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Anisotropic scaling lengths of colloidal monolayers near a water–air interface

Published online by Cambridge University Press:  20 October 2020

Na Li Open the ORCID record for Na Li [Opens in a new window] ,
Wei Zhang ,
Zehui Jiang  and
Wei Chen
Na Li*
Affiliation:
State Key Laboratory of Physics and Department of Physics, Fudan University, Shanghai200433, PR China College of Information and Communication, National University of Defense Technology, Xian, PR China
Wei Zhang
Affiliation:
School of Materials and Physics, China University of Mining and Technology, Xuzhou221116, PR China
Zehui Jiang
Affiliation:
Department of Physics, Harbin Institute of Technology, Harbin150001, PR China
Wei Chen*
Affiliation:
State Key Laboratory of Physics and Department of Physics, Fudan University, Shanghai200433, PR China
*
†Email addresses for correspondence: phchenwei@fudan.edu.cn, lina919@yeah.net
†Email addresses for correspondence: phchenwei@fudan.edu.cn, lina919@yeah.net
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Abstract

Near-interface colloidal monolayers are often used as model systems for research on hydrodynamics in biophysics systems and in the chemical industry. Using microrheological methods, the correlated diffusion of particles is experimentally measured in colloidal monolayers near a water–air interface. The results show that the scaling lengths $({\chi _{||}},{\chi _ \bot })$ of such colloidal monolayers are anisotropic in two orthogonal directions within the monolayer, which are parallel and perpendicular to the line connecting the centres of a particle pair. The former $({\chi _{||}})$ is the Saffman length of the monolayer, while the latter $({\chi _ \bot })$ is a function of both the Saffman length and the radius of the colloids. The size of the colloids is involved in ${\chi _ \bot }$ but not ${\chi _{||}}$, which reflects the discrete nature of the monolayer in the transverse direction and the continuous nature of the monolayer in the longitudinal direction. From the scaling lengths, the viscosities of the colloidal monolayers are obtained, which agree with those obtained from the single-particle diffusion coefficients. The influence of the boundary condition imposed by the nearby interface on the hydrodynamic interactions is in a power-law behaviour of the distance z.

JFM classification

Complex Fluids: Colloids Interfacial Flows (free surface): Thin films Micro-/Nano-fluid dynamics: Microfluidics
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 905 , 25 December 2020 , A3
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Copyright
© The Author(s), 2020. Published by Cambridge University Press

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