Anderson J L, Quinn J A
Biophys J. 1974 Feb;14(2):130-50. doi: 10.1016/S0006-3495(74)70005-4.
The basic hydrodynamic equations governing transport in submicron pores are reexamined. Conditions necessary for a simplified, one-dimensional treatment of the diffusion/convection process are established. Steric restrictions and Brownian motion are incorporated directly into the resulting model. Currently available fluid mechanical results are used to evaluate an upper limit on hindered diffusion; this limit is valid for small particle-to-pore ratios. Extensions of the analysis are shown to depend on numerical solutions of the related hydrodynamic problem, that of asymmetrical particle motion in a bounded fluid.
重新审视了控制亚微米孔隙中传输的基本流体动力学方程。建立了对扩散/对流过程进行简化一维处理所需的条件。空间位阻和布朗运动直接纳入所得模型。利用现有的流体力学结果来评估受阻扩散的上限;该上限对于小颗粒与孔隙比是有效的。分析的扩展表明取决于相关流体动力学问题的数值解,即有界流体中不对称颗粒运动的问题。