ON BROWNIAN DYNAMICS WITH HYDRODYNAMIC WALL EFFECTS: A PROBLEM IN DIFFUSION NEAR A FIBER, AND THE MEANING OF THE NO-FLUX BOUNDARY CONDITION
作者:
JOHANNESM. NITSCHE,
期刊:
Chemical Engineering Communications
(Taylor Available online 1996)
卷期:
Volume 148-150,
issue 1
页码: 623-651
ISSN:0098-6445
年代: 1996
DOI:10.1080/00986449608936536
出版商: Taylor & Francis Group
关键词: Brownian dynamics;Hydrodynamic wall effects;No-Flux boundary condition
数据来源: Taylor
摘要:
An analysis is presented of the steady-state diffusion of spherical Brownian partcles through an effectively infinite expanse of fluid perforated by a circular cylindrical fiber. Detailed Stokes-flow calculations quantify the solute-fiber hydrodynamic interaction in three regimes covering the full range of solute-fiber separations, and lead to an approximate expression for the position-dependent diffusion dyadic. Thereafter, solution of the pertinent Brownian dynamic problem yields the perturbation caused by the fiber to a linear variation of the solute concentration. The results illustrate a general conclusion, derivable by simple scaling arguments, that the normal derivative of the solute concentration must tend to zero with decreasing solute-wall gap ε as [ln(1/ε)]−1
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