On the locomotion of a drop, induced by the internal secretion of surfactant

Tsemakh, Dina; Lavrenteva, Olga M.; Nir, A.

doi:10.1016/j.ijmultiphaseflow.2004.06.005

Cited by 21 publications

(20 citation statements)

References 26 publications

(41 reference statements)

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“…Moreover, the observed in-plane vortex structure is compatible with published reports of Marangoni flows in drops, e.g., in the experiments with a non-uniformly heated sessile drop 31,32 . The dynamic structure is also compatible with model calculations for fluid convection inside pairs of evaporating sessile drops located close to one another 33 , and with self-motile three-dimensional drops with micelle adsorption 34 or with internally secreted surfactants 35 . As expected, we also observe flow in the oil phase near the outside of the drops (see Supplementary Note 1).…”

Section: Resultssupporting

confidence: 67%

Interface-mediated spontaneous symmetry breaking and mutual communication between drops containing chemically active particles

et al. 2020

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Symmetry breaking and the emergence of self-organized patterns is the hallmark of complexity. Here, we demonstrate that a sessile drop, containing titania powder particles with negligible self-propulsion, exhibits a transition to collective motion leading to self-organized flow patterns. This phenomenology emerges through a novel mechanism involving the interplay between the chemical activity of the photocatalytic particles, which induces Marangoni stresses at the liquid-liquid interface, and the geometrical confinement provided by the drop. The response of the interface to the chemical activity of the particles is the source of a significantly amplified hydrodynamic flow within the drop, which moves the particles. Furthermore, in ensembles of such active drops long-ranged ordering of the flow patterns within the drops is observed. We show that the ordering is dictated by a chemical communication between drops, i.e., an alignment of the flow patterns is induced by the gradients of the chemicals emanating from the active particles, rather than by hydrodynamic interactions.

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Section: Resultssupporting

confidence: 67%

Interface-mediated spontaneous symmetry breaking and mutual communication between drops containing chemically active particles

et al. 2020

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“…In addition, a combination of multipole expansion and Faxén's theorem has been used by Zia and collaborators [41,42], providing the elements of the grand mobility tensor of finitesized particles moving inside a rigid spherical cavity. Additional works addressed the low-Reynolds-number locomotion inside a viscous drop [43][44][45], or the dynamics of a particleencapsulating droplet in flow [46,47]. arXiv:1802.00353v2 [physics.flu-dyn] 14 Aug 2018 Despite enormous studies on particle motion inside a rigid cavity or a viscous drop, to the best of our knowledge, no works have been yet conducted to investigate particle motion inside a deformable elastic cavity.…”

Section: Introductionmentioning

confidence: 99%

Creeping motion of a solid particle inside a spherical elastic cavity

2018

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On the basis of the linear hydrodynamic equations, we present an analytical theory for the low-Reynolds-number motion of a solid particle moving inside a larger spherical elastic cavity which can be seen as a model system for a fluid vesicle. In the particular situation where the particle is concentric with the cavity, we use the stream function technique to find exact analytical solutions of the fluid motion equations on both sides of the elastic cavity. In this particular situation, we find that the solution of the hydrodynamic equations is solely determined by membrane shear properties and that bending does not play a role. For an arbitrary position of the solid particle within the spherical cavity, we employ the image solution technique to compute the axisymmetric flow field induced by a point force (Stokeslet). We then obtain analytical expressions of the leading-order mobility function describing the fluid-mediated hydrodynamic interactions between the particle and the confining elastic cavity. In the quasi-steady limit of vanishing frequency, we find that the particle self-mobility function is higher than that predicted inside a rigid no-slip cavity. Considering the cavity motion, we find that the pair-mobility function is determined only by membrane shear properties. Our analytical predictions are supplemented and validated by fully resolved boundary integral simulations where a very good agreement is obtained over the whole range of applied forcing frequencies.

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“…The tangential stress condition at the interface between two fluids states that tangential viscous stresses are in mechanical equilibrium with gradients in surface tension, and thus any imbalance in surface tension leads to a flow [30]. Examples of Marangoni transport include the motion of droplets and bubbles in thermal gradients [18][19][20] and droplets subject to internal releases of surfactant [31].…”

Section: Introductionmentioning

confidence: 99%

Viscous Marangoni propulsion

Lauga

Davis

2011

J. Fluid Mech.

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Marangoni propulsion is a form of locomotion wherein an asymmetric release of surfactant by a body located at the surface of a liquid leads to its directed motion. We present in this paper a mathematical model for Marangoni propulsion in the viscous regime. We consider the case of a thin rigid circular disk placed at the surface of a viscous fluid and whose perimeter has a prescribed concentration of an insoluble surfactant, to which the rest of its surface is impenetrable. Assuming a linearized equation of state between surface tension and surfactant concentration, we derive analytically the surfactant, velocity and pressure fields in the asymptotic limit of low Capillary, Peclet and Reynolds numbers. We then exploit these results to calculate the Marangoni propulsion speed of the disk. Neglecting the stress contribution from Marangoni flows is seen to over-predict the propulsion speed by 50%

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On the locomotion of a drop, induced by the internal secretion of surfactant

Cited by 21 publications

References 26 publications

Interface-mediated spontaneous symmetry breaking and mutual communication between drops containing chemically active particles

Interface-mediated spontaneous symmetry breaking and mutual communication between drops containing chemically active particles

Creeping motion of a solid particle inside a spherical elastic cavity

Viscous Marangoni propulsion

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