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Swimming consists by definition in propelling through a fluid by means of bodily movements. Thus, from a mathematical point of view, swimming turns into a control problem for which the controls are the deformations of the swimmer. The aim…

Optimization and Control · Mathematics 2017-02-15 Thomas Chambrion , Laetitia Giraldi , Alexandre Munnier

In this fluid dynamics video, we present the first time-resolved measurements of the oscillatory velocity field induced by swimming unicellular microorganisms. Confinement of the green alga C. reinhardtii in stabilized thin liquid films…

Fluid Dynamics · Physics 2015-05-20 Jeffrey S. Guasto , Karl A. Johnson , J. P. Gollub

The expansion of biological species in natural environments is usually described as the combined effect of individual spatial dispersal and growth. In the case of aquatic ecosystems flow transport can also be extremely relevant as an extra,…

Biological Physics · Physics 2016-08-30 Francesca Tesser , Jos C. H. Zeegers , Herman J. H. Clercx , Luc Brunsveld , Federico Toschi

Many swimmers, especially small to medium-sized animals, use intermittent locomotion that differs from continuous swimming of large species. This type of locomotion, called burst-and-coast, is often associated with an energetic advantage.…

Fluid Dynamics · Physics 2025-05-08 Tristan Aurégan , Mathilde Lemoine , Benjamin Thiria , Sylvain Courrech du Pont

A single flexible filament can be actuated to escape from the scallop theorem and generate net propulsion at low Reynolds number. In this work, we study the dynamics of a simple boundary-driven multi-filament swimmer, a two-arm clamshell…

Fluid Dynamics · Physics 2022-03-07 Shiyuan Hu , Jun Zhang , Michael J. Shelley

Swimming eukaryotic microorganisms such as spermatozoa, algae and ciliates self-propel in viscous fluids using travelling wave-like deformations of slender appendages called flagella. Waves are predominant because Purcell's scallop theorem…

Fluid Dynamics · Physics 2020-11-18 Eric Lauga

In this paper we study swimming of a model organism, the so-called Taylor's swimming sheet, in a viscoelastic fluid close to a solid boundary. This situation comprises natural habitats of many swimming microorganisms, and while previous…

Fluid Dynamics · Physics 2018-01-29 Thomas R. Ives , Alexander Morozov

A pinned-free beam in axial fluid flow, subjected to feedback-based actuation at the pinned end, is investigated. The actuation may be a moment or a prescribed angle and it is proportional to the state (curvature, slope, or displacement) of…

Fluid Dynamics · Physics 2023-02-07 Sanders Aspelund , Ranjan Mukherjee , Aren Hellum

Fluctuation dynamics of an experimentally measured observable offer a primary signal for nonequilibrium systems, along with dynamics of the mean. While universal speed limits for the mean have actively been studied recently, constraints for…

Statistical Mechanics · Physics 2024-11-08 Ryusuke Hamazaki

Suspensions of unicellular microswimmers such as flagellated bacteria or motile algae exhibit spontaneous density heterogeneities at large enough concentrations. Based on the relative location of the biological actuation appendages i.e.…

Soft Condensed Matter · Physics 2017-11-27 Fabian Jan Schwarzendahl , Marco G. Mazza

In this paper, the diffusion entropy technique is applied to investigate the scaling behavior of stride interval fluctuations of human gait. The scaling behavior of the stride interval of human walking at normal, slow and fast rate are…

Biological Physics · Physics 2009-11-13 Shi-Min Cai , Pei-Ling Zhou , Hui-Jie Yang , Tao Zhou , Bing-Hong Wang , Fang-Cui Zhao

The swimming trajectories of self-propelled organisms or synthetic devices in a viscous fluid can be altered by hydrodynamic interactions with nearby boundaries. We explore a multipole description of swimming bodies and provide a general…

Fluid Dynamics · Physics 2012-11-30 Saverio E. Spagnolie , Eric Lauga

We describe a method, based on techniques used in molecular dynamics, for simulating the inertialess dynamics of an elastic filament immersed in a fluid. The model is used to study the "one-armed swimmer". That is, a flexible appendage…

Biological Physics · Physics 2007-05-23 M. Cosentino Lagomarsino , F. Capuani , C. P. Lowe

When a microorganism begins swimming from rest in a Newtonian fluid such as water, it rapidly attains its steady-state swimming speed since changes in the velocity field spread quickly when the Reynolds number is small. However, swimming…

Fluid Dynamics · Physics 2016-02-12 Madison S. Krieger , Marcelo A. Dias , Thomas R. Powers

Inviscid computations are presented of a self-propelled virtual body connected to a combined heaving and pitching foil that uses continuous and intermittent motions. It is determined that intermittent swimming can improve efficiency when…

Fluid Dynamics · Physics 2021-04-07 Emre Akoz , Amin Mivehchi , Keith W. Moored

Jellyfish (Medusozoa) have been deemed the most energy-efficient animals in the world. Their bell morphology and relatively simple nervous systems make them attractive to robotocists. Although, the science community has devoted much…

Fluid Dynamics · Physics 2021-12-15 Tierney Baldwin , Nicholas A. Battista

Copepod nauplii are larval crustaceans with important ecological functions. Due to their small size, they experience an environment of low Reynolds number within their aquatic habitat. Here we provide a mathematical model of a swimming…

Optimization and Control · Mathematics 2023-08-21 Jonas Balisacan , Monique Chyba , Corey Shanbrom , George Wilkens

A classical and central problem in the theory of water waves is to classify parameter regimes for which non-trivial solitary waves exist. In the two-dimensional, irrotational, pure gravity case, the Froude number $Fr$ (a non-dimensional…

Analysis of PDEs · Mathematics 2026-03-04 Evgeniy Lokharu , Jörg Weber

We characterize the full spatiotemporal gait of populations of swimming {\it Escherichia coli} using renewal processes to analyze the measurements of intermediate scattering functions. This allows us to demonstrate quantitatively how the…

Many microorganisms swim through gels and non-Newtonian fluids in their natural environments. In this paper, we focus on microorganisms which use flagella for propulsion. We address how swimming velocities are affected in nonlinearly…

Biological Physics · Physics 2010-04-07 Henry C. Fu , Charles W. Wolgemuth , Thomas R. Powers