Phoretic self-propulsion at finite Péclet numbers

Abstract

Phoretic self-propulsion is a unique example of force- and torque-free motion on small scales. The classical framework describing the flow field around a particle swimming by self-diffusiophoresis neglects the advection of the solute field by the flow and assumes that the chemical interaction layer is thin compared to the particle size. In this paper we quantify and characterize the effect of solute advection on the phoretic swimming of a sphere. We first rigorously derive the regime of validity of the thin-interaction layer assumption at finite values of the Péclet number (Pe). Within this assumption, we solve computationally the flow around Janus phoretic particles and examine the impact of solute advection on propulsion and the flow created by the particle. We demonstrate that although advection always leads to a decrease of the swimming speed and flow stresslet at high values of the Péclet number, an increase can be obtained at intermediate values of Pe. This possible enhancement of swimming depends critically on the nature of the chemical interactions between the solute and the surface. We then derive an asymptotic analysis of the problem at small Pe allowing to rationalize our computational results. Our computational and theoretical analysis is accompanied by a parallel study of the role of reactive effects at the surface of the particle on swimming (Damköhler number).

27 pages, 15 figures, to appear in J. Fluid Mech

References in corpus (15)

• The hydrodynamics of swimming microorganisms
• Self-motile colloidal particles: from directed propulsion to random walk
• Active Motion of Janus Particle by Self-thermophoresis in Defocused Laser Beam
• Propulsion of a molecular machine by asymmetric distribution of reaction--products
• Dynamic clustering in active colloidal suspensions with chemical signaling
• Designing phoretic micro- and nano-swimmers
• Spontaneous autophoretic motion of isotropic particles
• Generic theory of colloidal transport
• Phoretic Motion of Spheroidal Particles Due To Self-Generated Solute Gradients
• Flow pattern in the vicinity of self-propelling hot Janus particles
• Dynamics and efficiency of a self-propelled, diffusiophoretic swimmer
• Optimal feeding is optimal swimming for all Péclet numbers
• Drift instability in the motion of a fluid droplet with a chemically reactive surface driven by Marangoni flow
• Swimming active droplet: A theoretical analysis
• Unsteady feeding and optimal strokes of model ciliates

Cited by in corpus (91)

