Swimming efficiency in a shear-thinning fluid

Nganguia, Herve; Pietrzyk, Kyle; Pak, On Shun

doi:10.1103/physreve.96.062606

Cited by 22 publications

(32 citation statements)

References 41 publications

(99 reference statements)

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“…2015; Nganguia et al. 2017) We use quadrature to calculate the power dissipation from (4.8) for a wide range of in the small limit. Figure 5( a ) displays results from the asymptotic analysis and numerical simulations, which both show that the power dissipation decreases with in general.…”

Section: Resultsmentioning

confidence: 99%

“…2015; Nganguia et al. 2017) as The zeroth-order (Newtonian) value is given by Keller & Wu (1977) as , and the first-order correction is calculated with asymptotic expansions of and . The expansion of the towing power is given by which involves expansions of the swimming velocity and towing force , where the first-order corrections to both quantities are again determined by the reciprocal theorem (Datt et al.…”

Section: Resultsmentioning

confidence: 99%

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The effect of particle geometry on squirming through a shear-thinning fluid

et al. 2022

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Biological and artificial microswimmers often encounter fluid media with non-Newtonian rheological properties. In particular, many biological fluids such as blood and mucus are shear-thinning. Recent studies have demonstrated how shear-thinning rheology can impact substantially the propulsion performance in different manners. In this work, we examine the effect of geometrical shape upon locomotion in a shear-thinning fluid using a prolate spheroidal squirmer model. We use a combination of asymptotic analysis and numerical simulations to quantify how particle geometry impacts the speed and the energetic cost of swimming. The results demonstrate the advantages of spheroidal over spherical swimmers in terms of both swimming speed and energetic efficiency when squirming through a shear-thinning fluid. More generally, the findings suggest the possibility of tuning the swimmer geometry to better exploit non-Newtonian rheological behaviours for more effective locomotion in complex fluids.

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Section: Resultsmentioning

confidence: 99%

Section: Resultsmentioning

confidence: 99%

The effect of particle geometry on squirming through a shear-thinning fluid

et al. 2022

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“…The latter are driven by prescribed tangential velocities at their (spherical or ellipsoidal) surfaces and were introduced to model microorganisms that self-propel by the beating of cilia covering their bodies [31][32][33]166 . The squirmer model has been previously used to address, e.g., the hydrodynamic interaction between two swimmers 167,168 , the influence of an imposed external flow field on the swimming behavior 169,170 , or low-Reynolds-number locomotion in complex fluids [171][172][173][174] .…”

Section: Force Dipolementioning

confidence: 99%

Frequency-dependent higher-order Stokes singularities near a planar elastic boundary: Implications for the hydrodynamics of an active microswimmer near an elastic interface

et al. 2019

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The emerging field of self-driven active particles in fluid environments has recently created significant interest in the biophysics and bioengineering communities owing to their promising future biomedical and technological applications. These microswimmers move autonomously through aqueous media where under realistic situations they encounter a plethora of external stimuli and confining surfaces with peculiar elastic properties. Based on a farfield hydrodynamic model, we present an analytical theory to describe the physical interaction and hydrodynamic couplings between a self-propelled active microswimmer and an elastic interface that features resistance toward shear and bending. We model the active agent as a superposition of higher-order Stokes singularities and elucidate the associated translational and rotational velocities induced by the nearby elastic boundary. Our results show that the velocities can be decomposed in shear and bending related contributions which approach the velocities of active agents close to a no-slip rigid wall in the steady limit. The transient dynamics predict that contributions to the velocities of the microswimmer due to bending resistance are generally more pronounced than to shear resistance. Bending can enhance (suppress) the velocities resulting from higher-order singularities whereas the shear-related contribution decreases (increases) the velocities. Most prominently, we find that near an elastic interface of only energetic resistance toward shear deformation, such as that of an elastic capsule designed for drug delivery, a swimming bacterium undergoes rotation of the same sense as observed near a no-slip wall. In contrast to that, near an interface of only energetic resistance toward bending, such as that of a fluid vesicle or liposome, we find a reversed sense of rotation. Our results provide insight into the control and guidance of artificial and synthetic self-propelling active microswimmers near elastic confinements. arXiv:1907.09389v2 [physics.flu-dyn]

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“…constitutive laws to capture effects such as viscoelasticity [12][13][14][15][16][17], shear-thinning [18,19] or yield stress [20] and assess how rheology of the fluid affects swimmer motion. The resulting changes can often be non-trivial and can depend strongly on the swimmer's stroke, as well as its ability to deform in response to stress.…”

Section: Introductionmentioning

confidence: 99%

“…The trapping of small particles, cells, and viruses by mucus plays a crucial role in disease prevention, but also presents a physical barrier in drug delivery [11].The immersed filaments or particles affect the rheological properties of the surrounding fluid, and/or create a porous environment through which the fluid must flow. As a result, many modelling studies employ non-Newtonian constitutive laws to capture effects such as viscoelasticity [12,13,14,15,16,17], shear-thinning [18,19], or yield stress [20] and assess how rheology of the fluid affects swimmer motion. The resulting changes can often be non-trivial and can depend strongly on the swimmer's stroke, as well as its ability to deform in response to stress.…”

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confidence: 99%

Enhanced locomotion, effective diffusion and trapping of undulatory micro-swimmers in heterogeneous environments

Kamal

Keaveny

2018

J. R. Soc. Interface.

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Swimming cells and microorganisms must often move through complex fluids that contain an immersed microstructure such as polymer molecules or filaments. In many important biological processes, such as mammalian reproduction and bacterial infection, the size of the immersed microstructure is comparable to that of the swimming cells. This leads to discrete swimmer–microstructure interactions that alter the swimmer’s path and speed. In this paper, we use a combination of detailed simulation and data-driven stochastic models to examine the motion of a planar undulatory swimmer in an environment of spherical obstacles tethered via linear springs to random points in the plane of locomotion. We find that, depending on environmental parameters, the interactions with the obstacles can enhance swimming speeds or prevent the swimmer from moving at all. We also show how the discrete interactions produce translational and angular velocity fluctuations that over time lead to diffusive behaviour primarily due to the coupling of swimming and rotational diffusion. Our results demonstrate that direct swimmer–microstructure interactions can produce changes in swimmer motion that may have important implications for the spreading of cell populations in or the trapping of harmful pathogens by complex fluids.

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Swimming efficiency in a shear-thinning fluid

Cited by 22 publications

References 41 publications

The effect of particle geometry on squirming through a shear-thinning fluid

The effect of particle geometry on squirming through a shear-thinning fluid

Frequency-dependent higher-order Stokes singularities near a planar elastic boundary: Implications for the hydrodynamics of an active microswimmer near an elastic interface

Enhanced locomotion, effective diffusion and trapping of undulatory micro-swimmers in heterogeneous environments

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