A multi-parametric simulation of the 2-D steady transverse flow of viscous incompressible fluid and diffusion transport of a dissolved solute past a model fibrous medium – a row of parallel sorbent fibers or hollow-fiber membranes is performed in a wide range of Schmidt ($\mathit{Sc}$) and Peclet ($\mathit{Pe}$) numbers for fiber Reynolds numbers up to $\mathit{Re}$ = 100. The Navier-Stokes and convection-diffusion equations are solved numerically and the fiber capture efficiency for solute molecules is calculated as a function of $\mathit{Re}$, $\mathit{Sc}$ and inter-fiber distance. The field of solute concentration and the fiber capture efficiency are found with zero concentration-fixed and diffusion flux boundary conditions set at the streamlined fiber surface, and the difference between the results of simulations with the two boundary conditions is shown for high Peclet numbers. It is also shown that the fiber capture efficiencies estimated with both boundary conditions tend to a constant maximum value for low Peclet numbers. The results of simulations for the fiber capture efficiency are validated by comparison with existing analytical asymptotic solutions for low and high Peclet numbers, and the agreement is shown.

粘性不可压缩流体的二维稳态横向流动和溶解的溶质通过模型纤维介质的扩散传输的多参数模拟-在广泛的Schmidt范围内进行一排平行的吸附剂纤维或中空纤维膜（$\mathit{SC}$）和Peclet（$\mathit{PE}$）光纤雷诺数最大为 $\mathit{回覆}$ =100。通过数值求解Navier-Stokes和对流扩散方程，并根据以下公式计算溶质分子的纤维捕获效率： $\mathit{回覆}$， $\mathit{SC}$和光纤之间的距离。在流线化纤维表面设置了零浓度固定和扩散通量边界条件的情况下，找到了溶质浓度和纤维捕获效率的场，并且对于高Peclet数，显示了两种边界条件下的模拟结果之间的差异。还显示出在两个边界条件下估计的纤维捕获效率在低Peclet数下趋于恒定的最大值。通过与现有的针对低和高Peclet数的分析渐近解进行比较，验证了纤维捕获效率的仿真结果，并表明了一致性。