The slip boundary condition in the dynamics of solid particles immersed in Stokesian flows

Huan Sun; Chun Liu

doi:10.1016/j.ssc.2010.01.017

The slip boundary condition in the dynamics of solid particles immersed in Stokesian flows

Huan Sun
, Chun Liu

Research output: Contribution to journal › Article › peer-review

16 Scopus citations

Abstract

This paper reviews the classical theories of the dynamics of solid particles in a viscous flow via traditional Navier-Stokes/Stokes equations with slip or nonslip boundary conditions, and also studies a corresponding dynamical equation. The emphasis of this paper is on the explicit expressions of the slip effect at the solid-fluid boundary in the dynamics of solid particles in Stokesian fluids.

Original language	English (US)
Pages (from-to)	990-1002
Number of pages	13
Journal	Solid State Communications
Volume	150
Issue number	21-22
DOIs	https://doi.org/10.1016/j.ssc.2010.01.017
State	Published - Jun 2010

All Science Journal Classification (ASJC) codes

General Chemistry
Condensed Matter Physics
Materials Chemistry

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10.1016/j.ssc.2010.01.017

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title = "The slip boundary condition in the dynamics of solid particles immersed in Stokesian flows",

abstract = "This paper reviews the classical theories of the dynamics of solid particles in a viscous flow via traditional Navier-Stokes/Stokes equations with slip or nonslip boundary conditions, and also studies a corresponding dynamical equation. The emphasis of this paper is on the explicit expressions of the slip effect at the solid-fluid boundary in the dynamics of solid particles in Stokesian fluids.",

author = "Huan Sun and Chun Liu",

note = "Funding Information: This research is partially supported by the NSF grants DMS-0707594, DMS-0509094, and the Kavli Institute for Theoretical Physics China at Chinese Academy of Sciences. The authors would like to thank Professors Tiezheng Qian and Qi Wang for helpful discussions and comments on the early versions of this paper. Copyright: Copyright 2010 Elsevier B.V., All rights reserved.",

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AU - Liu, Chun

N1 - Funding Information: This research is partially supported by the NSF grants DMS-0707594, DMS-0509094, and the Kavli Institute for Theoretical Physics China at Chinese Academy of Sciences. The authors would like to thank Professors Tiezheng Qian and Qi Wang for helpful discussions and comments on the early versions of this paper. Copyright: Copyright 2010 Elsevier B.V., All rights reserved.

PY - 2010/6

Y1 - 2010/6

N2 - This paper reviews the classical theories of the dynamics of solid particles in a viscous flow via traditional Navier-Stokes/Stokes equations with slip or nonslip boundary conditions, and also studies a corresponding dynamical equation. The emphasis of this paper is on the explicit expressions of the slip effect at the solid-fluid boundary in the dynamics of solid particles in Stokesian fluids.

AB - This paper reviews the classical theories of the dynamics of solid particles in a viscous flow via traditional Navier-Stokes/Stokes equations with slip or nonslip boundary conditions, and also studies a corresponding dynamical equation. The emphasis of this paper is on the explicit expressions of the slip effect at the solid-fluid boundary in the dynamics of solid particles in Stokesian fluids.

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ER -

The slip boundary condition in the dynamics of solid particles immersed in Stokesian flows

Abstract

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