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Metachronal paddling is a swimming strategy in which an organism oscillates sets of adjacent limbs with a constant phase lag, propagating a metachronal wave through its limbs and propelling it forward. This limb coordination strategy is…

Fluid Dynamics · Physics 2025-07-28 Alana A. Bailey , Robert D. Guy

In Stokes flow, Purcell's scallop theorem forbids objects with time-reversible (reciprocal) swimming strokes from moving. In the presence of inertia, this restriction is eased and reciprocally deforming bodies can swim. A number of recent…

Fluid Dynamics · Physics 2022-11-30 Nicholas J. Derr , Thomas Dombrowski , Chris H. Rycroft , Daphne Klotsa

We computationally study the kinematics of a simple model reciprocal swimmer (asymmetric dumbbell) as a function of the Reynolds number (Re) and investigate how the onset and gradual increase of inertia impacts the swimming behavior: a…

Soft Condensed Matter · Physics 2020-07-01 Thomas Dombrowski , Daphne Klotsa

We propose a reciprocal, self-propelled model swimmer at intermediate Reynolds numbers ($Re$). Our swimmer consists of two unequal spheres that oscillate in antiphase generating nonlinear steady streaming (SS) flows. We show computationally…

We investigate the hydrodynamic interactions between microorganisms swimming at low Reynolds number. By considering simple model swimmers, and combining analytic and numerical approaches, we investigate the time-averaged flow field around a…

Soft Condensed Matter · Physics 2007-05-25 C. M. Pooley , G. P. Alexander , J. M. Yeomans

In nature, metachronal coordination is an efficient strategy for fluid pumping and self-propulsion. Yet, mimetic systems for this type of organization are scarce. Recently, metachronal motion was observed in a bead-based magnetocapillary…

Soft Condensed Matter · Physics 2023-11-07 Sebastian Ziegler , Megan Delens , Ylona Collard , Maxime Hubert , Nicolas Vandewalle , Ana-Sunčana Smith

Microorganisms are rarely found in Nature swimming freely in an unbounded fluid. Instead, they typically encounter other organisms, hard walls, or deformable boundaries such as free interfaces or membranes. Hydrodynamic interactions between…

Fluid Dynamics · Physics 2013-10-21 Marcelo A. Dias , Thomas R. Powers

Microswimmers, especially in theoretical treatments, are generally taken to be completely inertia-free, since inertial effects on their motion are typically small and assuming their absence simplifies the problem considerably. Yet in nature…

Soft Condensed Matter · Physics 2016-11-08 Jayant Pande , Kristina Pickl , Oleg Trosman , Ulrich Rüde , Ana-Sunčana Smith

Swimming at low Reynolds number in Newtonian fluids is only possible through non-reciprocal body deformations due to the kinematic reversibility of the Stokes equations. We consider here a model swimmer consisting of two linked spheres,…

Fluid Dynamics · Physics 2017-04-26 Babak Nasouri , Aditi Khot , Gwynn J. Elfring

We introduce a generic model of weakly non-linear self-sustained oscillator as a simplified tool to study synchronisation in a fluid at low Reynolds number. By averaging over the fast degrees of freedom, we examine the effect of…

Soft Condensed Matter · Physics 2015-06-04 M. Leoni , T. B. Liverpool

In low Reynolds number swimming and pumping, differently to everyday experience, a net motion (or flow) can be achieved only if the constructing parts of the swimmer (or pump) follow a non-trivial pattern of motion, in order to break time…

Soft Condensed Matter · Physics 2019-06-19 Golnaz Najafi Gol-Vandani , Simone Di Leo , Jurij Kotar , Pietro Cicuta , Seyyed Nader Rasuli

Hydrodynamic interactions are crucial for determining the cooperative behavior of microswimmers at low Reynolds numbers. Here we provide a comprehensive analysis of the scaling and strength of the interactions in the case of a pair of…

Soft Condensed Matter · Physics 2021-02-11 Sebastian Ziegler , Thomas Scheel , Maxime Hubert , Jens Harting , Ana-Sunčana Smith

Reciprocal movement cannot be used for locomotion at low-Reynolds number in an infinite fluid or near a rigid surface. Here we show that this limitation is relaxed for a body performing reciprocal motions near a deformable interface. Using…

Soft Condensed Matter · Physics 2008-10-02 Renaud Trouilloud , Tony S. Yu , A. E. Hosoi , Eric Lauga

We propose minimal models of one-, two- and three-dimensional micro-swimmers at low Reynolds number with a periodic non-reciprocal motion. These swimmers are either "pushers" or "pullers" of fluid along the swimming axis, or combination of…

Soft Condensed Matter · Physics 2010-04-30 Nobuhiko Watari , Ronald G. Larson

Due to the kinematic reversibility of Stokes flow, a body executing a reciprocal motion (a motion in which the sequence of body configurations remains identical under time reversal) cannot propel itself in a viscous fluid in the limit of…

Soft Condensed Matter · Physics 2009-04-30 David Gonzalez-Rodriguez , Eric Lauga

We computationally studied the pair interactions and collective behavior of asymmetric, dumbbell swimmers over a range of intermediate Reynolds numbers and initial configurations. Depending on the initial positions and the Re, we found that…

Fluid Dynamics · Physics 2021-04-22 Thomas Dombrowski , Hong Nguyen , Daphne Klotsa

E. M. Purcell showed that a body has to perform non-reciprocal motion in order to propel itself in a highly viscous environment. The swimmer with one degree of freedom is bound to do reciprocal motion, whereby the center of mass of the…

Soft Condensed Matter · Physics 2017-08-24 Priyanka Choudhary , Subhayan Mandal , Sujin B. Babu

Self-propelled phoretic swimmers are generally studied in the laminar flow regime, where their low speed renders inertial effects negligible and trajectories highly predictable. This research tackles the challenge of propulsion in the…

Fluid Dynamics · Physics 2026-01-19 Alessandro Foradori , Paolo Bettotti

A remarkable variety of organisms use metachronal coordination (i.e., numerous neighboring appendages beating sequentially with a fixed phase lag) to swim or pump fluid. This coordination strategy is used by microorganisms to break symmetry…

Biological Physics · Physics 2024-07-22 David J. Peterman , Margaret L. Byron

At the millimeter scale and in the intermediate Reynolds number (Re) regime, the midge and mosquito larvae can reach swimming speeds of more than one body length per cycle performing a "figure-of-8" gait, in which their elongated bodies…

Fluid Dynamics · Physics 2023-03-29 Bowen Jin , Chengfeng Pan , Neng Xia , Jialei Song , Haoxiang Luo , Li Zhang , Yang Ding
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