed which takes into account that work expenditure is minimal when power consumption is maintained constant. This metric is particularly well-suited for short undulating filaments where power fluctuations for constant actuation rates can be substantial. Parametric studies are performed for a range of filament lengths and actuation parameters for the purpose of side-by-side comparisons. We give analytical expressions for swimming of arbitrary length filaments where the actuation is small. We describe “swimming resonances,” which are local maxima in p...
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
