Drag Coefficient of a Rigid Spherical Particle in a Near-Critical Binary Fluid Mixture

See also "How Does Wetting in a Near-Critical Binary Fluid Affect Stokes Drag?"

Jun-ichi Fukuda

JPSJ News Comments 10, 15 (2013).

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Ryuichi Okamoto¹, Youhei Fujitani², and Shigeyuki Komura³

+ Affiliations

¹Fukui Institute for Fundamental Chemistry, Kyoto University, Kyoto 606-8103, Japan²School of Fundamental Science and Technology, Keio University, Yokohama 223-8522, Japan³Department of Chemistry, Tokyo Metropolitan University, Hachioji, Tokyo 192-0397, Japan

Received February 1, 2013; Accepted June 3, 2013; Published July 22, 2013

We calculate the drag coefficient of a rigid spherical particle in an incompressible binary fluid mixture. A weak preferential attraction is assumed between the particle surface and one of the fluid components, and the difference in the viscosity between the two components is neglected. Using the Gaussian free-energy functional and solving the hydrodynamic equation explicitly, we can show that the preferential attraction makes the drag coefficient larger as the bulk correlation length becomes longer. The dependence of the deviation from the Stokes law on the correlation length, when it is short, turns out to be much steeper than the previous estimates.

This article is published by the Physical Society of Japan under the terms of the Creative Commons Attribution 4.0 License. Any further distribution of this work must maintain attribution to the author(s) and the title of the article, journal citation, and DOI.

https://doi.org/10.7566/JPSJ.82.084003

KEYWORDS: colloid dynamics, wetting, two-component fluid, time-dependent Ginzburg–Landau equation, model H

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Drag Coefficient of a Rigid Spherical Particle in a Near-Critical Binary Fluid Mixture

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