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Related papers: Stochastic Low Reynolds Number Swimmers

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Swimming at the microscale has recently garnered substantial attention due to the fundamental biological significance of swimming microorganisms and the wide range of biomedical applications for artificial microswimmers. These microswimmers…

Fluid Dynamics · Physics 2024-02-16 Ali Gürbüz , Andrew Lemus , Ebru Demir , On Shun Pak , Abdallah Daddi-Moussa-Ider

Inspired by recent experiments using synthetic microswimmers to manipulate droplets, we investigate the low-Reynolds-number locomotion of a model swimmer (a spherical squirmer) encapsulated inside a droplet of comparable size in another…

Soft Condensed Matter · Physics 2017-03-14 Shang Yik Reigh , Lailai Zhu , François Gallaire , Eric Lauga

Swimming velocity and rate of dissipation of a sphere with surface distortions are discussed on the basis of the Stokes equations of low Reynolds number hydrodynamics. At first the surface distortions are assumed to cause an irrotational…

Fluid Dynamics · Physics 2015-06-19 B. U. Felderhof , R. B. Jones

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

In a recent letter (Friedrich et al., Phys. Rev. Lett. 109:138102, 2012), a minimal model swimmer was proposed that propels itself at low Reynolds numbers by a revolving motion of a pair of spheres. The motion of the two spheres can…

Cell Behavior · Quantitative Biology 2015-06-12 Katja Polotzek , Benjamin M. Friedrich

We describe experiments and simulations demonstrating the propulsion of a neutrally-buoyant swimmer that consists of a pair of spheres attached by a spring, immersed in a vibrating fluid. The vibration of the fluid induces relative motion…

Active dumbbell suspensions constitute one of the simplest model system for collective swimming at low Reynolds number. Generalizing recent work, we derive and analyze stroke-averaged equations of motion that capture the effective…

Soft Condensed Matter · Physics 2010-10-12 Victor B. Putz , Jörn Dunkel

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

We address the swimming problem at low Reynolds number. This regime, which is typically used for micro-swimmers, is described by Stokes equations. We couple a PDE solver of Stokes equations, derived from the Feel++ finite elements library,…

Analysis of PDEs · Mathematics 2019-11-28 Luca Berti , Laetitia Giraldi , Christophe Prud'Homme

In the limit of zero Reynolds number (Re), swimmers propel themselves exploiting a series of non-reciprocal body motions. For an artificial swimmer, a proper selection of the power source is required to drive its motion, in cooperation with…

Soft Condensed Matter · Physics 2021-09-08 Endao Han , Lailai Zhu , Joshua W. Shaevitz , Howard A. Stone

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

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 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

We simulate the self-propulsion of devices in a fluid in the regime of low Reynolds numbers. Each device consists of three bodies (spheres or capsules) connected with two damped harmonic springs. Sinusoidal driving forces compress the…

Computational Engineering, Finance, and Science · Computer Science 2011-08-20 Kristina Pickl , Jan Götz , Klaus Iglberger , Jayant Pande , Klaus Mecke , Ana-Suncana Smith , Ulrich Rüde

In several biologically relevant situations, cell locomotion occurs in polymeric fluids with Weissenberg {number} larger than one. Here we present results of three-dimensional numerical simulations for the steady locomotion of a…

Fluid Dynamics · Physics 2012-12-03 Lailai ZHu , Minh Do-Quang , Eric Lauga , Luca Brandt

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

Undulatory locomotion is a means of self-propulsion that relies on the generation and propagation of waves along a body. As a mode of locomotion it is primitive and relatively simple, yet can be remarkably robust. No wonder then, that it is…

Biological Physics · Physics 2009-08-20 Netta Cohen , Jordan H. Boyle

In this paper, we address a crucial point regarding the description of moderate to high Reynolds numbers aquatic swimmers. For decades, swimming animals have been classified in two different families of propulsive mechanisms based on the…

Fluid Dynamics · Physics 2017-10-03 Miguel Piñeirua , Ramiro Godoy-Diana , Benjamin Thiria

Swimming and pumping at low Reynolds numbers are subject to the "Scallop theorem", which states that there will be no net fluid flow for time reversible motions. Living organisms such as bacteria and cells are subject to this constraint,…

Soft Condensed Matter · Physics 2009-01-20 M. Leoni , J. Kotar , B. Bassetti , P. Cicuta , M. Cosentino Lagomarsino

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