2015
DOI: 10.1103/physreve.92.053008
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Locomotion of a microorganism in weakly viscoelastic liquids

Abstract: In the present work we study the motion of microorganisms swimming by an axisymmetric distribution of surface tangential velocity in a weakly viscoelastic fluid. The second-order fluid constitutive equation is used to model the suspending fluid, while the well-known "squirmer model" [M. J. Lighthill, Comm. Pure Appl. Math. 5, 109 (1952); J. R. Blake, J. Fluid Mech. 46, 199 (1971)] is employed to describe the organism propulsion mechanism. A regular perturbation expansion up to first order in the Deborah number… Show more

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Cited by 47 publications
(73 citation statements)
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“…We remark that various types of non-Newtonian rheology (viscoelasticity and shear-thinning rheology) can affect the power dissipation of pushers vs. pullers in different manners. The viscoelastic stress was shown to increase (decrease) the power dissipation for a pusher (puller) [43], however the shear-thinning rheology studied here reduces the power dissipation of a pusher and a puller indifferently as shown in Fig. (1) and by Eq.…”
Section: Power Dissipationmentioning
confidence: 68%
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“…We remark that various types of non-Newtonian rheology (viscoelasticity and shear-thinning rheology) can affect the power dissipation of pushers vs. pullers in different manners. The viscoelastic stress was shown to increase (decrease) the power dissipation for a pusher (puller) [43], however the shear-thinning rheology studied here reduces the power dissipation of a pusher and a puller indifferently as shown in Fig. (1) and by Eq.…”
Section: Power Dissipationmentioning
confidence: 68%
“…We also remark that the non-Newtonian correction to efficiency is even in α as shown in Eq. (23), which means that the shear-thinning rheology has exactly the same effect on the swimming efficiency of a pusher and a puller, again in contrast to the influence of viscoelasticity [43].…”
Section: Swimming Efficiencymentioning
confidence: 97%
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“…Besides, an active particle (AP) in a viscoelastic fluid represents an example of a random walker in a nonequilibrium thermal bath, being of fundamental relevance for non-equilibrium statistical physics [21]. Despite holding such immense potential, theoretical studies involving the dynamics of self-propelled particles in complex fluids are rather scarce [22][23][24][25][26][27][28][29][30][31]. Experiments dealing with artificial microswimmers in viscoelastic fluids, demonstrate remarkable differences compared to entirely viscous environments [32,33].…”
Section: Introductionmentioning
confidence: 99%
“…For the fixed kinematics of the organism, this result suggests that viscoelasticity reduces the propulsion speed of a small-amplitude sheet compared to its Newtonian value, reaching for large Deborah numbers the limit βU BN . These conclusions were extended to other swimmers [37][38][39][40][41][42][43][44][45][46][47][48][49][50][51][52] or fluids with different rheological properties [53][54][55][56][57][58], and were used as a motivation for experimental studies [59][60][61][62][63][64][65][66][67].…”
Section: Introductionmentioning
confidence: 99%