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Autophoresis of two adsorbing/desorbing particles in an electrolyte solution

Published online by Cambridge University Press:  20 February 2019

Fan Yang Open the ORCID record for Fan Yang [Opens in a new window] ,
Bhargav Rallabandi Open the ORCID record for Bhargav Rallabandi [Opens in a new window]  and
Howard A. Stone
Fan Yang
Affiliation:
Department of Mechanical and Aerospace Engineering, Princeton University, Princeton, NJ 08544, USA
Bhargav Rallabandi
Affiliation:
Department of Mechanical and Aerospace Engineering, Princeton University, Princeton, NJ 08544, USA
Howard A. Stone*
Affiliation:
Department of Mechanical and Aerospace Engineering, Princeton University, Princeton, NJ 08544, USA
*
†Email address for correspondence: [email protected]
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Abstract

Classical diffusiophoresis describes the motion of particles in an electrolyte or non-electrolyte solution with an imposed concentration gradient. We investigate the autophoresis of two particles in an electrolyte solution where the concentration gradient is produced by either adsorption or desorption of ions at the particle surfaces. We find that when the sorption fluxes are large, the ion concentration near the particle surfaces, and consequently the Debye length, is strongly modified, resulting in a nonlinear dependence of the phoretic speed on the sorption flux. In particular, we show that the phoretic velocity saturates at a finite value for large desorption fluxes, but depends superlinearly on the flux for adsorption fluxes, where both conclusions are in contrast with previous results that predict a linear relationship between autophoretic velocity and sorption flux. Our theory can also be applied to precipitation/dissolution and other surface chemical processes.

JFM classification

Complex Fluids: Colloids
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 865 , 25 April 2019 , pp. 440 - 459
Copyright
© 2019 Cambridge University Press 

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Footnotes

‡

Present address: Department of Mechanical Engineering, University of California, Riverside, CA 92521, USA

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