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Interactions between microorganisms and their complex flowing environments are essential in many biological systems. We develop a model for microswimmer dynamics in non-Newtonian Poiseuille flows. We predict that swimmers in…

Soft Condensed Matter · Physics 2016-07-14 Arnold J. T. M. Mathijssen , Tyler N. Shendruk , Julia M. Yeomans , Amin Doostmohammadi

Many bacteria live in natural and clinical environments with abundant macromolecular polymers. Macromolecular fluids commonly display viscoelasticity and non-Newtonian rheological behavior; it is unclear how these complex-fluid properties…

Soft Condensed Matter · Physics 2024-08-27 Ding Cao , Ran Tao , Albane Théry , Song Liu , Arnold J. T. M. Mathijssen , Yilin Wu

In a world without inertia, Purcell's scallop theorem states that in a Newtonian fluid a time-reversible motion cannot produce any net force or net flow. Here we consider the extent to which the nonlinear rheological behavior of…

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

Swimming at small Reynolds number of a linear assembly of identical spheres immersed in a viscous fluid is studied on the basis of a set of equations of motion for the individual spheres. The motion of the spheres is caused by actuating…

Fluid Dynamics · Physics 2016-10-20 B. U. Felderhof

Purcell's scallop theorem defines the type of motions of a solid body - reciprocal motions - which cannot propel the body in a viscous fluid with zero Reynolds number. For example, the flapping of a wing is reciprocal and, as was recently…

Soft Condensed Matter · Physics 2008-10-02 Eric Lauga

Any swimmer embedded on a inertialess fluid must perform a non-reciprocal motion to swim forward. The archetypal demonstration of this unique motion-constraint was introduced by Purcell with the so-called "scallop theorem". Scallop here is…

Optimization and Control · Mathematics 2021-11-29 Marta Zoppello , Marco Morandotti , Hermes Bloomfield-Gadêlha

Swimming microorganisms often self propel in fluids with complex rheology. While past theoretical work indicates that fluid viscoelasticity should hinder their locomotion, recent experiments on waving swimmers suggest a possible…

Biological Physics · Physics 2014-11-25 Emily E. Riley , Eric Lauga

We review recent work on active colloids or swimmers, such as self-propelled microorganisms, phoretic colloidal particles, and artificial micro-robotic systems, moving in fluid-like environments. These environments can be water-like and…

Biological Physics · Physics 2016-02-09 Alison E. Patteson , Arvind Gopinath , Paulo E. Arratia

Recent research has shown that motile cells can adapt their mode of propulsion depending on the environment in which they find themselves. One mode is swimming by blebbing or other shape changes, and in this paper we analyze a class of…

Fluid Dynamics · Physics 2016-10-10 Qixuan Wang , Hans G. Othmer

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

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

Many microorganisms live and evolve in complex fluids. Examples include mammalian spermatozoa in cervical mucus, worms (e.g., \textit{C. elegans}) in wet soil, and bacteria (e.g., \textit{H. pylori}) in our stomach lining. Due to the…

Fluid Dynamics · Physics 2022-10-21 Paulo E. Arratia

This chapter on the rheology of active fluids is an attempt to correlate theoretical and experimental work. A considerable amount of theoretical work and most of the experimental data focus on the rheology of active fluids in a Newtonian…

Soft Condensed Matter · Physics 2023-04-04 Alfredo Lanzaro , Luigi Gentile

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 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

In biological systems, microswimmers often propel themselves through complex media. However, many aspects of swimming mechanisms in non-Newtonian fluids remain unclear. This study considers the propulsion of two types of single spherical…

Fluid Dynamics · Physics 2024-10-14 Takuya Kobayashi , Ryoichi Yamamoto

Swimming in circles occurs in a variety of situations at low Reynolds number. Here we propose a simple model for a swimmer that undergoes circular motion, generalising the model of a linear swimmer proposed by Najafi and Golestanian (Phys.…

Soft Condensed Matter · Physics 2012-07-16 Rodrigo Ledesma-Aguilar , Hartmut Loewen , Julia M. Yeomans

Motility is a fundamental feature of living matter, encompassing single cells and collective behavior. Such living systems are characterized by non-conservativity of energy and a large diversity of spatio-temporal patterns. Thus,…

Soft Condensed Matter · Physics 2023-10-25 Kenta Ishimoto , Clément Moreau , Kento Yasuda

Both natural and artificial small-scale swimmers may often self-propel in environments subject to complex geometrical constraints. While most past theoretical work on low-Reynolds number locomotion addressed idealised geometrical…

Fluid Dynamics · Physics 2017-11-16 Alexander Chamolly , Takuji Ishikawa , Eric Lauga

Flagella beating in complex fluids are significantly influenced by viscoelastic stresses. Relevant examples include the ciliary transport of respiratory airway mucus and the motion of spermatozoa in the mucus-filled female reproductive…

Soft Condensed Matter · Physics 2008-10-02 Eric Lauga