Flow around a squirmer in a shear-thinning fluid

Swimming with swirl in a viscoelastic fluid

“…2015; Datt & Elfring 2019; Pietrzyk etal. 2019). The general slip velocity for a steady axisymmetric squirmer exhibiting purely tangential deformations is given by Pak & Lauga as (Pak & Lauga 2014) where is the squirmer's radius, is the polar angle () and is the azimuthal angle (); is the first derivative of the Legendre polynomial of degree , where .…”

“…This model has been widely used in the area of biological fluid mechanics to better understand the hydrodynamics of swimming microorganisms (Pedley 2016). It has especially been used to examine the effect that complex fluid rheology has on the swimming dynamics Zhu et al 2011;Li, Karimi & Ardekani 2014;Datt et al 2015Datt et al , 2017De Corato et al 2015;Pietrzyk et al 2019). The general slip velocity for a steady axisymmetric squirmer exhibiting purely tangential deformations is given by Pak & Lauga as (Pak & Lauga 2014)…”

“…Chlamydomonas reinhardtii). Only recently have authors started to consider the effect of higher-order polar squirming modes (Datt et al 2015;De Corato & D'Avino 2017;Pietrzyk et al 2019) or the azimuthal squirming modes (Ghose & Adhikari 2014;Pak & Lauga 2014;Felderhof & Jones 2016;Pedley 2016;Pedley, Brumley & Goldstein 2016). To date, however, no one has considered how the presence of the azimuthal modes of the squirmer model impacts swimming kinematics in a complex fluid.…”

Non-Newtonian effects on the slip and mobility of a self-propelling active particle

“…The origin of these viscoelasticity-triggered extensional flows is currently unknown. Given the recent interest in self-propulsion through complex medium with several open questions in the literature (Datt et al 2017; Natale et al 2017; Pietrzyk et al 2019), it is natural to ask: How does the slip change in complex fluids and what is its relationship to the concentration field?…”

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

“…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] .…”