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Short-time self-diffusion of nearly hard spheres at an oil–water interface

Published online by Cambridge University Press:  10 January 2009

Y. PENG ,
W. CHEN ,
TH. M. FISCHER ,
D. A. WEITZ  and
P. TONG
Y. PENG
Affiliation:
Department of Physics, Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong Kong
W. CHEN
Affiliation:
Department of Physics, Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong Kong
TH. M. FISCHER
Affiliation:
Institute of Experimental Physics V, University of Bayreuth, 95440 Bayreuth, Germany
D. A. WEITZ
Affiliation:
Department of Physics and School of Engineering and Applied Sciences, Harvard University, Cambridge, MA 02138, USA
P. TONG*
Affiliation:
Department of Physics, Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong Kong
*
†Email address for correspondence: [email protected]
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Abstract

Optical microscopy and multi-particle tracking are used to study hydrodynamic interactions of monodisperse polymethylmethacrylate (PMMA) spheres at a decalin–water interface. The short-time self-diffusion coefficient measured at low surface coverage has the form DSS(n) = αD0(1 − βn), where n is the area fraction occupied by the particles, and D0 is the Stokes–Einstein diffusion coefficient in the bulk suspension of PMMA spheres in decalin. The measured values of α are found to be in good agreement with the numerical calculation for the drag coefficient of interfacial particles. The measured values of β differ from that obtained for bulk suspensions, indicating that hydrodynamic interactions between the particles have interesting new features at the interface.

Type
Papers
Information
Journal of Fluid Mechanics , Volume 618 , 10 January 2009 , pp. 243 - 261
Copyright
Copyright © Cambridge University Press 2008

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