### Abstract

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.

Original language | English |
---|---|

Article number | 084003 |

Journal | Journal of the Physical Society of Japan |

Volume | 82 |

Issue number | 8 |

DOIs | |

Publication status | Published - 2013 Aug |

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### Keywords

- Colloid dynamics
- Model H
- Time-dependent Ginzburg-Landau equation
- Two-component fluid
- Wetting

### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Cite this

*Journal of the Physical Society of Japan*,

*82*(8), [084003]. https://doi.org/10.7566/JPSJ.82.084003

**Drag coefficient of a rigid spherical particle in a near-critical binary fluid mixture.** / Okamoto, Ryuichi; Fujitani, Youhei; Komura, Shigeyuki.

Research output: Contribution to journal › Article

*Journal of the Physical Society of Japan*, vol. 82, no. 8, 084003. https://doi.org/10.7566/JPSJ.82.084003

}

TY - JOUR

T1 - Drag coefficient of a rigid spherical particle in a near-critical binary fluid mixture

AU - Okamoto, Ryuichi

AU - Fujitani, Youhei

AU - Komura, Shigeyuki

PY - 2013/8

Y1 - 2013/8

N2 - 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.

AB - 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.

KW - Colloid dynamics

KW - Model H

KW - Time-dependent Ginzburg-Landau equation

KW - Two-component fluid

KW - Wetting

UR - http://www.scopus.com/inward/record.url?scp=84880889326&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84880889326&partnerID=8YFLogxK

U2 - 10.7566/JPSJ.82.084003

DO - 10.7566/JPSJ.82.084003

M3 - Article

AN - SCOPUS:84880889326

VL - 82

JO - Journal of the Physical Society of Japan

JF - Journal of the Physical Society of Japan

SN - 0031-9015

IS - 8

M1 - 084003

ER -