HINDERED BROWNIAN DIFFUSION OF SPHERICAL SOLUTES WITHIN CIRCULAR CYLINDRICAL PORES

HINDERED BROWNIAN DIFFUSION OF SPHERICAL SOLUTES WITHIN CIRCULAR CYLINDRICAL PORES
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DOI:
10.1021/ie00033a030
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发表时间:
1994-09-01
影响因子:
4.2
通讯作者:
BALGI, G
BALGI, G
中科院分区:
工程技术3区
文献类型:
--
作者:
NITSCHE, JM;BALGI, G

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考虑壁曲率的详细渐近分析扩展了用于流体动力学阻碍因子的Brenner-Gaydos公式(J. Colloid Interface Sci. 1977,58,312-356),得到形式为(D)/bar/D infinity =(1 - lambda)(-2)[1 +(9/8)lambda ln lambda - 1.539 lambda + C-2 lambda(2)+ o(lambda(2))]的新结果,其中C-2近似于1.2,其中lambda表示溶质与孔半径的比率。通过与边界元计算和实验结果的比较,对(D)跨杆近似公式的准确性作了明确的评价。
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 lambda(2), yielding a new result of the form (D) over bar/D infinity = (1 - lambda)(-2) [1 + (9/8)lambda ln lambda - 1.539 lambda + C-2 lambda(2) + o(lambda(2))], with C-2 approximate to 1.2, where lambda denotes the ratio of solute to pore radii. The accuracy of approximate formulas for (D) over bar is assessed definitively by comparison with recent boundary element calculations and experiments.