2017
DOI: 10.1017/jfm.2017.632
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Force moments of an active particle in a complex fluid

Abstract: A generalized reciprocal theorem is formulated for the motion and hydrodynamic force moments of an active particle in an arbitrary background flow of a (weakly nonlinear) complex fluid. This formalism includes as special cases a number of previous calculations of the motion of both passive and active particles in Newtonian and non-Newtonian fluids.

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Cited by 36 publications
(48 citation statements)
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“…where U = [U Ω] is six-dimensional vector comprising rigid-body translational and rotational velocities respectively (we use bold sans serif fonts for six-dimensional vectors and tensors and bold serif for three dimensional ones) [43,44]. The six-dimensional vector F ext = [F ext L ext ] contains any external force and torque acting on the swimmer.…”
Section: B Theory For Swimming In Complex Fluidsmentioning
confidence: 99%
“…where U = [U Ω] is six-dimensional vector comprising rigid-body translational and rotational velocities respectively (we use bold sans serif fonts for six-dimensional vectors and tensors and bold serif for three dimensional ones) [43,44]. The six-dimensional vector F ext = [F ext L ext ] contains any external force and torque acting on the swimmer.…”
Section: B Theory For Swimming In Complex Fluidsmentioning
confidence: 99%
“…where U = [U Ω] is a 6-dimensional vectors containing translational and rotational velocities, likewise F = [F L] represents both force and torque [47]. We consider here a particle that is neutrally buoyant and that no other external force acts on the particle and thus F ext = 0.…”
Section: B Shear-thinning Fluidsmentioning
confidence: 99%
“…We may write for simplicity that velocity is composed of a Newtonian part and a non-Newtonian correction U = U 0 +R −1 F U · F N N . A similar approach has also been used for studying the dynamics of active particles in complex fluids [47][48][49].…”
Section: B Shear-thinning Fluidsmentioning
confidence: 99%
“…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%