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Related papers: Swimming efficiency in a shear-thinning fluid

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Particle motion in non-Newtonian fluids can be markedly different than in Newtonian fluids. Here we look at the change in dynamics for a few problems involving rigid spherical particles in shear-thinning fluids in the absence of inertia. We…

Fluid Dynamics · Physics 2018-02-27 Charu Datt , Gwynn J. Elfring

Saving energy and enhancing performance are secular preoccupations shared by both nature and human beings. In animal locomotion, flapping flyers or swimmers rely on the flexibility of their wings or body to passively increase their…

Biological Physics · Physics 2011-08-30 Sophie Ramananarivo , Ramiro Godoy-Diana , Benjamin Thiria

A body immersed in a highly viscous fluid can locomote by drawing in and expelling fluid through pores at its surface. We consider this mechanism of jet propulsion without inertia in the case of spheroidal bodies, and derive both the…

Fluid Dynamics · Physics 2015-04-10 Saverio E. Spagnolie , Eric Lauga

Swimming, i.e., being able to advance in the absence of external forces by performing cyclic shape changes, is particularly demanding at low Reynolds numbers which is the regime of interest for micro-organisms and micro-robots. We focus on…

Optimization and Control · Mathematics 2012-10-04 François Alouges , Laetitia Giraldi

Contrasting the well explored problem on how to steer a macroscopic agent like an airplane or a moon lander to optimally reach a target, "optimal microswimming", i.e. the quest for the optimal navigation strategy for microswimmers, remains…

Fluid Dynamics · Physics 2022-05-10 Abdallah Daddi-Moussa-Ider , Hartmut Löwen , Benno Liebchen

With the continuing rapid development of artificial microrobots and active particles, questions of microswimmer guidance and control are becoming ever more relevant and prevalent. In both the applications and theoretical study of such…

Soft Condensed Matter · Physics 2021-06-03 Clément Moreau , Kenta Ishimoto , Eamonn A. Gaffney , Benjamin J. Walker

Exact solutions for laminar stratified flows of Newtonian/non-Newtonian shear-thinning fluids in horizontal and inclined channels are presented. An iterative algorithm is proposed to compute the laminar solution for the general case of a…

Fluid Dynamics · Physics 2017-06-20 Davide Picchi , Pietro Poesio , Amos Ullmann , Neima Brauner

Optimal gait design is important for micro-organisms and micro-robots that propel themselves in a fluid environment in the absence of external force or torque. The simplest models of shape changes are those that comprise a series of…

Fluid Dynamics · Physics 2019-10-01 Qixuan Wang

Many biological fluids have polymeric microstructures and display non-Newtonian rheology. We take advantage of such nonlinear fluid behavior and combine it with geometrical symmetry-breaking to design a novel small-scale propeller able to…

Fluid Dynamics · Physics 2013-03-05 On Shun Pak , Lailai Zhu , Luca Brandt , Eric Lauga

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

In this article, we consider a swimmer (i.e. a self-deformable body) immersed in a fluid, the flow of which is governed by the stationary Stokes equations. This model is relevant for studying the locomotion of microorganisms or micro robots…

Analysis of PDEs · Mathematics 2012-03-19 Jérôme Lohéac , Alexandre Munnier

Taylor's swimming sheet is a classical model of microscale propulsion and pumping. Many biological fluids and substances are fibrous, having a preferred direction in their microstructure; for example cervical mucus is formed of polymer…

Fluid Dynamics · Physics 2017-03-08 Gemma Cupples , Rosemary J. Dyson , David J. Smith

We study the shear-induced behavior of chiral (circle-swimming) and nonchiral swimmers in a planar channel subjected to Poiseuille (pressure-driven) flow. The swimmers are modeled as active Brownian spheroids, self-propelling with a…

Soft Condensed Matter · Physics 2023-02-17 Mohammad Reza Shabanniya , Amir Abbasi , Arghavan Partovifard , Ali Naji

Fish typically swim by periodic bending of their bodies. Bending seems to follow a universal rule; it occurs at about one-third from the posterior end of the fish body with a maximum bending angle of about $30^o$. However, the hydrodynamic…

Fluid Dynamics · Physics 2021-12-22 Haotian Hang , Sina Heydari , John H. Costello , Eva Kanso

We discuss a locomotion of a three-sphere microswimmer in a viscoelastic medium and propose a new type of active microrheology. We derive a relation which connects average swimming velocity and frequency-dependent viscosity of the…

Soft Condensed Matter · Physics 2017-03-30 Kento Yasuda , Ryuichi Okamoto , Shigeyuki Komura

We propose and analyze a simple model for the evolution of an immersed, inextensible filament which incorporates linear viscoelastic effects of the surrounding fluid. The model is a closed-form system of equations along the curve only which…

Analysis of PDEs · Mathematics 2024-05-21 Laurel Ohm

Swimming at low Reynolds number in Newtonian fluids is only possible through non-reciprocal body deformations due to the kinematic reversibility of the Stokes equations. We consider here a model swimmer consisting of two linked spheres,…

Fluid Dynamics · Physics 2017-04-26 Babak Nasouri , Aditi Khot , Gwynn J. Elfring

Micro-organisms can be classified into three different types according to their size. We study the efficiency of the swimming of micro-organism in two dimensional fluid as a device for helping the explanation of this hierarchy in the size.…

High Energy Physics - Theory · Physics 2009-10-30 Masako Kawamura

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

Microorganisms ofter move in confined, disordered environments, where hydrodynamic couplings can modify their transport behavior. Using extensive finite-element simulations, we investigate the dynamics of microswimmers -- modeled as…

Soft Condensed Matter · Physics 2026-03-24 Mirko Residori , Sebastian Aland , Christina Kurzthaler