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Anisotropic viscous drag is usually believed to be a requirement for the low Reynolds number locomotion of slender bodies such as flagella and cilia. Here we show that locomotion under isotropic drag is possible for extensible slender…

Fluid Dynamics · Physics 2015-05-30 On Shun Pak , Eric Lauga

Undulatory slender objects have been a central theme in the hydrodynamics of swimming at low Reynolds number, where the slender body is usually assumed to be inextensible, although some microorganisms and artificial microrobots largely…

Fluid Dynamics · Physics 2025-11-10 Kenta Ishimoto , Johann Herault , Clément Moreau

Dynamic organization of the cytoskeletal filaments and rod-like proteins in the cell membrane and other biological interfaces occurs in many cellular processes. Previous modeling studies have considered the dynamics of a single rod on fluid…

Fluid Dynamics · Physics 2022-06-17 Wenzheng Shi , Moslem Moradi , Ehssan Nazockdast

Motivated by the swimming of sperm in the non-Newtonian fluids of the female mammalian reproductive tract, we examine the swimming of filaments in the nonlinear viscoelastic Upper Convected Maxwell model. We obtain the swimming velocity and…

Soft Condensed Matter · Physics 2009-11-13 Henry C. Fu , Thomas R. Powers , Charles W. Wolgemuth

Flexible filaments moving in viscous fluids are ubiquitous in the natural microscopic world. For example, the swimming of bacteria and spermatozoa as well as important physiological functions at organ-level, such as the cilia-induced motion…

Soft Condensed Matter · Physics 2019-06-05 Panayiota Katsamba , Eric Lauga

We investigate the motion of active semiflexible filament with shape kinematics and hydrodynamic interaction including. Three types of filament motion are found: Translation, snaking and rotation. Change of flexibility will induce…

Soft Condensed Matter · Physics 2012-10-24 Huijun Jiang , Zhonghuai Hou

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

It has been known for some time that some microorganisms can swim faster in high-viscosity gel-forming polymer solutions. These gel-like media come to mimic highly viscous heterogeneous environment that these microorganisms encounter…

Fluid Dynamics · Physics 2009-11-29 A. M. Leshansky

Dynamics at low Reynolds numbers experiences recent revival in the fields of biophysics and active matter. While in bulk isotropic fluids it is exhaustively studied, this is less so in anisotropic fluids and in confined situations. Here, we…

Soft Condensed Matter · Physics 2026-01-21 Abdallah Daddi-Moussa-Ider , Elsen Tjhung , Marc Pradas , Thomas Richter , Andreas M. Menzel

Motivated by bacterial transport through porous media, here we study the swimming of an actuated, flexible helical filament in both three-dimensional free space and within a cylindrical tube whose diameter is much smaller than the length of…

Soft Condensed Matter · Physics 2019-03-28 John LaGrone , Ricardo Cortez , Lisa Fauci

Many cells exploit the bending or rotation of flagellar filaments in order to self-propel in viscous fluids. While appropriate theoretical modelling is available to capture flagella locomotion in simple, Newtonian fluids, formidable…

Biological Physics · Physics 2017-08-02 Emily E. Riley , Eric Lauga

In isotropic fluids like water, micrometer-scale swimmers have evolved swim strokes to translate despite their tiny size. As described by Purcell in his Scallop Theorem, reciprocal motions, like those performed by a scallop, cannot drive…

In their search for metabolic resources microbes swim through viscous environments that present physical anisotropies, including steric obstacles across a wide range of sizes. Hydrodynamic forces are known to significantly alter swimmer…

Soft Condensed Matter · Physics 2020-07-03 Kentaro Hoeger , Tristan Ursell

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

Slender objects are commonplace in microscale flow problems, from soft deformable sensors to biological filaments such as flagella and cilia. Whilst much research has focussed on the local translational motion of these slender bodies,…

Fluid Dynamics · Physics 2023-03-03 Benjamin J. Walker , Kenta Ishimoto , Eamonn A. Gaffney

Many microorganisms swim through gels and non-Newtonian fluids in their natural environments. In this paper, we focus on microorganisms which use flagella for propulsion. We address how swimming velocities are affected in nonlinearly…

Biological Physics · Physics 2010-04-07 Henry C. Fu , Charles W. Wolgemuth , Thomas R. Powers

Cell motility in viscous fluids is ubiquitous and affects many biological processes, including reproduction, infection, and the marine life ecosystem. Here we review the biophysical and mechanical principles of locomotion at the small…

Soft Condensed Matter · Physics 2009-09-16 Eric Lauga , Thomas R. Powers

In the absence of inertia, a reciprocal swimmer achieves no net motion in a viscous Newtonian fluid. Here, we investigate the ability of a reciprocally actuated particle to translate through a complex fluid that possesses a network using…

Fluid Dynamics · Physics 2015-06-18 David A. Gagnon , Nathan C. Keim , Xiaoning Shen , Paulo E. Arratia

Many of the cell membrane vital functions are achieved by the self-organization of the proteins and biopolymers embedded in it. The protein dynamics are in part determined by its drag. A large number of these proteins can polymerize to form…

Fluid Dynamics · Physics 2023-09-13 Wenzheng Shi , Moslem Moradi , Ehssan Nazockdast

The swimming behavior of bacteria and other microorganisms is sensitive to the physical properties of the fluid in which they swim. Mucus, biofilms, and artificial liquid-crystalline solutions are all examples of fluids with some degree of…

Soft Condensed Matter · Physics 2014-12-17 Madison S. Krieger , Saverio E. Spagnolie , Thomas R. Powers
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