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We investigate the behavior of a treadmilling microswimmer in a two-dimensional unbounded domain with a semi-infinite no-slip wall. The wall can also be regarded as a probe or pipette inserted into the flow. We solve the governing evolution…

Biological Physics · Physics 2014-08-21 Kiori Obuse , Jean-Luc Thiffeault

The locomotion of microorganisms and spermatozoa in complex viscoelastic fluids is of critical importance in many biological processes such as fertilization, infection, and biofilm formation. Depending on their propulsion mechanisms,…

Soft Condensed Matter · Physics 2021-09-14 Gaojin Li , Eric Lauga , Arezoo M. Ardekani

We develop a numerical framework to simulate the locomotion of a flagellated bacterium with a spheroidal head (such as Escherichia coli) in biological fluids like mucus, which are entangled polymer solutions exhibiting elasto-viscoplastic…

Fluid Dynamics · Physics 2026-04-01 Arjun Sharma , Sabarish V. Narayanan , Sarah Hormozi , Donald L. Koch

Sand is a highly dissipative system, where the local spatial arrangements and densities depend strongly on the applied forces, resulting in fluid-like or solid-like behaviour. This makes sand swimming challenging and intriguing, raising…

Soft Condensed Matter · Physics 2024-04-23 Inaki Echeverría-Huarte , Margarida M. Telo da Gama , Nuno A. M. Araujo

In a low Reynolds number fluid environment that microswimmers encounter, back-and-forth motion cannot lead to net displacement. In mammalian sperm, the mechanical wave propagating along their single flagellum breaks the cancellation between…

Fish schools are capable of simultaneous linear acceleration. To reveal the underlying hydrodynamic mechanism, we numerically investigate how Reynolds number $ Re = 1000 - 2000 $, Strouhal number $ St = 0.2 - 0.7 $ and wavelength $ \lambda…

A quantitative description of the flagellar dynamics in the procyclic T. brucei is presented in terms of stationary oscillations and traveling waves. By using digital video microscopy to quantify the kinematics of trypanosome flagellar…

Quantitative Methods · Quantitative Biology 2007-05-23 Nathan R. Hutchings , Andrei Ludu

This paper deals with the optimal streaky perturbations (which maximize the perturbed energy growth) in a wedge flow boundary layer. These three dimensional perturbations are governed by a system of linearized boundary layer equations…

Fluid Dynamics · Physics 2015-05-20 Jose J. Sanchez-Alvarez , Maria Higuera , Jose M. Vega

Several micro-organisms, such as bacteria, algae, or spermatozoa, use flagella or cilia to swim in a fluid, while many other micro-organisms instead use ample shape deformation, described as amoeboid, to propel themselves by either crawling…

Biological Physics · Physics 2016-09-19 Hao Wu , A. Farutin , W. -F. Hu , M. Thiébaud , S. Rafaï , P. Peyla , M. -C. Lai , C. Misbah

In a classic paper, Edward Purcell analysed the dynamics of flagellated bacterial swimmers and derived a geometrical relationship which optimizes the propulsion efficiency. Experimental measurements for wild-type bacterial species E. coli…

Biological Physics · Physics 2020-01-08 Praneet Prakash , Amith Z. Abdulla , Varsha Singh , Manoj Varma

The ability of microswimmers to deploy optimal propulsion strategies is of paramount importance for their locomotory performance and survival at low Reynolds numbers. Although for perfectly spherical swimmers minimum dissipation requires a…

Fluid Dynamics · Physics 2021-07-13 Abdallah Daddi-Moussa-Ider , Babak Nasouri , Andrej Vilfan , Ramin Golestanian

The dynamic resistance of a sphere with a general inhomogeneous slip boundary condition is analysed in Newtonian unbounded uniform flow at low Reynolds number. The boundary condition is treated as a perturbation to a homogeneous sphere,…

Fluid Dynamics · Physics 2009-11-13 Geoff Willmott

Swimming of microorganisms is further developed from a viewpoint of strings and membranes swimming in the incompressible fluid of low Reynolds number. In our previous paper the flagellated motion was analyzed in two dimensional fluid, by…

High Energy Physics - Theory · Physics 2007-05-23 Masako Kawamura , Akio Sugamoto , Shin'ichi Nojiri

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…

Studies of model microswimmers have significantly contributed to the understanding of the principles of self-propulsion we have today. However, only a small number of microswimmer types have been amenable to analytic modeling, and further…

Soft Condensed Matter · Physics 2021-02-10 Sebastian Ziegler , Maxime Hubert , Nicolas Vandewalle , Jens Harting , Ana-Sunčana-Smith

We propose a plasma experiment to be used to investigate fundamental properties of astrophysical dynamos. The highly conducting, fast-flowing plasma will allow experimenters to explore systems with magnetic Reynolds numbers an order of…

Plasma Physics · Physics 2015-05-13 E. J. Spence , K. Reuter , C. B. Forest

A simple nonholonomic dynamics model is developed as a low-order model for generating undulatory swim-like motions, validated through computational fluid dynamics (CFD) simulations. The rigid-body-dynamics model generates swimming motion by…

Fluid Dynamics · Physics 2025-11-27 Jamal Ardister , James Geddes , Brian F. Feeny , Junlin Yuan

Traditional locomotion strategies become ineffective at low Reynolds numbers, where viscous forces predominate over inertial forces. To adapt, microorganisms have evolved specialized structures like cilia and flagella for efficient…

Robotics · Computer Science 2024-12-10 Nnamdi C. Chikere , Sofia Lozano Voticky , Quang D. Tran , Yasemin Ozkan-Aydin

A design for a pump is suggested which is based on well-known peristaltic pumps. In order to simply describe the operation of the proposed pump, an innovative interpretation of low Reynolds number swimmers is presented and thereafter a…

Soft Condensed Matter · Physics 2013-08-06 Farnoush Farahpour , Mohammad Reza Ejtehadi

Eukaryotic swimming cells such as spermatozoa, algae or protozoa use flagella or cilia to move in viscous fluids. The motion of their flexible appendages in the surrounding fluid induces propulsive forces that balance with the viscous drag…

Soft Condensed Matter · Physics 2023-10-06 Maciej Lisicki , Marcos F. Velho Rodrigues , Eric Lauga