Hindered Brownian Diffusion of Spherical Solutes within Circular Cylindrical Pores

Johannes M. Nitsche; Ganesh Balgi

doi:10.1021/ie00033a030

Hindered Brownian Diffusion of Spherical Solutes within Circular Cylindrical Pores

Johannes M. Nitsche
, Ganesh Balgi

Department of Chemical and Biological Engineering

SUNY Buffalo

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

31 Scopus citations

Abstract

A detailed asymptotic analysis accounting for wall curvature extends the Brenner-Gaydos formula for the hydrodynamic hindrance factor (J. Colloid Interface Sci. 1977,58,312-356) to terms of order λ², yielding a new result of the form D/D_∞ = (1 − λ)⁻² [1 + (9/8) λ In λ − 1.539 λ + C₂ λ² + 0(λ²)], with C₂ ≈ 1.2, where λ denotes the ratio of solute to pore radii. The accuracy of approximate formulas for D is assessed definitively by comparison with recent boundary element calculations and experiments.

Original language	English
Pages (from-to)	2242-2247
Number of pages	6
Journal	Industrial and Engineering Chemistry Research
Volume	33
Issue number	9
DOIs	https://doi.org/10.1021/ie00033a030
State	Published - Sep 1 1994

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title = "Hindered Brownian Diffusion of Spherical Solutes within Circular Cylindrical Pores",

abstract = "A detailed asymptotic analysis accounting for wall curvature extends the Brenner-Gaydos formula for the hydrodynamic hindrance factor (J. Colloid Interface Sci. 1977,58,312-356) to terms of order λ2, yielding a new result of the form D/D∞ = (1 − λ)−2 [1 + (9/8) λ In λ − 1.539 λ + C2 λ2 + 0(λ2)], with C2 ≈ 1.2, where λ denotes the ratio of solute to pore radii. The accuracy of approximate formulas for D is assessed definitively by comparison with recent boundary element calculations and experiments.",

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year = "1994",

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T1 - Hindered Brownian Diffusion of Spherical Solutes within Circular Cylindrical Pores

AU - Nitsche, Johannes M.

AU - Balgi, Ganesh

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Y1 - 1994/9/1

N2 - A detailed asymptotic analysis accounting for wall curvature extends the Brenner-Gaydos formula for the hydrodynamic hindrance factor (J. Colloid Interface Sci. 1977,58,312-356) to terms of order λ2, yielding a new result of the form D/D∞ = (1 − λ)−2 [1 + (9/8) λ In λ − 1.539 λ + C2 λ2 + 0(λ2)], with C2 ≈ 1.2, where λ denotes the ratio of solute to pore radii. The accuracy of approximate formulas for D is assessed definitively by comparison with recent boundary element calculations and experiments.

AB - A detailed asymptotic analysis accounting for wall curvature extends the Brenner-Gaydos formula for the hydrodynamic hindrance factor (J. Colloid Interface Sci. 1977,58,312-356) to terms of order λ2, yielding a new result of the form D/D∞ = (1 − λ)−2 [1 + (9/8) λ In λ − 1.539 λ + C2 λ2 + 0(λ2)], with C2 ≈ 1.2, where λ denotes the ratio of solute to pore radii. The accuracy of approximate formulas for D is assessed definitively by comparison with recent boundary element calculations and experiments.

UR - https://www.scopus.com/pages/publications/0028501737

U2 - 10.1021/ie00033a030

DO - 10.1021/ie00033a030

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JO - Industrial and Engineering Chemistry Research

JF - Industrial and Engineering Chemistry Research

IS - 9

ER -

Hindered Brownian Diffusion of Spherical Solutes within Circular Cylindrical Pores

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