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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

Microorganisms thrive in complex environments and their behavior in fluids holds significant importance for various medical and industrial applications. By conducting Lattice Boltzmann simulations, the transport and rotational properties of…

Soft Condensed Matter · Physics 2025-03-25 Yuan Zhou , Kai Qi , Marco De Corato , Kevin Stratford , Ignacio Pagonabarraga

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

In this paper, we give formulas for the swimming of simplified two-dimensional bodies in complex fluids using the reciprocal theorem. By way of these formulas we calculate the swimming velocity due to small-amplitude deformations on the…

Fluid Dynamics · Physics 2016-04-28 Gwynn J. Elfring , Gaurav Goyal

A number of swimming microorganisms such as ciliates ($\textit{Opalina}$) and multicellular colonies of flagellates ($\textit{Volvox}$) are approximately spherical in shape and swim using beating arrays of cilia or short flagella covering…

Fluid Dynamics · Physics 2014-02-06 On Shun Pak , Eric Lauga

The locomotion of swimming bacteria in simple Newtonian fluids can successfully be described within the framework of low Reynolds number hydrodynamics. The presence of polymers in biofluids generally increases the viscosity, which is…

Soft Condensed Matter · Physics 2019-08-12 Andreas Zöttl , Julia M. Yeomans

Many microorganisms find themselves immersed in fluids displaying non-Newtonian rheological properties such as viscoelasticity and shear-thinning viscosity. The effects of viscoelasticity on swimming at low Reynolds numbers have already…

Fluid Dynamics · Physics 2015-11-10 Charu Datt , Lailai Zhu , Gwynn J. Elfring , On Shun Pak

Locomotion and transport of microorganisms in fluids is an essential aspect of life. Search for food, orientation toward light, spreading of off-spring, and the formation of colonies are only possible due to locomotion. Swimming at the…

Biological Physics · Physics 2015-05-26 Jens Elgeti , Roland G. Winkler , Gerhard Gompper

In this article, we are interested in studying locomotion strategies for a class of shape-changing bodies swimming in a fluid. This class consists of swimmers subject to a particular linear dynamics, which includes the two most investigated…

Mathematical Physics · Physics 2010-08-09 Alexandre Munnier , Thomas Chambrion

Swimming microorganisms often have to propel in complex, non-Newtonian fluids. We carry out experiments with self-propelling helical swimmers driven by an externally rotating magnetic field in shear-thinning, inelastic fluids. Similarly to…

Fluid Dynamics · Physics 2017-03-08 Saul Gomez , Francisco Godinez , Eric Lauga , Roberto Zenit

Small-scale locomotion plays an important role in biology. Different modelling approaches have been proposed in the past. The simplest model is an infinite inextensible two-dimensional waving sheet, {originally introduced by Taylor}, which…

Fluid Dynamics · Physics 2010-04-09 On Shun Pak , Eric Lauga

Biological organisms swimming at low Reynolds number are often influenced by the presence of rigid boundaries and soft interfaces. In this paper we present an analysis of locomotion near a free surface with surface tension. Using a…

Fluid Dynamics · Physics 2015-03-13 Darren Crowdy , Sungyon Lee , Ophir Samson , Eric Lauga , A. E. Hosoi

The propulsion of mammalian spermatozoa relies on the spontaneous periodic oscillation of their flagella. These oscillations are driven internally by the coordinated action of ATP-powered dynein motors that exert sliding forces between…

Fluid Dynamics · Physics 2022-10-13 Chenji Li , Brato Chakrabarti , Pedro Castilla , Achal Mahajan , David Saintillan

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

Most classical work on the hydrodynamics of low-Reynolds-number swimming addresses deterministic locomotion in quiescent environments. Thermal fluctuations in fluids are known to lead to a Brownian loss of the swimming direction. As most…

Fluid Dynamics · Physics 2014-06-18 Mario Sandoval , Navaneeth K. M. , Ganesh Subramanian , Eric Lauga

The habitat of microorganisms is typically complex and viscoelastic. A natural question arises: Do polymers in a suspension of active swimmers enhance chaotic motion or promote orientational order? We address this issue by performing…

Soft Condensed Matter · Physics 2025-12-23 Yuan Zhou , Qingzhi Zou , Ignacio Pagonabarraga , Kaihuan Zhang , Kai Qi

In this paper we study the locomotion of a shape-changing body swimming in a two-dimensional perfect fluid of infinite extent. The shape-changes are prescribed as functions of time satisfying constraints ensuring that they result from the…

Optimization and Control · Mathematics 2009-10-29 Thomas Chambrion , Alexandre Munnier

The hydrodynamic flow field generated by self-propelled active particles and swimming microorganisms is strongly altered by the presence of nearby boundaries in a viscous flow. Using a simple model three-linked sphere swimmer, we show that…

Fluid Dynamics · Physics 2018-04-18 Abdallah Daddi-Moussa-Ider , Maciej Lisicki , Christian Hoell , Hartmut Löwen

The swimming of a spheroid immersed in a viscous fluid and performing surface deformations periodically in time is studied on the basis of Stokes equations of low Reynolds number hydrodynamics. The average over a period of time of the…

Fluid Dynamics · Physics 2016-11-23 B. U. Felderhof

Biological microswimmers such as bacteria and sperm cells often encounter complex biological fluid environments. Here we use the well-known squirmer microswimmer model to show the importance of the local fluid microstructure and…

Soft Condensed Matter · Physics 2023-07-19 Andreas Zöttl