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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

The controllability of a fully three-dimensional $N$-link swimmer is studied. After deriving the equations of motion in a low Reynolds number fluid by means of Resistive Force Theory, the controllability of the minimal $2$-link swimmer is…

Optimization and Control · Mathematics 2019-12-12 Roberto Marchello , Marco Morandotti , Henry Shum , Marta Zoppello

The motility of microorganisms is influenced greatly by their hydrodynamic interactions with the fluidic environment they inhabit. We show by direct experimental observation of the bi-flagellated alga Chlamydomonas reinhardtii that fluid…

Biological Physics · Physics 2015-11-03 Boyang Qin , Arvind Gopinath , Jing Yang , Jerry P Gollub , Paulo E Arratia

Swimming of microorganisms is studied from a viewpoint of extended objects (strings and membranes) swimming in the incompressible f luid of low Reynolds number. The flagellated motion is analyzed in two dimensional fluid, by using the…

High Energy Physics - Theory · Physics 2009-10-22 Masako Kawamura , Akio Sugamoto , Shin'ichi Nojiri

We use the boundary element method to study the low-Reynolds number locomotion of a spherical model microorganism in a circular tube. The swimmer propels itself by tangen- tial or normal surface motion in a tube whose radius is on the order…

Fluid Dynamics · Physics 2013-06-11 Lailai Zhu , Eric Lauga , Luca Brandt

It has been recently shown that it is possible to design simple artificial swimmers at low Reynoldsnumber that possess only one degree of freedom and, nevertheless, can overcome Purcell's celebratedscallop theorem. One of the few examples…

Soft Condensed Matter · Physics 2024-03-20 Jessie Levillain , François Alouges , Antonio Desimone , Akash Choudhary , Sankalp Nambiar , Ida Bochert

We design and simulate the motion of a new swimmer, the {\it Quadroar}, with three dimensional translation and reorientation capabilities in low Reynolds number conditions. The Quadroar is composed of an $\texttt{I}$-shaped frame whose body…

Fluid Dynamics · Physics 2015-06-22 Mir Abbas Jalali , Mohammad-Reza Alam , SeyyedHossein Mousavi

The underlying mechanisms and physics of catalytic Janus microswimmers is highly complex, requiring details of the associated phoretic fields and the physiochemical properties of catalyst, particle, boundaries, and the fuel used. Therefore,…

We present a simple model for bacteria like \emph{Escherichia coli} swimming near solid surfaces. It consists of two spheres of different radii connected by a dragless rod. The effect of the flagella is taken into account by imposing a…

Fluid Dynamics · Physics 2015-06-03 Jocelyn Dunstan , Gastón Miño , Eric Clement , Rodrigo Soto

Among several models for microswimmers, the three-sphere microswimmer proposed by Najafi and Golestanian captures the essential mechanism for the locomotion of a microswimmer in a viscous fluid. Owing to its simplicity and flexibility, the…

Soft Condensed Matter · Physics 2023-08-22 Kento Yasuda , Yuto Hosaka , Shigeyuki Komura

Efficient locomotion is important for the evolution of complex life, yet the physical principles selecting specific swimming strokes often remain entangled with biological constraints. In viscous fluids, the scallop theorem constrains the…

Biological Physics · Physics 2026-03-11 Takahiro Kanazawa , Kenta Ishimoto , Kyogo Kawaguchi

Exact expressions are derived for the pair and three-body hydrodynamic interactions between a sphere and a number of small particles immersed in a viscous incompressible fluid. The analysis is based on the Stokes equations of low Reynolds…

Fluid Dynamics · Physics 2015-06-22 Maria L. Ekiel-Jezewska , B. U. Felderhof

Low Reynolds number direct simulations of large populations of hydrodynamically interacting swimming particles confined between planar walls are performed. The results of simulations are compared with a theory that describes dilute…

Fluid Dynamics · Physics 2015-05-13 Juan P. Hernandez-Ortiz , Patrick T. Underhill , Michael D. Graham

Efficient swimming at low Reynolds numbers is a major concern of microbots. To compare the efficiencies of different swimmers we introduce the notion of ``swimming drag coefficient'' which allows for the ranking of swimmers. We find the…

Mathematical Physics · Physics 2009-11-10 J. E. Avron , O. Gat , O. Kenneth

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…

The swimming of a two-sphere system oscillating in a viscous fluidis studied on the basis of simplified equations of motion which take account of both friction and inertial effects. In the model the friction follows from an Oseen…

Soft Condensed Matter · Physics 2022-08-17 B. U. Felderhof

Elongate animals and robots use undulatory body waves to locomote through diverse environments. Geometric mechanics provides a framework to model and optimize such systems in highly damped environments, connecting a prescribed shape change…

Robotics · Computer Science 2025-10-21 Jianfeng Lin , Tianyu Wang , Baxi Chong , Matthew Fernandez , Zhaochen Xu , Daniel I. Goldman

For a sperm cell-like flagellated swimmer in an unbounded domain, several numerical models of different fidelity are considered based on the Stokes flow approximation. The models include a Regularised Stokeslet Method and a 3D Finite…

Fluid Dynamics · Physics 2018-10-02 C. Rorai , M. Zaitsev , S. Karabasov

Flagellated microorganisms can swim at low Reynolds numbers and adapt to changes in their environment. Specifically, the flagella can switch their shapes or modes through gene expression. In the past decade, efforts have been made to…

Robotics · Computer Science 2024-01-02 Liyuan Tan , Yang Yang , Li Fang , David J. Cappelleri

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