• Emergent behavior in active colloids
• Computational models for active matter
• Self-propulsion of pure water droplets by spontaneous Marangoni stress driven motion
• Osmosis, from molecular insights to large-scale applications
• 'Fuelled' motion: phoretic motility and collective behaviour of active colloids
• The physics of active polymers and filaments
• Self-Diffusiophoretic Colloidal Propulsion Near a Solid Boundary
• Cross-stream migration of active particles
• Chemistry in Motion: Tiny Synthetic Motors
• Autophoretic locomotion from geometric asymmetry
• Nonlinear dynamics of a chemically-active drop: from steady to chaotic self-propulsion
• Guiding catalytically active particles with chemically patterned surfaces
• Geometric tuning of self-propulsion for Janus catalytic particles
• Enhanced rotational motion of spherical squirmer in polymer solutions
• An active particle in a complex fluid
• Active colloids in the context of chemical kinetics
• Self-propulsion mechanism of active Janus particles in near-critical binary mixtures
• 3-D Printed Swimming Microtori for Cargo Transport and Flow Manipulation
• A bouncing oil droplet in a stratified liquid and its sudden death
• Multiple phoretic mechanisms in the self-propulsion of a Pt-insulator Janus swimmer
• The dynamics of a self-phoretic Janus swimmer near a wall
• Autophoretic motion in three dimensions
• Stresslets induced by active swimmers
• Interactions in Active Colloids
• Pair Interaction of Catalytically Active Colloids: From Assembly to Escape
• Hydrodynamic Mobility Reversal of Squirmers near Flat and Curved Surfaces
• Phoretic and hydrodynamic interactions of weakly-confined autophoretic particles
• Periodic bouncing of a plasmonic bubble in a binary liquid by competing solutal and thermal Marangoni forces
• How walls affect the dynamics of self-phoretic microswimmers
• A regularised singularity approach to phoretic problems
• Near-wall hydrodynamic slip triggers swimming state transition of microorganisms
• Collisions and rebounds of chemically-active droplets
• Force moments of an active particle in a complex fluid
• Geometric pumping in autophoretic channels
• Interaction between catalytic micro motors
• Autophoretic locomotion in weakly viscoelastic fluids at finite Péclet number
• Instabilities driven by diffusio-phoretic flow on catalytic surfaces
• Motion of an active particle in a linear concentration gradient
• Thermodynamics of active matter: Tracking dissipation across scales
• Self-Propelled Colloidal Particle Near a Planar Wall: A Brownian Dynamics Study
• Exact axisymmetric interaction of phoretically active Janus particles
• Axisymmetric spheroidal squirmers and self-diffusiophoretic particles
• Local and global force balance for diffusiophoretic transport
• Artificial chemotaxis of phoretic swimmers: Instantaneous and long-time behaviour
• Phoretic self-propulsion at large Peclet numbers
• Active Stokesian Dynamics
• Modeling chemo-hydrodynamic interactions of phoretic particles: a unified framework
• Frequency-dependent higher-order Stokes singularities near a planar elastic boundary: implications for the hydrodynamics of an active microswimmer near an elastic interface
• Electrophoresis of active Janus particles
• Hydrochemical interactions of phoretic particles: a regularized multipole framework
• Higher-order force moments of active particles
• Two-dimensional diffusiophoretic colloidal banding: Optimizing the spatial and temporal design of solute sinks and sources
• Shape dependent phoretic propulsion of slender active particles
• Can phoretic particles swim in two dimensions?
• Chemically active colloids near osmotic-responsive walls with surface-chemistry gradients
• Surfactant-loaded capsules as Marangoni microswimmers at the air-water interface: Symmetry breaking and spontaneous propulsion by surfactant diffusion and advection
• Thermodynamic Approach to the Self-Diffusiophoresis of Colloidal Janus Particles
• Dynamics of forced and unforced autophoretic particles
• Pumping and mixing in active pores
• Theoretical modeling of catalytic self-propulsion
• Active spheres induce Marangoni flows that drive collective dynamics
• Hydro-chemical interactions in dilute phoretic suspensions: from individual particle properties to collective organization
• Slender Phoretic Theory of chemically active filaments
• Non-Newtonian effects on the slip and mobility of a self-propelling active particle
• From diffusive mass transfer in Stokes flow to low Reynolds number Marangoni boats
• Stochastic dynamics of dissolving active particles
• Self-propulsion in 2D Confinement: Phoretic and Hydrodynamic Interactions
• Diffusiophoretic propulsion of an isotropic active colloidal particle near a finite-sized disk embedded in a planar fluid-fluid interface
• Self-diffusiophoretic propulsion of a spheroidal particle in a shear-thinning fluid
• Spontaneous onset of convection in a uniform phoretic channel
• Spontaneous propulsion of an isotropic colloid in a phase-separating environment
• Collective dynamics and rheology of confined phoretic suspensions
• Phoretic flow induced by asymmetric confinement
• Spontaneous chiralization of polar active colloids
• Non-Brownian diffusion and chaotic rheology of autophoretic disks
• A Reduced Model for a Phoretic Swimmer
• Janus microswimmers are poor hydrodynamic mixers
• Load response of shape-changing microswimmers scales with their energy efficiency
• Self-organization of active colloids mediated by chemical interactions
• Hydrodynamic Stokes flow induced by a chemically active patch imprinted on a planar wall
• Turning catalytically active pores into active pumps
• Ionic self-phoresis maps onto correlation-induced self-phoresis
• Conditions for the propulsion of a colloid surrounded by a mesoscale phase separation
• Diffusioosmotic corner flows
• Nonequilibrium dynamical structure of a dilute suspension of active particles in a viscoelastic fluid
• Self-chemophoresis in the thin diffuse interface approximation
• A numerical framework for phoretic particles
• Effective flows across diffusio-phoretic membranes
• Onsager reciprocal relations and chemo-mechanical coupling for chemically-active colloids
• Autophoresis of a Janus particle near a planar wall: a lubrication limit
• The stress tensor of dilute active colloidal suspensions