Hydrochemical interactions of phoretic particles: A regularized multipole framework

Título traducido de la contribución: Interacciones hidroquímicas de partículas foréticas:: un marco multipolar regularizado

Francisco Rojas-Pérez, Blaise Delmotte, Sébastien Michelin

Producción científica: Contribución a una revistaArtículorevisión exhaustiva

16 Citas (Scopus)

Resumen

Chemically active colloids modify the concentration of chemical solutes surrounding them in order to self-propel. In doing so, they generate long-ranged hydrodynamic flows and chemical gradients that modify the trajectories of other particles. As a result, the dynamics of reactive suspensions is fundamentally governed by hydro-chemical interactions. A full solution of the detailed hydro-chemical problem with many particles is challenging and computationally expensive. Most current methods rely on the Green's functions of the Laplace and Stokes operators to approximate the particle signatures in the far field, an approach which is only valid in the very dilute limit in simple geometries. To overcome these limitations, we propose a regularized multipole framework, directly inspired by the force coupling method (FCM), to model phoretic suspensions. Our approach, called diffusio-phoretic FCM (DFCM), relies on grid-based volume averages of the concentration field to compute the particle surface concentration moments. These moments define the chemical multipoles of the diffusion (Laplace) problem and provide the swimming forcing of the Stokes equations. Unlike far-field models based on singularity superposition, DFCM accounts for mutually induced dipoles. The accuracy of the method is evaluated against exact and accurate numerical solutions for a few canonical cases. We also quantify its improvements over far-field approximations for a wide range of inter-particle distances. The resulting framework can readily be implemented into efficient solvers, allowing for large scale simulations of semi-dilute diffusio-phoretic suspensions.

Título traducido de la contribuciónInteracciones hidroquímicas de partículas foréticas:: un marco multipolar regularizado
Idioma originalInglés
Número de artículoA22
PublicaciónJournal of Fluid Mechanics
Volumen919
DOI
EstadoPublicada - 2021

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