Mobility of permeable fractal agglomerates in slip regime

P. Vainshtein; M. Shapiro

doi:10.1016/j.jcis.2004.08.155

Mobility of permeable fractal agglomerates in slip regime

P. Vainshtein, M. Shapiro^*

^*Corresponding author for this work

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

20 Scopus citations

Abstract

Hydrodynamic drag and mobility of fractal aggregates in the slip creeping flow regime are calculated. A theoretical continuum model of the gas slip flow past and within agglomerates is developed. It accounts for effects of flow rarefaction and porous fractal structure upon the molecular mean free path, apparent viscosity, and effective permeability of agglomerates. It is shown that flow rarefaction significantly diminishes the aggregates' drag to an extent that cannot be predicted by the Cunningham's drag correction factor. The developed model allows calculation the agglomerates' transport properties in a wide range of fractal dimensions. For low Df agglomerates the drag force agrees with the Friedlander's expression based on the Epstein's single sphere drag in the free molecular regime.

Original language	English
Pages (from-to)	501-509
Number of pages	9
Journal	Journal of Colloid and Interface Science
Volume	284
Issue number	2
DOIs	https://doi.org/10.1016/j.jcis.2004.08.155
State	Published - 15 Apr 2005
Externally published	Yes

Keywords

Agglomerate
Drag
Fractal dimension
Porosity
Slip flow

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10.1016/j.jcis.2004.08.155

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title = "Mobility of permeable fractal agglomerates in slip regime",

abstract = "Hydrodynamic drag and mobility of fractal aggregates in the slip creeping flow regime are calculated. A theoretical continuum model of the gas slip flow past and within agglomerates is developed. It accounts for effects of flow rarefaction and porous fractal structure upon the molecular mean free path, apparent viscosity, and effective permeability of agglomerates. It is shown that flow rarefaction significantly diminishes the aggregates' drag to an extent that cannot be predicted by the Cunningham's drag correction factor. The developed model allows calculation the agglomerates' transport properties in a wide range of fractal dimensions. For low Df agglomerates the drag force agrees with the Friedlander's expression based on the Epstein's single sphere drag in the free molecular regime.",

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TY - JOUR

T1 - Mobility of permeable fractal agglomerates in slip regime

AU - Vainshtein, P.

AU - Shapiro, M.

PY - 2005/4/15

Y1 - 2005/4/15

N2 - Hydrodynamic drag and mobility of fractal aggregates in the slip creeping flow regime are calculated. A theoretical continuum model of the gas slip flow past and within agglomerates is developed. It accounts for effects of flow rarefaction and porous fractal structure upon the molecular mean free path, apparent viscosity, and effective permeability of agglomerates. It is shown that flow rarefaction significantly diminishes the aggregates' drag to an extent that cannot be predicted by the Cunningham's drag correction factor. The developed model allows calculation the agglomerates' transport properties in a wide range of fractal dimensions. For low Df agglomerates the drag force agrees with the Friedlander's expression based on the Epstein's single sphere drag in the free molecular regime.

AB - Hydrodynamic drag and mobility of fractal aggregates in the slip creeping flow regime are calculated. A theoretical continuum model of the gas slip flow past and within agglomerates is developed. It accounts for effects of flow rarefaction and porous fractal structure upon the molecular mean free path, apparent viscosity, and effective permeability of agglomerates. It is shown that flow rarefaction significantly diminishes the aggregates' drag to an extent that cannot be predicted by the Cunningham's drag correction factor. The developed model allows calculation the agglomerates' transport properties in a wide range of fractal dimensions. For low Df agglomerates the drag force agrees with the Friedlander's expression based on the Epstein's single sphere drag in the free molecular regime.

KW - Agglomerate

KW - Drag

KW - Fractal dimension

KW - Porosity

KW - Slip flow

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DO - 10.1016/j.jcis.2004.08.155

M3 - 文章

C2 - 15780288

AN - SCOPUS:15244355383

SN - 0021-9797

VL - 284

SP - 501

EP - 509

JO - Journal of Colloid and Interface Science

JF - Journal of Colloid and Interface Science

IS - 2

ER -

Mobility of permeable fractal agglomerates in slip regime

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Keywords

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